Some explicit expressions of extended Stroh formalism for two-dimensional piezoelectric anisotropic elasticity

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Hwu, Chyanbin

关键词: Stroh formalism;    piezoelectric materials;    anisotropic elasticity;    explicit expressions;    fundamental matrix;    Barnett-Lothe tensors;    material eigenvector matrix;   

DOI  :  10.1016/j.ijsolstr.2008.03.025

来源: Elsevier

【 摘 要 】

Since the extended Stroh formalism for two-dimensional piezoelectric anisotropic elasticity preserves essential features of Stroh formalism for pure elastic materials, it becomes important to get the corresponding explicit expressions of some important matrices frequently appeared in Stroh formalism. In this paper, explicit expressions are obtained for the fundamental matrix N, material eigenvector matrices A and B, and Barnett-Lothe tensors L, S and H. Although the explicit expressions are presented under the generalized plane strain and short circuit condition, by suitable replacement of the material constants they are still valid for the other two-dimensional states. To provide a clear picture of these expressions, two typical examples are presented, which are piezoelectric ceramics with two different poling axes. (c) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free