Mode III edge-crack in magneto-electro-elastic media by symplectic expansion

作者: Z.H. Zhou , X.S. Xu , A.Y.T. Leung

DOI: 10.1016/J.ENGFRACMECH.2010.07.016

关键词:

摘要: An analytical method using symplectic expansion is introduced to find the solutions of edge-cracked circular magneto-electro-elastic media handle general boundary conditions. A system established so that these unknowns are expanded in terms eigenfunctions. The coefficients eigenfunctions series determined from lateral conditions along crack faces and outer geometric domain. evaluation intensity stress, electric displacement magnetic induction near processed it will be useful for assessing structural integrity. Numerical examples including complex mixed given.

参考文章(42)
A.Y.T. Leung, K.L. Tsang, Mode III two-dimensional crack problem by two-level finite element method International Journal of Fracture. ,vol. 102, pp. 245- 258 ,(2000) , 10.1023/A:1007636810404
Peng-Fei Hou, Tao Yi, Andrew Y.T. Leung, Green's functions for semi-infinite transversely isotropic electro-magneto-thermo-elastic material International Journal of Applied Electromagnetics and Mechanics. ,vol. 29, pp. 83- 100 ,(2009) , 10.3233/JAE-2009-1003
Peng-Fei Hou, Wei Luo, Andrew Y.T. Leung, A point heat source on the apex of a transversely isotropic magneto-electro-thermo-elastic cone International Journal of Applied Electromagnetics and Mechanics. ,vol. 27, pp. 25- 41 ,(2008) , 10.3233/JAE-2008-936
Wei-an Yao, Xiao-chuan Li, SYMPLECTIC DUALITY SYSTEM ON PLANE MAGNETOELECTROELASTIC SOLIDS Applied Mathematics and Mechanics-english Edition. ,vol. 27, pp. 195- 205 ,(2006) , 10.1007/S10483-006-0207-Z
F. García-Sánchez, R. Rojas-Díaz, A. Sáez, Ch. Zhang, Fracture of magnetoelectroelastic composite materials using boundary element method (BEM) Theoretical and Applied Fracture Mechanics. ,vol. 47, pp. 192- 204 ,(2007) , 10.1016/J.TAFMEC.2007.01.008
S. C. Wong, A. Y. T. Leung, Determination of Jordan chains by extended matrices Communications in Numerical Methods in Engineering. ,vol. 14, pp. 879- 893 ,(1998) , 10.1002/(SICI)1099-0887(199809)14:9<879::AID-CNM203>3.0.CO;2-V
Zhong Wan-xie, Plane elasticity in sectorial domain and the Hamiltonian system Applied Mathematics and Mechanics-english Edition. ,vol. 15, pp. 1113- 1123 ,(1994) , 10.1007/BF02451982
Hou Pengfei, Y.T. Leung Andrew, Ding Haojiang, The elliptical Hertzian contact of transversely isotropic magnetoelectroelastic bodies International Journal of Solids and Structures. ,vol. 40, pp. 2833- 2850 ,(2003) , 10.1016/S0020-7683(02)00670-4
Zhen-Gong Zhou, Zeng-Tao Chen, Basic solution of a Mode-I limited-permeable crack in functionally graded piezoelectric/piezomagnetic materials International Journal of Solids and Structures. ,vol. 45, pp. 2265- 2296 ,(2008) , 10.1016/J.IJSOLSTR.2007.11.016