反对称自变量线性各向同性张量函数表示定理
Representation Theorem for Linear, lsotropic Tensor Functions of a Skew Argument
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摘要: 本文给出了反对称自变量线性各向同性张量函数表示定理的两个证明:一个证明是新的;另一个基本上沿用[1]的思路,但较简短,且纠正了[1]的一个错误.Abstract: The present paper offers two proofs of the representation theorem for linear, isotropic tensor functions of a skew argument. The first proof is new. The second one is basically along the lines of reasoning exploited in [1], but more concise, and it corrects some errors committed in[1].
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[1] 郭仲衡,非对称自变最线性各向同性张量函数的表示,应用数学和力学,2, 6(1981),611-620. [2] Truesdell,c.,and w.Noll,The Nonlinear Field Theories of Mechanics.,Handbuch der Physik,Vol.Ⅲ/3,Springer(1965). [3] 郭仲衡,《非线性弹性理论》,科学出版社,(1980). [4] Guo Zhong-heng,Representations of orthogonal tensors,SM Arch.,6,4(1981),451-466． -
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