Coupled S–P wave propagation in nonlinear regularized micromorphic media

Numerical simulations demonstrate mesh dependency problems which can change the response of the model, especially when localization phenomena emerge. The use of a regularization method, called first gradient of dilation, is evaluated for the analysis of shear bands under dynamic conditions. It aims to eliminate the mesh dependency of the results by taking into account an enriched kinematic approach. While under static loading this method provides satisfactory results, under dynamic conditions it introduces a noise. An analytical solution of coupled S–P wave propagation in nonlinear micromorphic media and numerical simulations describe the irregular dynamic response of regularized media.