Thermoelastic contact between a functionally graded elastic cylindrical punch and a half-space involving frictional heating

Plane contact of a cylindrical punch and a half-space is considered in this article. Both the punch and the half-space are assumed to be functionally graded and thermally heat conducting. Frictional heat generation inside the contact region due to sliding of the punch over the half-space surface is taken into account. It is assumed that heat exchange between the free boundary of the half-space and the surrounding medium obeys Newton’s law, while the conditions for ideal thermal contact exists in the region in which the solids interact. Elastic parameters, thermal expansion coefficients and coefficients of thermal conductivities of the punch and the half-space are assumed to vary along the normal to the plane of contact. With the help of Fourier integral transforms, the problem is reduced to a system of three singular integral equations. The effects of non-homogeneity parameters of the graded materials on various subjects of interest are discussed and shown graphically.