On periodic indentation of a rigid solid occupying a wavy surface moving on multiferroic materials

• A dynamic, wavy contact model is established.
• Anisotropy of multiferroic materials is considered.
• Three bulk wave velocities for anisotropic multiferroic materials are presented.
• Eigenvalue distributions are detailed.
• The effect of the velocity on the contact behaviors is revealed.

The present article is concerned with a 2D dynamic contact problem of a rigid solid occupying a wavy surface moving on anisotropic multiferroic materials. Three bulk wave velocities for anisotropic multiferroic materials are obtained. Five harmonic functions are suggested to derive the general solutions of anisotropic multiferroic governing equations based on the generalized Almansi’s theorem. The contact length and various stresses, electric displacements, and magnetic inductions can be given in the whole half-plane analytically. Figures are plotted to gain an insight of how the velocity and the elastic coefficient influence the contact performance of anisotropic multiferroic materials. Numerical results show that the contact length can be enlarged by escalating the velocity of the rigid solid.