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  • 1
    Publication Date: 2021-05-19
    Description: Aleksey Sergeevich Vinnov (25.05.1958 – 04.06.2019) was a Candidate of Sciences (Engineering), an Associate Professor, a talented lecturer, a rector of the Kerch Maritime Technological Institute (KMTI) in 2000–2005, a Senior Researcher in the FSBSI “Southern Scientific Research Institute of Marine Fisheries and Oceanography” (YugNIRO), and a Deputy Head for Operation and Quality of the Limited Liability Company under the Laws of Russian Federation “Aquamarine”. A.S. Vinnov made a great contribution into the development of education and science in the field of fisheries. Aleksey Sergeevich began his professional life as a Junior Researcher in the Astrakhan Technical Institute of Fishing Industry and Economy and defended his Candidate's Thesis in 1988. He dedicated the major part of his working career to the Kerch State Maritime Technological University, where he had been employed for 21 years, taking positions from a senior lecturer of the Department of Fish Processing Technology, an Associate Professor, the Dean of the Technological Faculty, the vice-rector for academic affairs, to the rector of the University. A.S. Vinnov was known for his rational thinking and professional integrity; he was diplomatic and considerate, and proved to be a competent leader. Vinnov's research works were dedicated to the issues of development of production technology for canned fish and fish protein mass, of kinetics of enzymatic hydrolysis, and many other subjects. A.S. Vinnov was honored with several badges of distinction due to his high professional expertise and personal contribution to the development of fisheries field, particularly education.
    Description: Алексей Сергеевич Виннов (25.05.1958 – 04.06.2019 гг.) — кандидат технических наук, доцент, талантливый преподаватель, ректор Керченского морского технологического института с 2000 по 2005 г. (КМТИ), старший научный сотрудник ФГБНУ «Южный научно-исследовательский институт рыбного хозяйства и океанографии» (ЮгНИРО), заместитель директора по производству и качеству ООО «Аквамарин». А.С. Виннов внес огромный вклад в развитие образования и науки рыбной отрасли. Свою трудовую деятельность Алексей Сергеевич начал в должности младшего научного сотрудника Астраханского технического института рыбной промышленности и хозяйства, успешно защитив в 1988 г. кандидатскую диссертацию. Большую часть своей трудовой деятельности он посвятил Керченскому государственному морскому технологическому университету, проработав здесь 21 год в должностях от старшего преподавателя кафедры технологии рыбных продуктов, доцента, декана технологического факультета, проректора по учебной работе до ректора университета. А.С. Виннов обладал рациональным мышлением, был очень грамотным, тактичным человеком, умелым руководителем. Научная деятельность Алексея Сергеевича была посвящена изучению вопросов усовершенствования технологии рыбных консервов, рыбных белковых масс, кинетики ферментативного гидролиза, а также многим другим. За личный вклад в развитие образования и рыбной отрасли, за высокий профессионализм А.С. Виннов был удостоен ряда почетных знаков отличия.
    Description: Published
    Keywords: Researchers ; Engineering ; Fish processing ; Canned food ; Rector ; Proteins ; Hydrolysis
    Repository Name: AquaDocs
    Type: Journal Contribution , Refereed
    Format: pp.91-95
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  • 2
    Publication Date: 2021-05-19
    Description: Наряду с исследованиями по определению сырьевой базы Азово-Черноморского бассейна, при создании института АзЧерНИРО в 1933 г. была сразу организована научно-исследовательская лаборатория техники лова рыбы. За все время функционирования этого подразделения такие специалисты, как С.С. Виннов, О.И. Саковец, С.Я. Наместников, Е.Е. Шапунов, В.М. Кириллов, В.Г. Герасимов, В.С. Долбиш, Н.Г. Думин, В.Г. Васильев, А.А. Яковлев, Е.С. Деньгин, В.И. Абакаров, В.Н. Миронов, В.В. Стрельцов, А.С. Вайнерман, В.К. Яшкин, Ю.В. Шишов, А.М. Стафикопуло в течение многих лет вносили огромный вклад в развитие рыболовства в Азово-Черноморском бассейне и Мировом океане. До 1950 г. траловый промысел в Черном море отсутствовал, хотя были известны попытки внедрить этот вид лова в черноморское рыболовство. Так, в начале 1909 г. в северо-западной части Черного моря работал траулер «Федя». К концу 1911 г. количество траулеров, которые работали в данном регионе моря, увеличилось до 9 судов. Уловы состояли на 98-99 % из осетровых и на 1-2 % из камбалы. Ввиду очень большого вылова молоди осетровых рыб траловый промысел вскоре был запрещен. В 1932 г. из Мурманска для выяснения эффективности тралового лова в Черном море был послан рыболовный траулер «Абрек». Почти у всего черноморского побережья пробовали ловить отечественным промысловым тралом, применяемым в Баренцевом море для добычи трески. При этом отмечалось, что уловы камбалы были очень низкими. Очевидно, одной из причин была неприспособленность самой конструкции трала для лова этого вида рыб. В конце 1933 г. траулер вернулся в Мурманск. В 1949 г. Черноморская научно-промысловая экспедиция возобновила работы по освоению тралового лова в Черном море. Перед экспедицией стояла задача всесторонне изучить ихтиофауну моря и выяснить возможности применения ряда поисковых орудий лова, в том числе донного трала. С этой целью было разработано и испытано несколько типов донных тралов. С конца 1949 г. были начаты исследования по разработке конструкции разноглубинного трала для Черного моря. К тому времени инженерами М.К. Кокоревым, В.Ф. Шушпановым и А.Н. Потехиным была разработана специальная подъемно-распорная система. В соответствии с ее техническими данными в дальнейшем проектировались сетные части трала. Первый проект опытного рыболовного разноглубинного морского трала разрабатывался для лова мелких черноморских пелагических рыб в толще воды, на глубинах от 0 до 100 м, с одного судна. Большой вклад в развитие тралового промысла в Черном море внес А.Н. Самарянов.
