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General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids

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Abstract

By means of the combined invariance restrictions due to material frame-indifference and material symmetry, the present paper provides general reduced forms for non-polynomial elastic constitutive equations of all 32 classes of crystals and transversely isotropic solids.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing, China

    H. Xiao

  2. Institute of Mathematics, Peking University, 100871, Beijing, China

    H. Xiao

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  1. H. Xiao
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Project supported by National Natural Science Foundation and National Postdoctoral Science Foundation of China.

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Xiao, H. General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids. J Elasticity 39, 47–73 (1995). https://doi.org/10.1007/BF00042441

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  • DOI: https://doi.org/10.1007/BF00042441

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