On the influence of material properties on the wave propagation in Mindlin-type microstructured solids

• Wave propagation in Mindlin-type microstructured solids is simulated numerically.
• The model equation includes nonlinearities in the macro- and microscale.
• The influence of material parameters on the wave propagation is demonstrated.
• Solitonic behaviour of emerged wave structures is demonstrated.
• The results could be applied in the nondestructive testing of material properties.

A mathematical model describing 1D wave propagation in Mindlin-type microstructured solids with nonlinearities in the macro- and microscale is used for studying propagation of solitary waves in such media. The results could be used for the stress analysis as well as for the nondestructive testing of material properties. The model equations are solved numerically under the localized initial conditions and periodic boundary conditions by the pseudospectral method. It is demonstrated how the values of the model parameters influence the wave propagation, the evolution and the interaction of waves under the framework of considered models. For this reason the solutions of the model equations are compared under different parameter combinations against one fixed combination of material parameters which is called ‘the reference case’.