    Description: Published
    Keywords: Engineering ; Fishing gear ; Fishing fleet ; Fishing vessels ; Trawlers ; Anchovy fisheries ; Sprat fisheries ; Purse fishing ; Commercial species ; Mullets
    Repository Name: AquaDocs
    Type: Conference Material , Non Refereed
    Format: pp.247-254
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  • 3
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2018-08-17
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 4
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2018-08-17
    Description: Polyamide thickness and roughness have been identified as critical properties that affect thin-film composite membrane performance for reverse osmosis. Conventional formation methodologies lack the ability to control these properties independently with high resolution or precision. An additive approach is presented that uses electrospraying to deposit monomers directly onto a substrate, where they react to form polyamide. The small droplet size coupled with low monomer concentrations result in polyamide films that are smoother and thinner than conventional polyamides, while the additive nature of the approach allows for control of thickness and roughness. Polyamide films are formed with a thickness that is controllable down to 4-nanometer increments and a roughness as low as 2 nanometers while still exhibiting good permselectivity relative to a commercial benchmarking membrane.
    Keywords: Engineering
    Print ISSN: 0036-8075
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    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 5
    Publication Date: 2018-09-07
    Description: Zeolitic imidazolate framework (ZIF) membranes are emerging as a promising energy-efficient separation technology. However, their reliable and scalable manufacturing remains a challenge. We demonstrate the fabrication of ZIF nanocomposite membranes by means of an all-vapor-phase processing method based on atomic layer deposition (ALD) of ZnO in a porous support followed by ligand-vapor treatment. After ALD, the obtained nanocomposite exhibits low flux and is not selective, whereas after ligand-vapor (2-methylimidazole) treatment, it is partially transformed to ZIF and shows stable performance with high mixture separation factor for propylene over propane (an energy-intensive high-volume separation) and high propylene flux. Membrane synthesis through ligand-induced permselectivation of a nonselective and impermeable deposit is shown to be simple and highly reproducible and holds promise for scalability.
    Keywords: Engineering
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    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 6
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2018-09-14
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 7
    Publication Date: 2018-09-14
    Description: Insects are among the most agile natural flyers. Hypotheses on their flight control cannot always be validated by experiments with animals or tethered robots. To this end, we developed a programmable and agile autonomous free-flying robot controlled through bio-inspired motion changes of its flapping wings. Despite being 55 times the size of a fruit fly, the robot can accurately mimic the rapid escape maneuvers of flies, including a correcting yaw rotation toward the escape heading. Because the robot’s yaw control was turned off, we showed that these yaw rotations result from passive, translation-induced aerodynamic coupling between the yaw torque and the roll and pitch torques produced throughout the maneuver. The robot enables new methods for studying animal flight, and its flight characteristics allow for real-world flight missions.
    Keywords: Engineering
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    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 8
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2018-04-27
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 9
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2018-09-14
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 10
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2018-03-09
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 11
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2018-01-19
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 12
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-06-23
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 13
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-06-23
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 14
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-06-16
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 15
    Publication Date: 2017-06-23
    Description: Exoskeletons and active prostheses promise to enhance human mobility, but few have succeeded. Optimizing device characteristics on the basis of measured human performance could lead to improved designs. We have developed a method for identifying the exoskeleton assistance that minimizes human energy cost during walking. Optimized torque patterns from an exoskeleton worn on one ankle reduced metabolic energy consumption by 24.2 ± 7.4% compared to no torque. The approach was effective with exoskeletons worn on one or both ankles, during a variety of walking conditions, during running, and when optimizing muscle activity. Finding a good generic assistance pattern, customizing it to individual needs, and helping users learn to take advantage of the device all contributed to improved economy. Optimization methods with these features can substantially improve performance.
    Keywords: Engineering
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    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 16
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-11-24
    Keywords: Engineering
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    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 17
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-12-01
    Description: Kim et al . (Reports, 28 April 2017, p. 430) presented results for the solar-driven harvesting of water from air via metal-organic frameworks as a prodigious potential advance toward remedying global water shortages. Basic thermodynamics and a survey of multiple off-the-shelf technologies show that their approach is vastly inferior in efficiency (and thereby in feasibility) to available alternatives.
