Shape memory alloys (SMAs) have been widely employed in many engineering fields due to their unique functional properties, such as super-elasticity, elastocaloric effect, and shape memory effect. Besides the experimental observation, the phase field approach is a mainstream and significant research tool and has played an increasingly prominent role in predicting the functional properties and fracture behavior of SMAs and revealing correspondent physical mechanisms. In this work, the phase field models of SMAs are first introduced, including the models of thermally induced SMAs addressing a) the fundamental framework for the martensite transformation and considering some influence factors; b) precipitation behavior; c) fracture behavior; and those of magnetically induced SMAs. Then, the state-of-the-art of phase field simulations on the thermally induced SMAs are systematically reviewed by concerning the martensite transformation, functional properties, and fracture behavior, and those on the magnetically induced SMAs are also reviewed by considering the magnetic-field-induced strain and mechanical-field- and magnetic-field-induced shape memory effect. Finally, the future research directions of the phase field modeling of SMAs are prospected.

中文翻译：

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形状记忆合金功能特性和断裂行为的相场建模研究进展


形状记忆合金 （SMA） 因其独特的功能特性，如超弹性、弹性热量效应和形状记忆效应，已被广泛应用于许多工程领域。除了实验观察外，相场法是一种主流的重要研究工具，在预测 SMA 的功能特性和断裂行为以及揭示相应的物理机制方面发挥着越来越突出的作用。在这项工作中，首先介绍了 SMA 的相场模型，包括热诱导 SMA 的模型，这些模型解决了 a） 马氏体相变的基本框架并考虑了一些影响因素;b） 降水行为;c） 断裂行为;和磁感应 SMA 的 SMA 的 SMA 的然后，系统地回顾了热感应SMAs的相场模拟技术，从马氏体相变、功能特性和断裂行为等方面进行了研究，并考虑了磁场诱导应变和机械场和磁场诱导的形状记忆效应，对磁感应SMAs的相场模拟进行了综述。最后，对 SMA 相场建模的未来研究方向进行了展望。