Transient thermal stresses in a thin elastic plate due to a rapid dual-phase-lag heating

Thermal stresses generated within a thin plate as a result of a fast heatin g rate are investigated numerically using the dual-phase-lag heat conductio n model. The quantitative and qualitative predictions of the dual-phase-lag model for the thermal stresses are compared with the predictions of the di ffusion (parabolic) and wave (hyperbolic) heat conduction models. It is fou nd that the predictions of the three models differ in the early stages of t he heating process and then give almost the same predictions as they approa ch the steady-state limit.