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  • 1
    Electronic Resource
    Electronic Resource
    Pressure and flow pulses in viscoelastic arterial models with reflection sites (1984)
    Springer
    Acta mechanica 53 (1984), S. 57-72 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Herein we develop a linear one-dimensional model for impulse propagation in fluidfilled tubes. Area changes are related to pressure changes by means of convolution integrals of the creep or relaxation function for the tube wall material. The model is employed to study the propagation of pressure and flow pulses along initially uniform tubes and their subsequent interaction with various junctions characteristic of the arterial system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176250
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  • 2
    Electronic Resource
    Electronic Resource
    Linear and non-linear pulse propagation in fluid-filled compliant tubes (1981)
    Springer
    Meccanica 16 (1981), S. 3-9 
    Details
    ISSN: 1572-9648
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Summary Here we study impact-initiated disturbances in fluid-filled elastic tubes. The undeformed tube diameter, wall thickness, and elastic modulus of the tube material are assumed to be functions of the distance along the centre line of the tube. The linearized version of the governing equations are solved by the Laplace transform, which is inverted by means of an approximate method. The original non-linear system of governing equations is solved numerically by the method of characteristics. Relationships between the axial fluid velocity and axial coordinate as well as between velocity and time are displayed for fixed values of time and axial coordinate respectively for the linear and nonlinear theory for ease of comparison.
    Notes: Sommario Si studiano le perturbazioni prodotte da impatto in tubi elastici riempiti di fluidi. Si assume che il diametro del tubo indeformato, lo spessore della parete e il modulo elastico del materiale del tubo siano funzioni della distanza misurata lungo la linea centrale del tubo. La versione linearizzata delle equazioni che governano il fenomeno è risolta con la trasformata di Laplace, invertita con un metodo approssimato. Il sistema originale non lineare delle equazioni è risolto numericamente con il metodo delle caratteristiche. Vengono rappresentate, per valori fissati del tempo e della coordinata assiale, le relazioni tra la velocità assiale del fluido e la coordinata assiale oltre alle relazioni fra velocità e tempo, sia per la teoria lineare sia per quella non lineare.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128301
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  • 3
    Electronic Resource
    Electronic Resource
    Transient solutions for longitudinally impacted inhomogeneous conical shells (1976)
    Springer
    Journal of elasticity 6 (1976), S. 209-219 
    Details
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Here we study transient elastic wave propagation in inhomogeneous conical shells. The uniaxial theory is employed and two separate techniques are used for extracting information about the stress field for impact problems. Firstly the formal Karal-Keller method is used enabling us to directly determine asymptotic wavefront expansions for the stress field. A transform technique, based on Eason's [1], is then used to obtain conditions on the physical parameters of the medium which give solutions to the governing equation in terms of Bessel functions and some particular problems are discussed. Previously unknown simple closed-form solutions are obtained. Our results have application to the propagation of waves in filamentary cones of constant wall thickness or in homogeneous cones having an axial temperature gradient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00041787
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  • 4
    Electronic Resource
    Electronic Resource
    Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction (1986)
    Springer
    Journal of engineering mathematics 20 (1986), S. 145-161 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary Bergman-type series solutions involving iterated complementary error integrals are constructed for nonlinear boundary-value problems associated with heat conduction in a region bounded internally by a cylindrical or spherical surface. In particular, a small-time solution is developed when the nonlinear boundary condition is of the Stefan-Boltzmann type. This solution is extended via Padé approximants.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042773
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  • 5
    Electronic Resource
    Electronic Resource
    Waves in fluid filled tubes: Theory and experiment (1984)
    Springer
    Acta mechanica 54 (1984), S. 107-119 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary A viscoelastic shell theory model for transient pressure perturbations in fluid filled tubes is presented and tested against experiments involving water filled latex tubes. The agreement between theory and experiment is good.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01190600
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  • 6
