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论文类型：期刊论文

发表时间：2006-02-01

发表刊物：APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

收录刊物：SCIE、EI

卷号：27

期号：2

页面范围：195-205

ISSN号：0253-4827

关键字：magnetoelectroelastic solids; plane problem; symplectic geometry space; duality system; separation of variables

摘要：By means of the generalized variable principle of magnetoelectroelastic solids, the plane magnetoelectroelastic solids problem was derived to Hamiltonian system. In symplectic geometry space, which consists of original variables, displacements, electric potential and magnetic potential, and their duality variables, lengthways stress, electric displacement and magnetic induction, the effective methods of separation of variables and symplectic eigehfunction expansion were applied to solve the problem. Then all the eigen-solutions and the eigen-solutions in Jordan form on eigenvalue zero can be given, and their specific physical significations were shown clearly. At last, the special solutions were presented with uniform loader, constant electric displacement and constant magnetic induction on two sides of the rectangle domain.