ABSTRACT In this work, the propagation of a phase transformation front in a temperature-gradient rod induced by an impact loading is studied. Based on the characteristic-line theory, it is found that for loading, with the decay of the phase boundary, the phase-transition shock wave is gradually transformed into a phase-transition wave and an elastic wave. As a consequence, a functional gradient medium (phase II, mixed phase and phase I) forms in such temperature-gradient rod. Dimensional analysis shows that the widths of phase II and the mixed-phase regions are directly proportional to the amplitude of the loading stress but inversely proportional to the temperature gradient. Numerical calculations, based on a first-order Lax–Friedrichs finite-difference scheme, are presented. The calculated results are in good agreement with the characteristic-line theory and dimensional analysis results.

中文翻译：

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相变波在冲击载荷下在温度梯度形状记忆 TiNi 合金棒中的传播

摘要 在这项工作中，研究了由冲击载荷引起的温度梯度杆中相变前沿的传播。基于特征线理论发现，加载时，随着相界的衰减，相变激波逐渐转变为相变波和弹性波。因此，在这种温度梯度棒中形成功能梯度介质（相 II、混合相和相 I）。量纲分析表明，相II和混合相区域的宽度与加载应力的幅值成正比，而与温度梯度成反比。给出了基于一阶 Lax-Friedrichs 有限差分格式的数值计算。