Open Access

ARTICLE

An Interaction Integral Method for Computing Fracture Parameters in Functionally Graded Magnetoelectroelastic Composites

J. Sladek¹, V. Sladek¹, P. Stanak¹, Ch. Zhang², M. Wünsche²

1 Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia
2 Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany

Computers, Materials & Continua 2011, 23(1), 35-68. https://doi.org/10.3970/cmc.2011.023.035

Abstract

A contour integral method is developed for the computation of stress intensity, electric and magnetic intensity factors for cracks in continuously nonhomogeneous magnetoelectroelastic solids under a transient dynamic load. It is shown that the asymptotic fields in the crack-tip vicinity in a continuously nonhomogeneos medium are the same as in a homogeneous one. A meshless method based on the local Petrov-Galerkin approach is applied for the computation of the physical fields occurring in the contour integral expressions of intensity factors. A unit step function is used as the test functions in the local weak-form. This leads to local integral equations (LIEs) involving only contour-integrals on the surfaces of subdomains. The moving least-squares (MLS) method is adopted for approximating 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.

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Keywords

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