Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion

doi:10.1007/s10483-017-2222-9

Abstract

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.

Key words: symplectic approach, Radon transform, Abel integral equation, theorem mean value, Hertz’s solution, imperfect interface, interface crack, magnetoelectroelastic bimaterial, generalized intensity factor

2010 MSC Number:

Xinsheng XU, Zhenzhen TONG, Dalun RONG, Xianhe CHENG, Chenghui XU, Zhenhuan ZHOU. Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion. Applied Mathematics and Mechanics (English Edition), 2017, 38(8): 1043-1058.

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References

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