Fracture analysis of cracks in magneto-electro-elastic solids by the MLPG

Abstract

A meshless method based on the local Petrov-Galerkin approach is proposed for crack analysis in two-dimensional (2-D) and three-dimensional (3-D) axisymmetric magneto-electric-elastic solids with continuously varying material properties. Axial symmetry of geometry and boundary conditions reduces the original 3-D boundary value problem into a 2-D problem in axial cross section. Stationary and transient dynamic problems are considered in this paper. The local weak formulation is employed on circular subdomains where surrounding nodes randomly spread over the analyzed domain. The test functions are taken as unit step functions in derivation of the local integral equations (LIEs). The moving least-squares (MLS) method is adopted for the approximation of the physical quantities in the LIEs. The accuracy of the present method for computing the stress intensity factors (SIF), electrical displacement intensity factors (EDIF) and magnetic induction intensity factors (MIIF) are discussed by comparison with numerical solutions for homogeneous materials.

Numerical method of crack analysis in 2D finite magnetoelectroelastic media

“…The effects of the four ideal crack-face electromagnetic boundary conditions on the field intensity factors at notch tips and the electromagnetic field inside the notch were investigated by Wang and Mai [9]. The different electromagnetic boundary conditions on crack-faces in magnetoelectroelastic materials were discussed in detail in [10][11][12][13]. The boundary conditions significantly influence the solutions.…”

Micromechanics determination of effective properties of voided magnetoelectroelastic materials

“…Therefore, the number of literature sources on the problem is very limited. The finite element method (FEM), boundary element method (BEM) and meshless methods have been successfully applied to boundary value problems in magnetoelectroelastic solids [15][16][17][18][19][20][21]. In the present paper, the scaled boundary finite element method (SBFEM) is developed for 2D boundary value problem in a porous magnetoelectroelastic solid under stationary boundary conditions.…”

2D fracture analysis of magnetoelectroelastic composites by the SBFEM

“…For some problems such as V-notch and L-shape panel, those functions are rarely reported. Other techniques, such as the XFEM and the meshless method have also been applied to solve the cracks inside magnetoelectroelastic materials [18,19].…”