Study of the thermoelastic interactions in an elastic half space subjected to a ramp-type heating—A state-space approach

Abstract

Of concern in this paper is a problem of thermoelastic interactions in an elastic half space ( x⩾0) at an elevated temperature field arising out of a ramp-type heating at the traction-free bounding surface ( x=0). The governing equations are taken in a unified system from which the field equations for coupled thermoelasticity as well as for generalized thermoelasticity can be easily obtained as particular cases. Due attention has been paid to the finite time of rise of temperature. The problem has been solved analytically by using a state-space approach. The derived analytical expressions have been computed for a specific situation.