Analysis of generalized dynamic intensity factors of cracked magnetoelectroelastic solids by X-FEM

An investigation of the generalized dynamic intensity factors (GDIFs) of cracked homogeneous and linear magnetoelectroelastic (MEE) solids using the extended finite element method (X-FEM) is presented. Stationary straight and curved cracks in two-dimensional (2D) MEE solids with impermeable electromagnetic crack-face boundary conditions under coupled electro-magneto-mechanical impact loads are investigated. The effects of various aspects including mesh sensitivity; combined dynamic impact loads; time-step size; material polarization directions and interaction cracks on the GDIFs are numerically studied. A dynamic X-FEM computer code, integrated with Newmark time integration scheme and the level set method to accurately capture the crack geometry, is developed. The eight-fold enrichment functions particularly suitable for cracks in MEE materials are adopted to appropriately describe the singular fields at the crack-tips. To assess the dynamic stress, electric displacement and magnetic induction intensity factors accurately and efficiently, domain-form of the integration integral taking the inertial effect into account in conjunction with the asymptotic near crack-tip fields in MEE materials is presented. Several numerical examples are shown to confirm the accuracy of the proposed approach, and the numerical results are thus investigated, compared and discussed in detail.