Incorporating various elements into host shape memory alloys (SMAs) has proven to be an effective strategy for optimizing their functional properties. However, modeling the complex multi-doping effect is challenging. In the present study, we introduced a phenomenological model based on Ginzburg–Landau theory, wherein each doping element is conceptualized as an internal dilatational stress. This internal stress is represented as a spatial Gaussian distribution characterized by two influential parameters: potency (h) and range (σ). The interaction between doping elements arises from the superposition of these stresses. Utilizing a time-dependent Ginzburg–Landau simulation based on our proposed model, diverse combinations of h and σ replicate the varied experimental outcomes associated with multi-doping effects. This model offers insight into the understanding of the doping impact on martensitic transformation and may contribute to the development of SMAs with tailored properties.

中文翻译：

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多重掺杂对形状记忆合金马氏体相变行为的影响


事实证明，将各种元素融入主体形状记忆合金（SMA）中是优化其功能特性的有效策略。然而，对复杂的多掺杂效应进行建模具有挑战性。在本研究中，我们引入了基于金兹堡-朗道理论的唯象模型，其中每种掺杂元素都被概念化为内部膨胀应力。该内部应力表示为空间高斯分布，其特征在于两个影响参数：效力 (h) 和范围 (σ)。掺杂元素之间的相互作用是由这些应力的叠加产生的。利用基于我们提出的模型的时间相关的 Ginzburg-Landau 模拟，h 和 σ 的不同组合复制了与多重掺杂效应相关的各种实验结果。该模型有助于深入了解掺杂对马氏体转变的影响，并可能有助于开发具有定制特性的 SMA。