Shape memory alloys are remarkable 'smart' materials used in a broad spectrum of applications, ranging from aerospace to robotics, thanks to their unique thermomechanical coupling capabilities. Given the complex properties of shape memory alloys, which are largely influenced by thermal and mechanical loads, as well as their loading history, predicting their behavior can be challenging. Consequently, there exists a pronounced demand for an efficient material model to simulate the behavior of these alloys. This paper introduces a material model rooted in Hamilton's principle. The key advantages of the presented material model encompass a more accurate depiction of the internal variable evolution and heightened robustness. As such, the proposed material model signifies an advancement in the realistic and efficient simulation of shape memory alloys.

翻译：形状记忆合金因其独特的热力耦合能力，作为优异的'智能'材料广泛应用于航空航天、机器人等领域。由于形状记忆合金的复杂特性在很大程度上受热载荷、机械载荷及其加载历史的影响，对其行为的预测面临挑战。因此，亟需建立一种高效的材料模型来模拟这些合金的行为。本文引入了一种基于汉密尔顿原理的材料模型。该模型的核心优势在于能够更精确地描述内变量演化并具有更强的鲁棒性。因此，所提出的材料模型标志着形状记忆合金真实高效模拟领域的重要进展。