基于耦合场本征变量的热力学本构模型及在模拟合金PLC效应中的应用

THERMODYNAMIC CONSTITUTIVE MODEL BASED ON COUPLED FIELD AND ITS APPLICATION IN SIMULATING THE PLC EFFECT OF ALLOY

  • 摘要: 提出耦合场本征变量,建立了耦合场热力学本构模型,描述了材料受多物理场影响下弹塑性力学性质的改变,以及多物理场间耦合交叉影响导致的材料力学性质的改变。不同于传统热力学方法的将耦合场变量视为“参数”,以此修正材料系数实现热力学框架下的耦合场本构建模。该文以耦合场条件下的热力学力耦合作为建模核心,基于耦合场本征变量,建立热力学力耦合屈服函数,克服了“参数”法中的耦合场变量如温度变量等既是材料参数,又是可观测状态变量的双重变量属性问题,确保了热力学力的对偶性在耦合场条件下依然可以得到严格满足;基于耦合场本征变量,根据Onsager倒易关系,建立了耦合场热力学流动力演化方程的限制矩阵,描述耦合场间相互作用对材料弹塑性力学性质的影响。通过对合金高温变形稳定性丧失(Portevin-Le Chatelier)期间,稳态应变率灵敏性(Strain Rate Sensitivity)的负正转变的模拟,验证了该文提出的耦合场热力学本构模型在描述多物理场间相互影响时的可应用性。

     

    Abstract: The intrinsic variables of coupled field were proposed to establish the thermodynamic constitutive model of coupled field in which the influence and cross influence of multiple physical fields can be considered. Different from the traditional thermodynamics that the variables of coupled field were considered as ‘parameters’ to modify the material coefficients to establish the constitutive model of coupled field under the thermodynamic framework, this paper considered the coupling of thermodynamic force as the key to model establishment, which was characterized. It overcame the problem in ‘parameter’ method that the coupling filed variable such as the temperature is not only a material parameter, but also an observable state variable, and the duality of thermodynamic forces can still be strictly satisfied in coupled field. Based on the Onsager reciprocal relation and the intrinsic variables of coupled field, the constraint matrix of hydrodynamic evolution equation in the thermodynamic coupled field was established to describe the effect of interaction on elasto-plastic mechanical properties of materials between coupled fields. An application of the generalized model was given at the end of this paper, which showed the degeneration of the generalized model. The applicability of the coupled field thermodynamic constitutive model proposed in this paper in describing the cross influence of multiple physical fields was verified by simulating the negative positive transition of steady-state strain rate sensitivity (Strain Rate Sensitivity) during the loss of high-temperature deformation stability of the alloy (Portevin-Le Chatelier).

     

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