The influences of non-linear electrical, magnetic and mechanical boundary conditions on the dynamic intensity factors of magnetoelectroelastic solids

In this paper advanced transient dynamic crack analysis in two-dimensional (2D), homogeneous and linear magnetoelectroelastic solids by taking non-linear electrical, magnetic and mechanical crack-face boundary conditions into account is presented. Stationary cracks in infinite and finite magnetoelectroelastic solids under different impact loadings are investigated. Thus, a time-domain boundary element method (TDBEM) is developed for this purpose. The TDBEM uses the Galerkin-method for the spatial discretization, while the collocation method is implemented for the temporal discretization. An explicit time-stepping scheme is used to compute the unknown boundary data numerically. Iterative solution algorithms are developed to compute the non-linear semi-permeable electrical and magnetic crack-face boundary conditions. An additional iteration scheme is implemented for crack-face contact analysis at time-steps when a physically unacceptable crack-face intersection occurs. Numerical examples are presented and discussed to investigate the influences of the electrical, magnetic and mechanical crack-face boundary conditions on the dynamic field intensity factors.

► Advanced transient dynamic crack analysis in linear magnetoelectroelastic solids is presented.
► A time-domain boundary element method (TDBEM) is developed for this purpose.
► Non-linear semi-permeable electrical and magnetic crack-face boundary conditions are applied.
► A contact analysis is implemented to avoid physically unacceptable crack-face intersection.
► An explicit time-stepping scheme is obtained to compute the discrete boundary data.
► Numerical examples show the effects of the non-linear crack-face conditions.