    Keywords: Engineering
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  • 18
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-12-01
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 19
    Publication Date: 2017-12-01
    Description: In their comment, Bui et al . argue that the approach we described in our report is vastly inferior in efficiency to alternative off-the-shelf technologies. Their conclusion is invalid, as they compare efficiencies in completely different operating conditions. Here, using heat transfer and thermodynamics principles, we show how Bui et al .’s conclusions about the efficiencies of off-the-shelf technologies are fundamentally flawed and inaccurate for the operating conditions described in our study.
    Keywords: Engineering
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  • 20
    Publication Date: 2017-05-12
    Description: Bacteria within communities can interact to organize their behavior. It has been unclear whether such interactions can extend beyond a single community to coordinate the behavior of distant populations. We discovered that two Bacillus subtilis biofilm communities undergoing metabolic oscillations can become coupled through electrical signaling and synchronize their growth dynamics. Coupling increases competition by also synchronizing demand for limited nutrients. As predicted by mathematical modeling, we confirm that biofilms resolve this conflict by switching from in-phase to antiphase oscillations. This results in time-sharing behavior, where each community takes turns consuming nutrients. Time-sharing enables biofilms to counterintuitively increase growth under reduced nutrient supply. Distant biofilms can thus coordinate their behavior to resolve nutrient competition through time-sharing, a strategy used in engineered systems to allocate limited resources.
    Keywords: Engineering
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  • 21
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-05-12
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 22
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-02-17
    Description: Engineering has an image problem. The phrase "engineering disaster" rolls off the tongue, while great technical achievements are more often heralded as "scientific miracles." Enter Dream Big. Sponsored by the American Society of Civil Engineers with support from Bechtel Corporation, the film sets out to reframe engineering as a force for good and a profession in service to people and the planet. Author: Donna Riley
    Keywords: Engineering
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  • 23
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-07-21
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 24
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-07-21
    Keywords: Engineering
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 25
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-05-26
    Keywords: Engineering
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    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Geosciences , Computer Science , Medicine , Natural Sciences in General , Physics
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  • 26
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2017-11-10
    Keywords: Engineering
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  • 27
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2016-07-08
    Description: The Internet connects billions of computational platforms of various sizes, from supercomputers to smart phones. However, the same types of data transmission can connect computational resources to much simpler sensors “at the edge of the net” that collect, analyze, and transmit data, as well as controllers that receive instructions. Devices deployed in the environment, homes and offices, and even our bodies would expand the number of connected devices to the trillions. This “Internet of Things” (IoT) underlies the vision of smart homes and buildings that could sense and transmit their status and respond appropriately (1), or track and report on the state of objects (vehicles, goods, or even animals) in the environment. However, the practical implementation of the IoT has been relatively slow, in part because all of these edge devices must draw electrical power from their local environment. We analyze the use of photovoltaics (PV) to power devices and help bring the IoT to fruition. Authors: Richard Haight, Wilfried Haensch, Daniel Friedman
    Keywords: Engineering
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  • 28
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2016-04-22
    Description: So prized by the ancient Romans were Egyptian obelisks that, at one time, more of them stood in Rome than in Egypt. In the 19th century, France, Britain, and the United States—inspired by Napoleon Bonaparte's expedition to Egypt in 1798— acquired their own major obelisks from Alexandria and Luxor. Cleopatra's Needles, by Egyptologist Bob Brier, explores the engineering challenges associated with building and erecting these massive monuments. Author: Andrew Robinson
    Keywords: Engineering
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  • 29
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    American Association for the Advancement of Science (AAAS)
    In: Science
    Publication Date: 2016-10-21
    Description: A physicist reveals the engineering marvels that underlie the modern metropolis Author: Sybil Derrible
    Keywords: Engineering
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  • 30
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984) 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
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  • 31
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1-14 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The solution of dynamic contact (elastic impact) problems is complicated by the changing nature of the contact area. If a finite element approach is used, the system matrices vary with the contact area. If the problem is properly formulated, such changes are rank one. Rank one changes produce easily determinable changes in the LDLT decompositions of the system matrices. This renders a class of dynamic contact problems soluble with the same accuracy and computational effort as is associated with the solution of any dynamic problem using finite element procedures. Consideration of an example problem involving the impact of spring-mass systems confirms this claim.
    Additional Material: 1 Ill.
