The work is devoted to the numerical aspects of the modeling tool elaborated to simulate the phenomenon of solid phase transformation in shape memory alloys. Particularly, a nonlocal approach, namely the bond based variant of peridynamics, is of concern to handle material model nonlinearities conveniently. The proposed model considers thermomechanical coupling which governs kinetics of the process of phase change. The phenomenological peridynamic model of a shape memory alloy is based on the Gibbs free energy concept and thermoelasticity. The work focuses on the superelasticity effect which can be observed when a tested material is subjected to a mechanical load. As a demanded application scope for the proposed smart material model, its scheduled future use in the study of operational conditions for a gas foil bearing is considered. The motivation of the work has primarily originated from the perspective of more accurate, i.e., more physical, modeling of the structural components which employ shape memory alloys to stabilize the bearing operation. The authors conduct a preliminary investigation regarding the properties of the newly proposed numerical multiphysics approach. Specifically, the scope of the work covers description of the developed computational framework as well as detailed derivation of its stability criteria. Exemplary numerical results complement the paper providing with determination of the stress–strain relation and adequate parametric study.

中文翻译：

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形状记忆合金中的相变：通过近场动力学进行热机械建模的数值方法

这项工作致力于模拟形状记忆合金中固相转变现象的建模工具的数值方面。特别是，一种非局部方法，即近场动力学的基于键的变体，可以方便地处理材料模型的非线性。所提出的模型考虑了控制相变过程动力学的热机械耦合。形状记忆合金的现象学近场动力学模型基于吉布斯自由能概念和热弹性。这项工作的重点是超弹性效应，当测试材料受到机械载荷时可以观察到这种效应。作为所提出的智能材料模型所需的应用范围，考虑了它在未来用于气体箔轴承运行条件研究的预定用途。这项工作的动机主要源于更准确，即更物理的结构部件建模的角度，这些结构部件采用形状记忆合金来稳定轴承操作。作者对新提出的数值多物理场方法的特性进行了初步调查。具体来说，工作范围包括对开发的计算框架的描述以及其稳定性标准的详细推导。示例性数值结果补充了论文，提供了应力-应变关系的确定和充分的参数研究。作者对新提出的数值多物理场方法的特性进行了初步调查。具体来说，工作范围包括对开发的计算框架的描述以及其稳定性标准的详细推导。示例性数值结果补充了论文，提供了应力-应变关系的确定和充分的参数研究。作者对新提出的数值多物理场方法的特性进行了初步调查。具体来说，工作范围包括对开发的计算框架的描述以及其稳定性标准的详细推导。示例性数值结果补充了论文，提供了应力-应变关系的确定和充分的参数研究。