期刊
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
卷 8, 期 1, 页码 435-456出版社
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/cpaa.2009.8.435
关键词
Nonlinear elasticity; constitutive laws; symmetry groups; anisotropy; transverse isotropy; orthotropy; fibers
This manuscript aims at characterizing energy densities and constitutive laws of transversely isotropic materials, orthotropic elastic materials and materials with non orthogonal families of fibers. It makes explicit references to results that are scattered over the literature and, although said to be well-known, are not always easy to locate. Direct proofs that are thought to be new and simplified expressions of constitutive laws for materials with two preferred directions are given.
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