Luo Alan M, Öttinger Hans Christian
ETH Zürich, Department of Materials, Polymer Physics, CH-8093, Zürich, Switzerland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Feb;89(2):022137. doi: 10.1103/PhysRevE.89.022137. Epub 2014 Feb 25.
The shear-transformation-zone (STZ) model has been applied numerous times to describe the plastic deformation of different types of amorphous systems. We formulate this model within the general equation for nonequilibrium reversible-irreversible coupling (GENERIC) framework, thereby clarifying the thermodynamic structure of the constitutive equations and guaranteeing thermodynamic consistency. We propose natural, physically motivated forms for the building blocks of the GENERIC, which combine to produce a closed set of time evolution equations for the state variables, valid for any choice of free energy. We demonstrate an application of the new GENERIC-based model by choosing a simple form of the free energy. In addition, we present some numerical results and contrast those with the original STZ equations.
剪切转变区（STZ）模型已被多次应用于描述不同类型非晶系统的塑性变形。我们在非平衡可逆-不可逆耦合（GENERIC）框架的通用方程内构建此模型，从而阐明本构方程的热力学结构并确保热力学一致性。我们为GENERIC的基本组成部分提出了自然的、基于物理动机的形式，这些形式组合起来产生了一组针对状态变量的封闭时间演化方程，对任何自由能选择均有效。我们通过选择一种简单形式的自由能来展示基于新GENERIC模型的应用。此外，我们给出了一些数值结果，并将其与原始STZ方程的结果进行对比。
