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以不可逆热力学理论为基础,选定了包含反映材料运动硬化和等向硬化行为的参量的Helmholtz自由能函数,同时,构造了具有相应内变量的非关联流动势函数,推导出流动方程以及内变量演化方程,构建出金属材料的黏塑性统一本构模型,提出构建黏塑性统一本构模型完整的较一般的理论框架.与传统的唯象法模型相比,提出的模型具有满足不可逆热力学基本规律的优点.本方法不仅为黏塑性统一本构模型进一步的发展奠定了理论基础,还为其应用于更广泛材料的本构分析提供了理论框架.
Based on the theory of irreversible thermodynamics, the Helmholtz free energy function, which contains the parameters that reflect the hardening and the isotropic hardening behavior of the material, is selected. At the same time, the non-associated flow potential function with corresponding internal variables is constructed and the flow equation and the internal variables Evolution equation to construct a unified visco-plastic constitutive model of metal materials and put forward a more general theoretical framework of visco-plastic unified constitutive model.Compared with the traditional phenomenological model, the proposed model has the basic law of irreversible thermodynamics This method not only laid a theoretical foundation for the further development of visco-plastic unified constitutive model, but also provided a theoretical framework for its application to the constitutive analysis of a wide range of materials.