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Indexed by:期刊论文

Date of Publication:2017-08-01

Journal:APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Included Journals:SCIE、EI、Scopus

Volume:38

Issue:8

Page Number:1043-1058

ISSN No.:0253-4827

Key Words:symplectic approach; magnetoelectroelastic bimaterial; interface crack; imperfect interface; generalized intensity factor

Abstract:A Hamiltonian-based analytical method is used to study the mode III interface cracks in magnetoelectroelastic bimaterials with an imperfect interface. By introducing an unknown vector, the governing equations are reformulated in sets of first-order ordinary differential equations. Using separation of variables, eigensolutions in the symplectic space are obtained. An exact solution of the unknown vector is obtained and expressed in terms of symplectic eigensolutions. Singularities of mechanical, electric, and magnetic fields are evaluated with the generalized intensity factors. Comparisons are made to verify accuracy and stability of the proposed method. Numerical examples including mixed boundary conditions are given.