Mathematical model of the temperature field in the half-space with partially determined boundary condition

Abstract

To improve the operational characteristics of the contacting surfaces of machine parts, plastic and casting elements of structures they are covered with thin coatings that have the physical-mechanical properties that differ from the core material. Under conditions of localized heating and different coefficients of the linear thermal expansion a cracking and exfoliation of the coating is possible. Therefore is actual a physically correct formulation of problems of thermal conductivity in the bodies with thin coating under localized heating.