化-力耦合本构关系及有限元方程

Constitutive Law and FEM Equations of Chemo-mechanical Coupling

从化学势定义出发,结合热力学第一、二定律推导了等温过程的化-力耦合本构方程和化-力耦合控制方程.建立了化-力耦合系统的能量变分泛函.并证明该化-力耦合系统为封闭系统.利用加权残值法得到了控制方程的等效积分形式和有限元离散形式,为化-力耦合现象的数值模拟奠定了理论基础.

Based on definition of chemical potential, and the first law and the second law of thermodynamics, the basic equations of chemo-mechanical coupling problem are investigated in the present paper. The constitutive equations are established by using Helmholtz free energy and then the governing equations are obtained by applying integration by parts to energy functional. It is indicated that the chemo-mechanical coupling system is closed. To build the finite element formulations of the coupling problem, an equivalent integration form of the governing equations is derived from the weighted residual method. This investigation can contribute to understanding the coupling mechanism of chemical and mechanical behavior.