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  • 32
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 101-119 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A method is described to derive finite element schemes for the scalar convection equation in one or more space dimensions. To produce accurate temporal differencing, the method employs forward-time Taylor series expansions including time derivatives of second- and third-order which are evaluated from the governing partial differential equation. This yields a generalized time-discretized equation which is successively discretized in space by means of the standard Bubnov-Galerkin finite element method. The technique is illustrated first in one space dimension. With linear elements and Euler, leap-frog and Crank-Nicolson time stepping, several interesting relations with standard Galerkin and recently developed Petrov-Galerkin methods emerge and the new Taylor-Galerkin schemes are found to exhibit particularly high phase-accuracy with minimal numerical damping. The method is successively extended to deal with variable coefficient problems and multi-dimensional situations.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 175-181 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 169-173 
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    Notes: A two-noded, straight element with one-point quadrature is introduced for the unsymmetrical bending of orthotropic axisymmetric shells. The numerical results indicate that the present simple element performs accurately for both thick and thin shell applications.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 187-194 
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    Notes: Numerical results using uniform h-refinement approaches to the solution of a pair of elasticity problems with singularities are presented and compared to recently published results based on the uniform p-refinement approaches.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 143-167 
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    Notes: Steady-state, free surface seepage through a heterogeneous porous medium underlain by a drain at a finite depth is solved using a fixed domain solution technique. The problems investigated are axisymmetric seepage from a circular pond and plane seepage from a symmetric channel. These ponds and channels may have variable shaped bottoms. Since the Baiocchi transformation was used to define a new dependent variable, the form of the permeability function was restricted to a product of functions of the independent variables. Herein the permeability was chosen to be a function of the depth only. For certain forms of this function, namely those having negative gradients, part of the flowfield becomes unsaturated and this violates the assumed saturation of the flowfield in the flow theory. The governing differential equation, which holds in the sense of distributions, is derived for a fixed solution domain and a simple algorithm (a finite difference successive over-relaxation scheme with projection) is given to obtain the solution to these free surface problems. Numerous comparisons are made with published results. Rigorous mathematical justification of the methods used herein can be found in the references cited.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 195-195 
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    International Journal for Numerical Methods in Engineering 20 (1984) 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 182-186 
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    Notes: Bathe's basic algorithm of subspace iteration for the solution of the symmetric eigenvalue problem is improved by including a Chebyshev filtering mechanism. To obtain satisfactory convergence for the largest eigenvalues, a shifting strategy is adopted. The shift factor is approximately computed by the Lanczos process.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 479-503 
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    Notes: A transfer-matrix analysis is presented for determining the static behaviour of thick beams of ‘multimodular materials’ (i.e. materials which have different elastic behaviour in tension and compression, with nonlinear stress-strain curves approximated as piecewise linear, with four or more segments). To validate the transfer-matrix method results, a closed-form solution is also presented for cases in which the neutral-surface location is constant along the beam axis. Numerical results for axial displacement, transverse deflection, bending slope, bending moment, transverse shear, axial force and location of neutral surface are presented for multimodular and bimodular models of unidirectional aramid cordrubber. The transfer-matrix method results agree very well with the closed-form solutions.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 523-528 
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    Notes: An 8-node brick element based on the assumed stress hybrid formulation is described. With three additional stress fields, the element stiffness matrix now has the required rank of 18, and the ‘bending’ response is exact with rectangular elements. Surprisingly, the 2 × 2 × 2 Gauss rule suffices for all numerical integrations, to satisfy the constant stress patch test.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 529-548 
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    Notes: An assumed stress hybrid curvilinear triangular finite element is described which is based upon the Kirchhoff theory of plate bending. The derivation extends the assumed stress hybrid technique to curvilinear boundaries where the twelve connectors are related to those of an equilibrium rectilinear element and to Semiloof. The solution process demands only first derivatives of the shape functions.The element is subjected to various patch tests for constant bending, e.g. where the central element is in close approximation to a circle. All tests are passed for stress couples and vertex displacements, but values of the remaining connectors do not resemble exact results. Patch tests for rigid-body movements are passed exactly in every respect.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 505-514 
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    Notes: A numerical technique has been developed to solve a system that consists of m linear parabolic differential equations with coupled nonlinear boundary conditions. Such a system may represent chemical reactions, chemical lasers and diffusion problems. An implicit finite difference scheme is adopted to discretize the problem, and the resulting system of equations is solved by a novel technique that is a modification of the cyclic odd-even reduction and factorization (CORF) algorithm. At each time level, the system of equations is first reduced to m nonlinear algebraic equations that involve only the m unknown grid points on the nonlinear boundary. Newton's method is used to determine these m unknowns, and the corresponding Jacobian matrix can be computed and updated easily. After convergence is achieved, the remaining unknowns are solved directly. The efficiency of this technique is illustrated by the numerical computations of two examples previously solved by the cubic spline Galerkin method.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 549-553 
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    Notes: It is demonstrated that finite element discretizations may not, in general, satisfy the maximum principle; and sufficient conditions are presented to guarantee that solutions based on bilinear elements do satisfy the maximum principle.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 515-522 
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    Notes: The efficiency and computational accuracy of the boundary element and finite element methods are compared in this paper. This comparison is carried out by employing different degrees of mesh refinement to solve a specific illustrative problem by the two methods.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 565-572 
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    Notes: The BEM is shown to be superior to FEM with respect to economy (man hour and data processing) and convergence (with increasing number of boundary nodes) in the elasic notch stress analysis of compact components.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 555-563 
