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  • 1
    Electronic Resource
    Electronic Resource
    Damage zones based on Dugdale model for materials (1994)
    Springer
    International journal of fracture 68 (1994), S. 245-259 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In this paper, an infinite sheet with a crack is studied using continuum damage mechanics technique. The formulation is based on the hypothesis of incremental complementary energy equivalence model for damage evaluation. Damage distributions in the region of a macrocrack tip are calculated for an elastic-perfectly plastic material. The size of the damage zone is also derived via the Dugdale model with damage which considers the interactions between the macrocracks and microcracks. To assess the results, comparisons are made between proposed damage model, Dugdale plastic model and finite element solutions. Good agreement is observed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00013070
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A large anisotropic damage theory based on an incremental complementary energy equivalence model (1994)
    Springer
    International journal of fracture 70 (1994), S. 19-34 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper presents a large anisotropic damage theory of continuum damage mechanics. It is developed via a new hypothesis of incremental complementary elastic energy equivalence. This hypothesis is more versatile and accurate if compared to the original hypothesis of total complementary energy equivalence. To model the large damage, we assumed that it occurs as a series of incremental small damage. An expression for the damage effect tensor M(D) for large damage is derived. It is shown that when the damage is small, that is, D i≪1, the proposed large damage theory reduces to the small damage model of Chow and Wang [1]. To demonstrate this large damage theory, it is applied to model the following cases: (a) uniaxial tension, (b) pure torsion and (c) elastic perfectly-plastic material behavior. In all three cases, the results clearly show that when the damage is small, Chow and Wang's model is recovered. However, for large damage, there are significant differences in predictions. Since this large damage theory is formulated on the basis of the incremental complementary energy, it is applicable to a wider range of problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00018133
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  • 3
    Electronic Resource
    Electronic Resource
    EXACT DYNAMIC STIFFNESS MATRIX FOR BEAMS OF ARBITRARILY VARYING CROSS SECTIONS (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 233-250 
    Details
    ISSN: 0029-5981
    Keywords: exact dynamic ; stiffness ; arbitrary beams ; natural frequencies ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, the exact dynamic stiffness matrix is derived for the transverse vibration of beams whose cross-sectional area and moment of inertia vary in accordance to any two arbitrary real-number powers. This variation represents a very large class of arbitrary varying beams and thus, fills the void currently existing in this area of research. With this approach, most beams can be modelled by just one element, and for beams having abrupt profile changes or with very complex profiles, they can be divided into separate distinct parts, with each of the part modelled by just one element, and then assembled together. The method is exact; however, the accuracy of the results depends only on the solver used to solve the exact frequency equation. To demonstrate the procedure, beams of non-linearly varying circular and elliptical cross-sections, and a combination beam consisting of a linear-tapered section, a uniform section and a non-linearly varying-section are analysed for their natural frequencies. Since there are no known solutions for these structures, comparison with finite element results was made and very good agreement was observed. © 1997 by John Wiley & Sons, Ltd.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 4
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    Damage zones based on Dugdale model for materials (1994)
    Springer
    Details
    Publication Date: 1994-01-01
    Print ISSN: 0376-9429
    Electronic ISSN: 1573-2673
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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  • 5
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    A large anisotropic damage theory based on an incremental complementary energy equivalence model (1995)
    Springer
    Details
    Publication Date: 1995-01-01
    Print ISSN: 0376-9429
    Electronic ISSN: 1573-2673
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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