Non-uniformly loaded row of moving shear cracks in magnetoelectroelastic media

Abstract

Derivations and discussions are obtained in detail of the closed-form representations of the components of the deformation fields at a general point created by a moving row of smart magnetoelectroelastic shear cracks that are subjected to non-uniform mechanical, electric, and magnetic loadings. The creative analysis exploits a generalization of the basic dislocation layer method. Near a crack tip, their angular variations and the corresponding stress, electric displacement and magnetic induction intensity factors are deduced. Graphical displays of some illustrative numerical data are presented. As a particular case, the results for an analogous stationary row of non-constantly loaded magnetoelectroelastic cracks are derived. The correctness and validity of the results of this novel analysis are examined by the verification of their agreement with those previously presented for various limiting particular cases.