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    Notes: This note discusses the numerical solution of the kinematic wave equation under those conditions when the solution contains a discontinuous shock. A finite element solution is described in which shocks are represented by discrete nodal discontinuities. The implementation of the method follows conventional finite element practice over the shockless regions of the solution domain which are coupled by frontal constraints. The basis of the method and examples of its application to the solution of the kinematic wave equation in one and two dimensions are presented.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 887-914 
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    Notes: A concise survey of formulation methods of geometric and material nonlinearity problems is given. Differences between existing formulations in the literature are discussed. A consistent Lagrangian and updated Lagrangian formulations are derived from the energy balance equation transformed to the proper reference configuration. Differences between the existing formulations and similar ones in the literature are found to be in specific geometric nonlinear terms in the final incremental equation as well as in the definition of the load increment vector. Specific forms of constitutive equations for elastic and elastoplastic materials are presented. Some of the forms used by other authors in application to elastoplastic materials are shown to be inconsistent. Sample numerical examples intended for checking some particular points in the formulation are presented.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 845-849 
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    Notes: Two numerical methods for solving two-point boundary-value problems associated with systems of first-order nonlinear ordinary differential equations are described. The first method, which is based on Lobatto quadrature, requires four internal function evaluations for each subinterval. It does not need derivatives and is of order h7, where h is the space chop. The second method, which is similar to the first but is based on Lobatto-Hermite quadrature, makes the additional use of derivatives to achieve O(h9) accuracy. Results of computational experiments comparing these methods with other known methods are given.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 915-929 
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    Notes: An almost linear optimization problem of importance in vibration isolation has been identified and algorithms were developed to minimize the forced vibrational response of structural systems. The constraints can be either displacements or accelerations. These algorithms have been studied for transient response, frequency response and stationary random using the direct dynamic solution. Multiple response points and loading conditions may be used.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 949-966 
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    Notes: When applied to large sparse sets of simultaneous equations, classical iterative methods may yield very poor convergence rates. This paper gives an incomplete Choleski-conjugate gradient algorithm (ICCG) which has reliably good convergence rates at the expense of computing and using at each iteration an incomplete Choleski factor of the coefficient matrix. The method is applicable to any problems in which the coefficient matrix is symmetric positive definite and is likely to be advantageous with respect to elimination when it is not possible to represent the equations in a dense band form.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 931-948 
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    Notes: A method is presented for performing efficient and stable finite element calculations of heat conduction with quadrilaterals using one-point quadrature. The stability in space is obtained by using a stabilization matrix which is orthogonal to all linear fields and its magnitude is determined by a stabilization parameter. It is shown that the accuracy is almost independent of the value of the stabilization parameter over a wide range of values; in fact, the values 3, 2 and 1 for the normalized stabilization parameter lead to the 5-point finite difference, 9-point finite difference and fully integrated finite element operators, respectively, for rectangular meshes; numerical experiments reported here show that the three have identical rates of convergence in the L2 norm. Eigenvalues of the element matrices, which are needed for stability limits, are also given. Numerical applications are used to show that the method yields accurate solutions with large increases in efficiency, particularly in nonlinear problems.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 979-979 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 980-980 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 967-977 
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    Notes: A simple dynamic finite element algorithm for analysing a propagating mixed mode crack tip is presented. A double noding technique, which can be easily incorporated into existing dynamic finite element codes, is used together with a corrected Ĵ integral to extract modes I and II dynamic stress intensity factors of a propagating crack. The utility of the procedure is demonstrated by analysing test problems involving a mode I central crack propagating in a plate subjected to uniaxial tension, a stationary slanted central crack in a plate subjected to uniaxial inpact loading and an extending slanted-edge crack in plate subjected to uniaxial tension.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1370-1371 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1407-1414 
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    Notes: The paper describes the development of an eight-node plane rectangular finite dynamic element and presents detailed descriptions of the associated numerical formulation involving the higher order dynamic correction terms pertaining to the related stiffness and inertia matrices. Numerical test results of free vibration analyses are presented in detail for the newly developed eight-node element and also the corresponding four-node element in order to make a clear comparison of the relative efficiencies of the corresponding finite element and dynamic element procedures. Such results indicate a superior pattern of solution convergence of the presently developed dynamic element.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1415-1431 
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    Notes: A computational strategy for the evaluation of delamination stresses in multilayered fibre-reinforced composites is presented. The approach uses special inter-laminar shear elements and an iterative procedure in the calculation of out-of-plane stresses. Both regular and singular elements for the free edge are presented. The solutions are carried on by switching between direct matrix solution methods of small systems of equations and an iterative conjugate gradient method. The proposed discretization avoids ill-conditioning problems, modelling difficulties and large computational cost associated with three-dimensional analysis of delamination of holes, cut-outs, joints and areas of complex stress states.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1433-1441 
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    Notes: A general, consistent and accurate procedure for obtaining difference equations from differential equations is presented and illustrated by several examples. The procedure is an extension of the integral method and incorporates what is known of the solution to the differential equation in the formation of the corresponding difference equation. For the same accuracy, large increases in grid size over that obtained by standard Taylor's series approximations are possible. Both boundary-value and initial-value problems are treated.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1443-1459 
