The Representation Theorem for Linear, Isotropic Tensor Functions in Even Dimensions

被引：0

作者：

Kathleen A. Pericak-Spector

Jeyabal Sivaloganathan

Scott J. Spector

机构：

[1] Southern Illinois University,Department of Mathematics

来源：

Journal of Elasticity | 1999年 / 57卷

关键词：

linear elasticity; isotropic tensors;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this note we give a proof of the representation theorem for linear, isotropic, tensor functions, which only assumes invariance under proper orthogonal tensors.

引用

页码：157 / 164

页数：7

共 50 条

[31] On the derivatives of a subclass of isotropic tensor functions of a nonsymmetric tensor
Wang, Zhi-Qiao
Dui, Guan-Suo
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (16) : 5369 - 5379
[32] A NEW REPRESENTATION THEOREM FOR ISOTROPIC FUNCTIONS - AN ANSWER TO SMITH,CF,PROFESSOR CRITICISM OF MY PAPERS ON REPRESENTATIONS FOR ISOTROPIC FUNCTIONS .1. SCALAR-VALUED ISOTROPIC FUNCTIONS
WANG, CC
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1970, 36 (03) : 166 - &
[33] On isotropic extension of anisotropic tensor functions
Z Angew Math Mech ZAMM, 4 (205):
[34] On isotropic extension of anisotropic tensor functions
Xiao, H
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 (04): : 205 - 214
[35] ON QUASI-ISOTROPIC TENSOR FUNCTIONS
RYCHLEWSKI, J
ARCHIVES OF MECHANICS, 1984, 36 (02): : 195 - 205
[36] REPRESENTATIONS OF CERTAIN ISOTROPIC TENSOR FUNCTIONS
NOLL, W
ARCHIV DER MATHEMATIK, 1970, 21 (01) : 87 - &
[37] AN ALTERNATIVE PROOF OF THE REPRESENTATION THEOREM FOR ISOTROPIC, LINEAR ASYMMETRIC STRESS-STRAIN RELATIONS
ZHONGHENG, G
QUARTERLY OF APPLIED MATHEMATICS, 1983, 41 (01) : 119 - 123
[38] A NAIVE PROOF OF THE REPRESENTATION THEOREM FOR ISOTROPIC, LINEAR ASYMMETRIC STRESS-STRAIN RELATIONS
DEBOOR, C
JOURNAL OF ELASTICITY, 1985, 15 (02) : 225 - 227
[39] On a representation of the linear strain tensor
Borodachev, N.M.
Strength of Materials, 1999, 31 (03): : 286 - 291
[40] On a representation of the linear strain tensor
Borodachev N.M.
Strength of Materials, 1999, 31 (3) : 286 - 291

← 1 2 3 4 5 →