Representations of Kronecker powers of orthogonal tensors with applications to material symmetry

被引：5

作者：

Lu, J ^{[1
]}

Papadopoulos, P ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 1998年 / 35卷 / 30期

关键词：

Orthogonal transformations - Structural tensors;

D O I：

10.1016/S0020-7683(97)00256-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Two explicit representations are obtained for the Kronecker powers of orthogonal second-order tensors. The derivations rely on the mathematical properties of Kronecker products and on classical parametrizations of orthogonal tensors. These representations are subsequently employed in the systematic construction of structural tensors and in the analysis of corotational rates of tensor functions. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：3935 / 3944

页数：10

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