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

[21] A TENSOR PRODUCT THEOREM FOR QUANTUM LINEAR-GROUPS AT EVEN ROOTS OF UNITY
CLIFF, G
JOURNAL OF ALGEBRA, 1994, 165 (03) : 566 - 575
[22] Derivatives on the isotropic tensor functions
Guansuo Dui
Zhengdao Wang
Ming Jin
Science in China Series G, 2006, 49 : 321 - 334
[23] COMPUTATION OF ISOTROPIC TENSOR FUNCTIONS
MIEHE, C
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1993, 9 (11): : 889 - 896
[24] Derivatives on the isotropic tensor functions
Dui Guansuo
Wang Zhengdao
Jin Ming
SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY, 2006, 49 (03): : 321 - 334
[25] On general isotropic tensor functions of one tensor
de Souza Neto, EA
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 61 (06) : 880 - 895
[26] Derivatives on the isotropic tensor functions
DUI Guansuo
Science China(Physics,Mechanics & Astronomy), 2006, (03) : 321 - 334
[27] ON THE REPRESENTATION OF THE ELASTICITY TENSOR FOR ISOTROPIC MATERIALS
KNOWLES, JK
JOURNAL OF ELASTICITY, 1995, 39 (02) : 175 - 180
[28] SHORT PROOF OF REPRESENTATION THEOREM FOR ISOTROPIC, LINEAR STRESS-STRAIN RELATIONS
GURTIN, ME
JOURNAL OF ELASTICITY, 1974, 4 (03) : 243 - 245
[29] A REPRESENTATION THEOREM FOR A CONTINUOUS LINEAR TRANSFORMATION ON A SPACE OF CONTINUOUS FUNCTIONS
TUCKER, DH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (05) : 946 - &
[30] Graphical functions in even dimensions
Borinsky, Michael
Schnetz, Oliver
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2022, 16 (03) : 515 - 614

← 1 2 3 4 5 →