Convection Effects for Rapidly Moving Mechanical Sources on a Half-Space Governed by Fully Coupled Thermoelasticity

Abstract

The two-dimensional steady-state analysis of rapidly moving mechanical sources over the insulated surface of a thermoelastic half-space is extended by allowing surface heat convection. An exact transform solution based on the fully coupled (dynamic) equations of thermoelasticity is obtained, and robust asymptotic expressions for the surface displacements and temperature change are extracted. Convection is manifest in these expressions in terms of a positive dimensionless parameter of small magnitude, and results in a surface response that is more complicated than that for the insulated surface. In particular, surface temperature changes decay less with distance from the source, and convection effects can dominate all surface responses at low and near-critical speeds.