论文标题
各向同性mullins效应的非等热现象学模型的热力学框架
A thermodynamic framework for non-isothermal phenomenological models of isotropic Mullins effect
论文作者
论文摘要
Mullins效应是一个吸引各种固体材料（尤其是填充橡胶）家族的普通名称。鉴于Mullins效应的重要性，已经有许多尝试开发描述效果的数学模型的尝试。但是，大多数可用的模型仅专注于机械响应，并且仅限于理想化的等温设置。我们将限制放在等温过程中，并为穆林斯效应的一类现象学模型提出了一个完整的热力学框架。特别是，我们确定了储能机制（Helmholtz自由能）和熵生产机制，这些机制在应力水平 - 应变关系水平上导致理想化的Mullins效应或以永久性应变对Mullins效应。在提出的框架内构建的模型可以用于完全耦合的热机械过程的建模，并保证模型与热力学定律一致。
The Mullins effect is a common name for a family of intriguing inelastic responses of various solid materials, in particular filled rubbers. Given the importance of the Mullins effect, there have been many attempts to develop mathematical models describing the effect. However, most of available models focus exclusively on the mechanical response, and are restricted to the idealised isothermal setting. We lift the restriction to isothermal processes, and we propose a full thermodynamic framework for a class of phenomenological models of the Mullins effect. In particular, we identify energy storage mechanisms (Helmholtz free energy) and entropy production mechanisms that on the level of stress--strain relation lead to the idealised Mullins effect or to the Mullins effect with permanent strain. The models constructed within the proposed framework can be used in the modelling of fully coupled thermo-mechanical processes, and the models are guaranteed to be consistent with the laws of thermodynamics.
