Thermal Stresses From a Moving Band Source of Heat on the Surface of a Semi-Infinite Solid

Abstract

Thermoelastic stresses arising from a moving band source of heat on the surface of a semi-infinite solid have been calculated using well-known temperature solutions and a finite element stress analysis. Results are presented in nondimensional form for a wide range of conditions for both quasi-steady state and transient regimes. The effect of convective cooling at the surface has also been investigated. Peak stresses, which occur at the surface, have been related to a modified source Peclet number for instances in which surface cooling is not employed. Reduction in stress levels due to convective cooling at the surface has also been determined. For all cases considered, the greatest stress levels were found to occur at the surface of the constrained direction. Using results obtained in this study, thermoelastic stresses in sliding and machining processes may be calculated in order to predict the onset of yielding which can result in residual tensile stresses and cracking.