Integral equation formulations in 2d inhomogeneous magnetoelectroelastic media

Integral equation formulations for 2D inhomogeneous finite/infinite anisotropic magnetoelectroelastic media are presented. The present formulations only contain the fundamental solutions from the matrix which is taken as a homogeneous anisotropic magnetoelectroelastic medium. Functionally graded linear magnetoelectroelastic inclusions can be considered in which the corresponding fundamental solutions are not needed. In numerical implementation, inclusions are discretized into a series of quadratic quadrilateral or triangular elements, and cracks are meshed into a series of quadratic discontinuous boundary elements. For finite domain, the domain boundaries are discretized into a series of quadratic boundary elements. Finally, the present integral equation method can be used to investigate the interaction between cracks and inclusions in 2D anisotropic magnetoelectroelastic media and to carry out the analysis of effective properties of magnetoelectroelastic media.