Stability of a two-phase process involving a planar phase boundary in a thermoelastic solid

摘要: This investigation is directed toward understanding the role of coupled mechanical and thermal effects in linear stability an isothermal antiplane shear motion which involves a steadily propagatingnormal planar phase boundary anon-elliptic thermoelastic material. When relevant process static — so that does not move prior to imposition disturbance —it shown be linearly stable. However, when moving it may unstable. Various conditions sufficient guarantee instability are obtained. These depend on monotonicity thekinetic response function constitutively supplied entity relates thedriving traction acting local absolute temperature normal velocity boundary-and, certain cases, spectrum wave-numbers associated with perturbation subjected. Inertia found play insignificant qualitative features aforementioned conditions. It shown, particular, can arise even increasing driving if dependence kinetic suitable nature. The present this setting occurs only thelong waves Fourier decomposition boundary, implying interface prefers highly wrinkled.