模拟Mullins效应的伪弹性材料模型的热力学
On the thermodynamics of pseudo-elastic material models to reproduce the Mullins effect
摘要：
本工作的重点是伪弹性模型，代表穆林斯效应的热力学。对建立的两种模型进行了理论分析，导出了它们的热力学性质，并确定了某些临界点。这些研究结果被用来推导出一种替代的方法来偏离伪弹性。这是通过定义一个合适的自由能来实现的，该自由能使用克劳修斯-杜亨不等式对应力张量和耗散施加条件。伪弹性的概念，然后推广到任意的热机械，甚至非弹性，材料模型，允许软化效应。在软化函数的弱假设下，示出了热机械的一致性。
英文摘要：
This work focuses on the thermodynamics of pseudo-elastic models which represent the Mullins effect. Two established models are analyzed theoretically, their thermomechanical properties are derived, and certain critical points are identified. These findings are used to deduce an alternative approach to deviate pseudo-elasticity. This is achieved by defining a suitable free energy which imposes conditions on the stress tensor and the dissipation using the Clausius-Duhem inequality. The concept of pseudo-elasticity is then generalized to extend arbitrary thermomechanical, even inelastic, material models to allow for softening effects. Under weak assumptions on the softening function the thermomechanical consistency is shown.
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