Representation Theorem for Linear, lsotropic Tensor Functions of a Skew Argument

Guo Zhong-heng

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Guo Zhong-heng. Representation Theorem for Linear, lsotropic Tensor Functions of a Skew Argument[J]. Applied Mathematics and Mechanics, 1983, 4(3): 297-301.

Citation:

Guo Zhong-heng. Representation Theorem for Linear, lsotropic Tensor Functions of a Skew Argument[J]. Applied Mathematics and Mechanics, 1983, 4(3): 297-301.

Citation:

Guo Zhong-heng. Representation Theorem for Linear, lsotropic Tensor Functions of a Skew Argument[J]. Applied Mathematics and Mechanics, 1983, 4(3): 297-301.

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Representation Theorem for Linear, lsotropic Tensor Functions of a Skew Argument

Guo Zhong-heng

Department of Mathematics, Peking University, Beijing

Received Date: 1982-11-18
Publish Date: 1983-06-15

Abstract

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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References(4)

References

[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．