Applied Mathematics and Mechanics (English Edition)
题名：Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion
作者：Xinsheng XU1, Zhenzhen TONG1, Dalun RONG1, Xianhe CHENG2, Chenghui XU1, Zhenhuan ZHOU1
单位：1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Center for Computational Mechanics, Dalian University of Technology, Dalian 116024, Liaoning Province, China;
2. The Forty-First Institute of China Aerospace Science and Industry Corporation, Hohhot 010010, China
摘要：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.
关键词：symplectic approach magnetoelectroelastic bimaterial interface crack imperfect interface generalized intensity factor
Cite this article as:
Xinsheng XU, Zhenzhen TONG, Dalun RONG et al. Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion. Appl. Math. Mech. -Engl. Ed., 38(8), 1043-1058(2017)
全文链接：
http://www.amm.shu.edu.cn/EN/abstract/abstract15119.shtml