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    Notes: The standard isoparametric transformation for finite element analysis is shown to be only a special case of a more general transformation which allows for flexibility in locating side and interior element nodes. Side nodes positioned at the same relative distance from corner nodes in both local and global space, and interior nodes positioned such that they do not affect the Jacobian of the co-ordinate transformation, provide improved accuracy over nodes positioned locally without regard for the global configuration. This concept is demonstrated in the context of two-dimensional quadratic quadrilateral isoparametrics, but is also applicable to higher orders and dimensions. In the test cases examined, the new formulation provides a reduction in error of up to three orders of magnitude and also provides accurate solutions for nodal placements which are not allowed using the standard transformations.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1461-1475 
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    Notes: A weighting function by which the mass matrix is made to be diagonal is deduced on the two-dimensional simplex element. Adopting the weighted residual method with the deduced weighting function for spatial domain and the two-step Lax-Wendroff method for time differentiation, the two-dimensinoal tidal flow in a model basin is calculated by means of the explicit finite element method. The water mass transport integrated over one tidal period at some cross-sections of the basin is also estimated, in order to verify the water mass conservation. It is found that the water mass is nearly conserved in the present method, although the usual lumped mass matrix technique fails to conserve.The present explicit finite element method with the conservative form of governing equations is also investigated and the water mass conservation is found to be a little more improved in this case than in the case of non-conservative forms. Application to a real bay indicates that the method with the conservative form of equations could be used for the estimation of tidal residual flow.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1477-1489 
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    Notes: In this work, the plastic stress-strain relation and the incremental elastoplastic stiffness matrix for materials obeying the principal stress yield criterion are derived in the context of the associated theory of plasticity. Particular attention is paid to the treatment of the singularity conditions associated with this yield criterion.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1491-1506 
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    Notes: It is demonstrated that the residual in a compatible (displacement) finite element solution can be partitioned into local self-equilibrating systems on each element. An a posteriori error analysis is then based on a complementary approach and examples indicate that the guaranteed upper bound on the energy of the error is preserved.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1507-1519 
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    Notes: The paper develops a new discrete transform pair which economizes on the number of samples of F(s) and f(t) compared with the standard pair. Whereas the standard pair used uniform sampling along the Bromwich contour, the new method allows a progressive increase in the sampling interval, thereby reducing the number of samples required to meet a specified bandwidth requirement. In the case of the computation of transient responses of physical systems, a reduction by a factor of 10 is not unrealistic. The new transform pair is based on the generalization of fundamental sampling principles. In particular, this leads to an integration contour different from the Bromwich contour.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1553-1554 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1581-1597 
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    Notes: A new family of coupled time integration operators of different orders is developed. It permits different time integration operators to be used simultaneously in various regions of the model. This approach has the advantage of applying a very accurate time integrator, such as Runge Kutta method of order two to four, to the local nonlinear region of interest and a simple time integrator, such as the implicit-explicit or mixed time implicit-explicit method of order one, for the remaining region. The computer implementation aspects, stability analysis as well as the numerical evaluations of these new methods are presented. This is another attractive addition to the repertoire of time integration methods.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1613-1628 
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    Notes: A finite element formulation for elastoviscoplasticity problems in the presence of large strains and deformations is presented in this paper. The formulation is capable of using any of a class of combined creep-plasticity constitutive models with state variables for the description of material behaviour. The specific problem considered is plane strain extrusion using the constitutive model originally proposed by Hart. Numerical results are presented for sample problems and the important effects of extrusion speed and friction (at the die-workpiece interface) on the residual stresses in an extruded sample are investigated. The computer program developed here is quite general and can be modified to solve problems for other manufacturing processes like rolling, sheet forming, etc.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1643-1660 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new direct search package is presented. Typical test functions solved establish the robustness and efficiency of the package. The most significant features of the package are that it works satisfactorily even in single precision and requires much less memory. It needs only the function values and the unidimensional search is totally dispensed with. Methods such as different descent techniques, the RMS procedure, the co-ordinate movement technique and the gallop-canter equalization scheme form the sequence of strategies.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1629-1641 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper attempts to answer two commonly raised questions during the preparation of a finite element mesh, for the linear elastic fracture analysis of cracked structure: how to set up the finite element mesh around the crack tip, and what level of accuracy is to be expected from such a modelling.Two test problems, with known analytical expressions for their stress intensity factors, are analysed by the finite element method using the isoparametric quadratic singular element. The modified parameters were the order of integration, aspect ratio, number of elements surrounding the crack tip, use of transition elements, the singular element length over the total crack length, the symmetry of the mesh around the crack tip. Based on these analyses, a data base is created and various plots produced. The results are interpreted, the accuracy evaluated and recommendations drawn.Contrary to previous reports, it is found that the computed stress intensity factor (SIF) remains within engineering accuracy (10 per cent) throughout a large range of l/a (singular element length over crack length) for problems with a uniform non-singular stress distribution ahead of the crack tip (i.e. double edge notch), and l/a should be less than 0·1 for problems with a non-singular stress gradient (i.e three-point bend). Also, it is found that the best results are achieved by using at least four singular elements around the crack tip, with their internal angles around 45 degrees, and a reduced (2 × 2) numerical integration.