A covariant constitutive description of anisotropic non-linear elasticity
A covariant constitutive description of anisotropic non-linear elasticity
复制标题
各向异性非线性弹性的协变本构描述
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
P. Papadopoulos
中科院分区：
文献类型：
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作者：
Jia Lu;P. Papadopoulos
抽象的。本文讨论了协方差在光滑流形中嵌入各向异性非线性弹性固体的本构描述中的作用。材料对称群和相关的结构张量的协变性质进行了讨论，并建立了一个等价的应变能函数的协方差包括结构张量和各自的各向异性响应之间。此外，各向异性应变能函数和应力响应的替代表示的协方差的必要条件。
Abstract. This article addresses the role of covariance in the constitutive description of anisotropic non-linear elastic solids embedded in smooth manifolds. The covariant nature of material symmetry groups and associated structural tensors is discussed and an equivalence is established between covariance of strain energy functions inclusive of structural tensors and the respective anisotropic response. Also, necessary conditions for covariance of anisotropic strain energy functions and alternative representations of the stress response are derived.