Stability of a two-phase process in an elastic solid

摘要: This work investigates the linear stability of an antiplane shear motion which involves a steadily propagating normal planar phase boundary in arbitrary element family non-elliptic generalized neo-Hookean materials. It is shown that such process linearly unstable with respect to large class disturbances if and only kinetic response function—a constitutively supplied entity relates velocity driving traction acts on it—is locally decreasing as function appropriate argument. result holds whether or not inertial effects are taken into consideration, demonstrating relevant depends entirely upon transformation kinetics intrinsic function. The morphological evolution interface then, inertia-free setting, tracked for short time subsequent perturbation. found that, when non-monotonic, can evolve so qualitatively resemble plate-like structures displacive solid-solid transformations.