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1661-1670 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents and analyses methods for design sensitivity analysis of static response for structural systems when general boundary conditions are used during the analysis phase. The design sensitivity analysis methods where the boundary conditions are used to reduce the equilibrium equation have been presented earlier. In such procedures, the reduced stiffness matrix is non-singular. This fact is used to show differentiability of the displacement vector. When reduction procedures are not used, the global structural stiffness matrix may be singular. In such a case, differentiability of the displacement vector may be questionable. However, it is shown that the displacement vector is still differentiable. Several forms of the structural design sensitivity equations are presented. Although these equations are derived with Lagrange multiplier treatment of general boundary conditions, it is shown that they are applicable with any treatment of general boundary conditions. For example, they can also be used with co-ordinate reduction schemes. Therefore, design sensitivity analysis can be carried out with any existing finite element analysis computer code. Moreover, the procedures presented can be used to calculate sensitivity of a force of constraint can that is desired. The formulations are kept quite general such that design dependent boundary conditions can be routinely treated. An example is used to illustrate the procedures.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1671-1683 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, an efficient, exact zooming technique is developed which employs static condensation and exact structural reanalysis methods. For a multiple level of zooming such that the successive level of zooming is contained within the prior levels of zoom, repeated application of static condensation will reduce the system to one that is associated only with the degrees-of-freedom (dof) of the original model. Then, application of an exact static reanalysis technique permits the displacements at the dof of the original model that are contained in the final zoomed portion of the structure to be obtained first. Next, the response external to the zoom, as well as the response of additional dof within various levels of zooming, can be computed. With the triangular factor of the stiffness matrix of the original system available, this approach involves only the solution of a system of equations of small order. The proposed method is demonstrated by a numerical example.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1697-1702 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An inversion formula based on expansion in a Fourier sine series, proposed by Koizumi in 1935, is examined. It is found to give results of moderate accuracy with relatively little work.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1685-1695 
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    Keywords: Engineering ; Engineering General
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    Notes: A new method for the formulation of hybrid elements by the Hellinger-Reissner principle is established by expanding the essential terms of the assumed stresses as complete polynomials in the natural coordinates of the element. The equilibrium conditions are imposed in a variational sense through the internal displacements which are also expanded in the natural co-ordinates. The resulting element possesses all the ideal qualities, i.e. it is invariant, it is less sensitive to geometric distortion, it contains a minimum number of stress parameters and it provides accurate stress calculations. For the formulation of a 4-node plane stress element, a small perturbation method is used to determine the equilibrium constraint equations. The element has been proved to be always rank sufficient.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1703-1709 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The strain space and traditional stress space formulations of plasticity theory are compared. We show how plasticity theory has been implemented numerically to solve static and dynamic problems, and conclude that the numerical loading criteria that have been used for two decades are identical to the strain space loading criteria proposed by Naghdi and co-workers.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1729-1733 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A PERQ single user computer can be used to animate structure plots, which is of great assistance when interpreting the results from finite element programs. Excellent appreciation may be obtained of a structure oscillating in complicated natural modes. The technique is also useful for studying deformations due to static forces.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1711-1728 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Simple solutions are extracted from the exact compatibility equations of inextensional bending for a special class of shell shapes, and it is speculated that these solutions provide useful criteria towards evaluating finite elements for these and closely related shapes. Curved finite elements of a quadratic parametric representation, which do not belong to the special class, are then studied. By using a series of exact inextensional bending displacements, it is concluded from numerical evidence that the criteria apply to finite element shapes in this representation when they are shallow, as is usually the case in practice. Criteria for homogeneous membrane actions follow from Gol'denveizer's static-geometric analogue.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1745-1749 
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    Keywords: Engineering ; Engineering General
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    Notes: Using the partial-boundary element approach, in which only a part of the boundary in problem is discretized, the elastic torsion problem of a prismatic beam of a cracked rectangular cross-section has been solved in this brief paper, together with a numerical example to show the accuracy and versatility of the approach.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1751-1755 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The radial symmetry of the cable results in circular finite elements to evaluate the potential distribution in a multi-dielectric cable. Owing to this, a two dimensional analysis used in conjunction with triangular finite elements is reduced to one-dimensional analysis. This method therefore suggests an alternative proposal to calculate the potential distribution in a multi-dielectric cable with better accuracy.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1756-1756 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1757-1757 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1757-1758 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1758-1759 
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    International Journal for Numerical Methods in Engineering 20 (1984) 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1791-1796 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Contour plots of finite element solutions, especially for derivatives, often are discarded due to poor plotting algorithms. This note shows how a smoothing scheme based on a minimum surface theory can significantly improve the quality of the graphical results. The scheme proposed is compared with many other smoothing schemes, including least squares, on a simple problem.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1763-1790 
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    Keywords: Engineering ; Engineering General
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    Topics: Mathematics , Technology