    Electronic Resource
    Electronic Resource
    A note on the isochromatic lines for a nonuniformly loaded circular cavity (1987)
    Springer
    Acta mechanica 66 (1987), S. 279-287 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Isochromatic curves are calculated for the stress field round a nonuniformly loaded circular cavity in an elastic plate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01184301
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  • 7
    Electronic Resource
    Electronic Resource
    Isochromatic curves for a dynamically loaded elastic plate (1990)
    Springer
    Acta mechanica 84 (1990), S. 127-137 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Isochromatic curve patterns are calculated for the dynamic stress field in a semi-infinite thin elastic plate whose edge is subject to a point load.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176092
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  • 8
    Electronic Resource
    Electronic Resource
    Reflection in liquid filled tube systems: Modelling the effects of mismatched tube segments (1987)
    Springer
    Acta mechanica 70 (1987), S. 111-126 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Here we employ an experimentally tested theory of wave propagation in liquid filled distensible tubes to study the interaction of periodic pressure waves with a finite segment of tubing whose characteristic impedance differs from those of the adjoining tubes. Such a tube system occurs when surgical bypass techniques are employed in the arterial system. In this case the source of the pressure pulse (the heart) is periodic and reflections from the insert could reinforce subsequent pulses arriving from the heart causing abnormally high pressures in the adjoining artery. This paper sheds some light on this phenomenon.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01174650
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  • 9
    Electronic Resource
    Electronic Resource
    Wave propagation from a cylindrical cavity (1977)
    Springer
    Acta mechanica 27 (1977), S. 103-120 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Die durch Stoß hervorgerufenen Störungen ausgehend von einem zylindrischen Hohlraum in orthotropen, zylindrisch anisotropen, inhomogenen elastischen Materialien werden untersucht. Mittels einer Transformationsmethode werden Bedingungen für die verschiedenen Parameter des Mediums bestimmt, die, wenn sie erfüllt sind, die Lösungen für das Stoßproblem in Termen modifizierter Bessel-Funktionen auszudrücken ermöglichen. Damit erhält man asymptotische Wellenfrontentwicklungen und exakte, geschlossene Lösungen. Eine formale Methode zur direkten Bestimmung solcher Entwicklungen wird zur Lösung einer Vielzahl von Problemen verwendet. Ein Vergleich der Ergebnisse der zwei Methoden ist angegeben und im Anhang ist ein genauer Beweis des Hauptterms in der formalen Entwicklung enthalten.
    Notes: Summary Here we study impact-initiated disturbances propagating from a cylindrical cavity in orthotropic cylindrically anisotropic inhomogeneous elastic materials. Employing a transform technique we ascertain conditions on the various parameters of the medium which, when satisfied, enable us to express the solutions for impact problems in terms of modified Bessel functions. From these we generate asymptotic wavefront expansions and exact closed-form solutions. A formal technique for directly generating such expansions is also employed to solve a variety of problems. Comparisons of results obtained by the two methods are included and an appendix contains a rigorous verification of the leading term in the formal expansion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01180079
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  • 10
    Electronic Resource
    Electronic Resource
    Cylindrical impact waves in inhomogeneous viscoelastic media (1978)
    Springer
    Acta mechanica 29 (1978), S. 93-117 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Eine detailierte Studie über zylindrische Scherwellen in inhomogenen Maxwellschen, viskoelastischen Materialien, deren Parameter nur von einer Radialkoordinate abhängen, wird präsentiert. Eine formale asymptotische Methode zur Untersuchung der verschiedenen Stoßprobleme wird angewendet. Strenge Beweise werden angegeben, um zu zeigen, daß die formale Methode Ergebnisse liefert, die asymptotisch zur exakten Lösung sind, wenn Ränder oder Grenzflächen vorhanden sind. Es wird gezeigt, daß einfaches Abbrechen der Karal-Keller Folgen, mit der Bäcklund Transformationsmethode assoziiert ist.
    Notes: Summary A detailed study is presented of cylindrical shear waves in inhomogeneous Maxwellian viscoelastic materials whose parameters depend continuously on a single radial coordinate. A formal asymptotic technique is employed to investigate various impact problems. Rigorous arguments are then used to show that the formal technique gives results that are asymptotic to the exact solution even when boundaries or interfaces are present. Simple termination in the Karal-Keller series is shown to be associated with the Baecklund transformation method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176629
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