Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion

被引：6

作者：

Xu, Xinsheng ^{[1
]}

Tong, Zhenzhen ^{[1
]}

Rong, Dalun ^{[1
]}

Cheng, Xianhe ^{[2
]}

Xu, Chenghui ^{[1
]}

Zhou, Zhenhuan ^{[1
]}

机构：

[1] Dalian Univ Technol, Int Ctr Computat Mech, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Liaoning Provin, Peoples R China

[2] China Aerosp Sci & Ind Corp, Inst 41, Hohhot 010010, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2017年 / 38卷 / 08期

基金：

中国国家自然科学基金;

关键词：

symplectic approach; magnetoelectroelastic bimaterial; interface crack; imperfect interface; generalized intensity factor; RECTANGULAR THIN PLATES; ELECTRO-ELASTIC MATERIALS; FREE-VIBRATION SOLUTIONS; ANTIPLANE SHEAR CRACK; CLOSED-FORM SOLUTION; WEAK INTERFACES; CYLINDRICAL-SHELLS; DISCONTINUOUS INTERFACE; HAMILTONIAN SYSTEM; BENDING SOLUTIONS;

D O I：

10.1007/s10483-017-2222-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1043 / 1058

页数：16

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