    Notes: This paper describes the stages of development of an optimum structural design scheme. Any attempt to generate the optimum scantlings of a structure of even moderate complexity usually poses nonlinear programming problems for which there exist no universally accepted solution method. The structure considered here is a complete compartment of a single-hulled ship acted upon by multiple load cases. The elastic responses under four different load types are obtained by a quasi finite element analysis routine developed specifically for this purpose. Sequential linear programming (SLP) with appropriate artifices to achieve rapid convergence has been successfully employed as an optimization routine to minimize the object function, which in this case was the total weight of the major structural members. The test problem has 490 basic degrees-of-freedom, 21 free design variables and more than 100 mixed constraints, the majority of which are nonlinear implicit stress functions. The method is then applied to a number of cases representative of small warship designs. Suggestions for future extensions and general conclusions are included at the end of the paper.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1815-1821 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The approach of Cermak and Zlamal1 for solving quasilinear parabolic equations is modified and improved. The modified approach leads to a normal system of ODE, which may be solved with a standard program. The numerical solution of a specially selected example is compared with the exact solution. The method is applied on a system of quasilinear parabolic equations, which describes a real process - crystallization of a metal ingot.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1797-1813 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The simulation of a large-scale gas transmission network involves the numerical solution of a large system of initial valued, stiff algebraic/differential equations. Rapid changes in the solution are present due to the disturbances generated by the varying consumer demand and the operation of network controlling devices such as compressors. This paper discusses the design of an efficient variable-step integrator for the solution of the problem. Two sets of strategies are presented for implementing the variable-step integrator; one for the implicit numerical method such as the diagonally implicit Runge-Kutta methods, and the other for the linearly implicit Rosenbrock-type method. The performance of the numerical methods implemented are compared with the British Gas simulation program PAN on a number of large, realistic transmission networks.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1823-1840 
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    Keywords: Engineering ; Engineering General
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    Notes: The optimality conditions for the optimal shape remodelling of linearly elastic plates are obtained by introducing the total variation of a function defined on a variable domain, although the variation of a function has been taken on a fixed domain in most literature on calculus of variations. Using these optimality conditions, a solution scheme involving an iterative algorithm is proposed, together with several numerical examples.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1863-1884 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents a simple scheme for analysing shells subject to the Kirchhoff-Love hypothesis. The method combines a previously developed, statically determinate truss model with the static-geometric analogy of elastic thin shell theory. In this way, both in-plane and flexural mid-surface actions are obtained by simply repeating the elementary computations performed on an essentially ‘membrane’ truss.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1841-1861 
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    Keywords: Engineering ; Engineering General
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    Notes: This paper presents the modelling of open shells, such as those used in roof construction, by means of a single-layered, pin-jointed truss. The latter exhibits several advantages over existing framework models, such as, for example, statical determinacy and the capacity to cope with arbitrary material constants. In the present article, the truss model is developed for and applied to the numerical analysis of shells subject to the membrane hypothesis. However, the same statically determinate model forms the basis for a computational scheme for analysing shells according to the more formal, statically indeterminate bending theory; the latter application of the truss model will be presented in a subsequent paper.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1951-1952 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1952-1952 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1957-1958 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1953-1956 
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    International Journal for Numerical Methods in Engineering 20 (1984) 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1959-1964 
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    Notes: A new method for static condensation is presented. This method utilizes Choleski decomposition with some modification to obtain the effective stiffness matrix and the effective load vector. A comparison between this modified decomposition method and the usual matrix decomposition method shows that the former is more efficient than the latter.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 1965-1990 
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    Notes: An approach for the fully automatic generation of three-dimensional finite element meshes is presented. The method is specifically designed for use with solid modelling systems which provide a complete and unique definition of the geometry of a part. The method follows from the basic concepts of the octree encoding technique with specific modifications made to produce valid, user controllable finite element meshes. Example problems are included to demonstrate the technique.
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 2065-2075 
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    Notes: A method which combines the finite element technique and the singular-integral equation method is presented. The association of the two methods is obtained with the help of Schwarz's alternating method (SAM). The method was applied with satisfactory results to the solution of a series of problems of a circular arc crack lying inside a finite thin plate for various lengths of the circular arc and for various dimensions of the rectangular cracked sheet.
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    International Journal for Numerical Methods in Engineering 20 (1984) 
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    International Journal for Numerical Methods in Engineering 20 (1984), S. 2121-2141 
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    Keywords: Engineering ; Engineering General
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    Notes: A 48 degrees-of-freedom (d.o.f.) quadrilateral thin elastic shell finite element using variable-order polynomial functions, B-spline functions and rational B-spline functions to model the shell surface is developed. This development may allow the stiffness formulation of the shell element to be linked to the geometry data bases created by computer aided design systems. The displacement functions are that of bicubic Hermitian polynomials. The displacement functions and d.o.f. are expressed and investigated in both the curvilinear and Cartesian forms. The cuivilinear form is simpler and can provide the proper solution for a certain class of shell problems. For certain highly curved shells such as bellows, however, the curvilinear form fails to properly model some rigid body modes even with either the explicit inclusion of rigid body terms or the high order displacement functions. It is suggested in this study that such difficulty can be circumvented and the rigid body modes can be properly included if a Cartesian form is used for displacement functions. The strain-displacement equations are expressed in curvilinear co-ordinates. Thus, the Cartesian displacement functions require a transformation to curvilinear displacement at each numerical integration point. Examples include a pinched cylinder, a translational shell under central load, a uniformly loaded hypar shell, a pressurized ovel shell, a semi-toroidal bellows and a U-shaped bellows. For the first four examples, geometric modellings consist of polynomials of second-order (subparametric), third-order (isoparametric), and fourth and fifth-order (both superparametric) as well as B-spline functions of fourth- and fifth-order. The geometries of the pinched cylinder, the semi-toroidal bellows, and the U-shaped bellows were modelled exactly using rational B-spline functions. All the results obtained are in good agreement with alternative existing solutions.
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