Thermal contact of magneto-electro-elastic materials subjected to a conducting flat punch

Abstract

This article is concerned with the thermal contact between a magneto-electro-elastic material half-plane and a rigid flat punch. The punch is assumed to be a perfect thermal insulator and electro-magnetic conductor. The sliding speed of the punch over the surface of the magneto-electro-elastic material half-plane is a small constant far slower than the shear wave speed of the magneto-electro-elastic material half-plane, which generates the heat flux with its value proportional to the contact pressure, friction coefficient and sliding speed. The contact problem is reduced to Cauchy-type singular integral equations of the first and the second kinds, which are then solved numerically to obtain the contact stress, electric displacement, magnetic induction and surface temperature. Numerical results show that the friction coefficient and sliding speed can affect the magnitude of the surface temperature and magneto-electro-elastic fields.