形状记忆合金非线性热-力学动力学的有限体积分析
Finite Volume Analysis of Nonlinear Thermo-mechanical Dynamics of Shape Memory Alloys
AI总结：
本文采用有限体积法模拟形状记忆合金的非线性热弹性动力学，成功再现一维和二维中的马氏体相变与迟滞效应。
摘要：
本文发展了有限体积法来分析非线性热弹性的耦合动力学问题。主要关注点在于描述形状记忆合金建模中至关重要的马氏体相变。通过计算实验研究了形状记忆合金杆和板中的热-力学波相互作用。所发展的方法成功模拟了一维结构中的机械和热诱导相变以及迟滞效应。在二维情况下，主要关注方形到矩形的转变，并提供了不同机械载荷下马氏体组合的示例。
英文摘要：
In this paper, the finite volume method is developed to analyze coupled dynamic problems of nonlinear thermoelasticity. The major focus is given to the description of martensitic phase transformations essential in the modelling of shape memory alloys. Computational experiments are carried out to study the thermo-mechanical wave interactions in a shape memory alloy rod, and a patch. Both mechanically and thermally induced phase transformations, as well as hysteresis effects, in a one-dimensional structure are successfully simulated with the developed methodology. In the two-dimensional case, the main focus is given to square-to-rectangular transformations and examples of martensitic combinations under different mechanical loadings are provided.
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