CONEWISE LINEAR ELASTIC-MATERIALS

被引：149

作者：

CURNIER, A

HE, QC

ZYSSET, P

机构：

[1] Laboratoire de Mécanique Appliquée, Département de Génie Mécanique, Ecole Polytechnique Fédérale de Lausanne, Lausanne

来源：

JOURNAL OF ELASTICITY | 1995年 / 37卷 / 01期

关键词：

D O I：

10.1007/BF00043417

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Conewise linear elastic (CLE) materials are proposed as the proper generalization to two and three dimensions of one-dimensional bimodular models. The basic elements of classical smooth elasticity are extended to nonsmooth (or piecewise smooth) elasticity. Firstly, a necessary and sufficient condition for a stress-strain law to be continuous across the interface of the tension and compression subdomains is established. Secondly, a sufficient condition for the strain energy function to be strictly convex is derived. Thirdly, the representations of the energy function, stress-strain law and elasticity tenser are obtained for orthotropic, transverse isotropic and isotropic CLE materials. Finally, the previous results are specialized to a piecewise linear stress-strain law and it is found out that the pieces must be polyhedral convex cones, thus the CLE name.

引用

页码：1 / 38

页数：38

共 22 条

[1] Alart P.
[2] Ambartsumyan S.A., The axisymmetric problem of circular cylindrical shell made of materials with different stiffnesses in tension and compression, Izv. Akad. Nauk. SSSR Mekh., 4, pp. 77-85, (1965)
[3] Ambartsumyan S.A., Basic equations and relations of the different modulus theory of elasticity of an anisotropic body, Mechanics of Solids, 4, pp. 48-56, (1969)
[4] Ambartsumyan S.A., Khachatryan A.A., The basic equations of the theory of elasticity for materials with different stiffnesses in tension and compression, Mechanics of Solids, 1, pp. 29-34, (1966)
[5] Bert C.W., Model for fibrous composites with different properties in tension and compression, J. of Eng. Mat. & Tech., 99, pp. 344-349, (1977)
[6] Boehler J.P., Lois de comportement des milieux continus, J. de Mécanique, 17, pp. 153-190, (1978)
[7] Costa-Mattos H., Fremond M., Mamiya E.N., A simple model of the mechanical behaviour of ceramic-like materials, Int. J. of Solids and Structures, 29, pp. 3185-3200, (1992)
[8] Del Piero G.P., Some properties of the set of fourth-order tensors, with application to elasticity, J. of Elasticity, 9, pp. 245-261, (1979)
[9] Green A.E., Mkrtichian J.Z., Elastic solids with different moduli in tension and compression, J. of Elasticity, 7, pp. 369-386, (1977)
[10] Horii H., Nemat-Nasser S., Overall moduli of Solids with microcracks: load induced anisotropy, J. of the Mechanics and Physics of Solids, 32, pp. 155-171, (1983)

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