REFLECTION AND DIFFRACTION OF PLANE TEMPERATURE-STEP WAVES IN ORTHOTROPIC THERMOELASTIC SOLIDS

摘要

For either Fourier model or model with one or two relaxation times, a plane temperature-step (shock) wave can travel without attenuation at constant speeds in orthotropic solids. For travel not in a principal plane, the temperature step generates for all traction components plane step-stress waves that travel with the same speed. For travel in a principal plane, some traction signals uncouple and travel as rotational (perhaps non-shock) waves. Reflection of a temperature-step wave at a traction-free surface, and its diffraction by a crack, are studied for the Fourier model version of this case. Surface temperature changes, and temperature decreases ahead of the crack edge, but increases behind it. For a crack initially closed by compression the incident wave must generate tension, but it need not exceed the pre-stress in magnitude to produce opening.