电磁弹性固体三维问题的广义变分原理  

Generalized variational principles of three-dimensional problems in magnetoelectroelastic solids

作　　者：姚伟岸[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116023

出　　处：《计算力学学报》2003年第4期487-489,共3页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金 (1 0 1 72 0 2 1 )资助项目

摘　　要：提出了以电磁弹性固体所有变量应力、应变、位移、电位移、电场强度、电势、磁感应强度、磁场强度和磁势为自变量的电磁弹性固体三维问题最一般形式的广义变分原理。它们涵盖了电磁弹性固体问题所有的基本方程和边界条件。在此基础上还可以进一步给出部分变量为自变量的其它形式广义变分原理。The generalized variational principles for three-dimensional problems in the magneto-electroelastic solids are proposed, in which the independent variables are all variables of the magneto-electroelastic solid, such as stresses, strains, displacements, electrical displacements, electrical field intensities, electrical potential, magnetic inductions, magnetic field intensities and magnetic potential. They cover all fundamental equations and boundary conditions in the magneto-electroelastic solids. Furthermore, the other generalized variational principles can be developed on basis of the variational principles.

关 键 词：电磁弹性固体 三维问题 广义变分原理 基本方程 边界条件 

分 类 号：O343.2[理学—固体力学] O176[理学—力学]