Fracture analysis in 2D magneto–electro–elastic media by the boundary element method

Abstract

An integral formulation for 2D cracked infinite anisotropic magneto-electro-elastic media is presented. Based on the method proposed by Garcia-Sanchez et al. (Comput Struct 83: 804-820, 2005), the hypersingular kernels are analytically transformed into weakly singular and regular integrals with known analytical solution. Special quadratic discontinuous crack tip elements are employed to model the singular characteristics of the stresses, electric displacements and magnetic inductions. The extended stress intensity factors at the crack tips are calculated using the extended discontinuous displacements at crack tip elements based on one point extended displacement formulation. Some results for curved cracks in magneto-electro-elastic media are also presented.

Nonlinear fracture of 2D magnetoelectroelastic media: Analytical and numerical solutions

“…Therefore, to improve properties of these materials, it is very important to study the fracture formation and development under various load configurations. However, the problems related to fracture in this material system are rather complex both theoretically and experimentally, except for some simple cases (Chung and Ting, 1995;Liu et al, 2001;Song and Sih, 2003;Hou et al, 2003;Qin, 2004;Jiang and Pan, 2004;Zhao et al, 2006;Wang and Mai, 2007;Dong et al, 2008;Sladek et al, 2008;Zhou and Chen, 2008).…”

2D fracture analysis of magnetoelectroelastic composites by the SBFEM

“…The dual BEM formulation developed for fracture analysis [11] of piezoelectric materials was successfully extended to solve fracture problems in linear magnetoelectroelastic solids in Garcia-Sanchez et al [12] and the fracture parameters were also presented. Later, the extended stress intensity factors for 2D cracks inside an infinite magnetoelectroelastic media were presented by using BEM [13]. The dynamic fracture analysis was performed using the BEM in Rojas-Díaz et al [14] for the cracks in the magnetoelectroelastic materials and in the functionally graded magnetoelectroelastic materials [15].…”

Numerical method of crack analysis in 2D finite magnetoelectroelastic media

“…As is well known, BEM is the preferred technique among the available methods for dealing with stress concentration or stress singularity problems [14][15][16]. Dong et al [17] presented an integral formulation for 2D cracked infinite anisotropic magnetoelectroelastic media, in which the hypersingular kernels were analytically transformed into weakly singular and regular integrals with known analytical solutions and special quadratic discontinuous crack tip elements were employed to model the singular characteristics of the extended stresses. Using Dual BEM, the behavior of cracked linear magnetoelectroelastic solids was analyzed by García-Sánchez et al [18].…”