一种化学-力学耦合连续介质理论与数值格式

对化学驱动的连续介质化学-力学耦合系统进行研究，从热力学定律和化学势角度出发，推导了等温过程的化学-力学耦合本构关系和控制方程，利用变分方法建立了化学-力学耦合系统的能量泛函，得到化学-力学耦合控制方程的等效积分形式和相应的有限元列式. 结合算例，对连续介质的化学-力学耦合行为进行了数值计算，数值结果反映了化学与力学系统的相互耦合作用，即浓度变化能引起介质的变形，同样力学作用也能引起浓度重分布. 从全新的角度建立了描述连续介质的化学-力学耦合行为的基本理论和数值方法，能够较好地反映一类连续介质的化学-力学耦合行为. 

A CONTINUUM THEORY AND NUMERICAL PROCEDURE FOR CHEMO-MECHANICAL COUPLING BEHAVIOR

Many continuum media, often described asmultifunctional materials, exhibit multi-field coupling behavior and aresensitive to external environmental stimuli. Chemo-mechanical couplingbehavior for continuum media was investigated in this paper. From the pointview of the thermodynamics and chemical potential, we have obtained theconstitutive equations and governing equations of chemo-mechanical couplingproblem. Energy functional of chemo-mechanical coupling equations has beenestablished by variational principle, and then the equivalent integrationforms and finite element formulation of the coupled governing equations arederived. The chemo-mechanical coupling behaviors of continuum media areanalyzed by numerical examples. The numerical results show that themechanical and chemical fields interact with each other in a medium. Thedeformation of media is caused by the concentration variation. Similarly,the external mechanical force can also induce concentration redistribution.The basic theory and simulation method can be applied to analysis ofchemo-mechanical coupling behavior of continuum media. The chemo-mechanicalcoupling behavior of continuum media can be reflected clearly in the presentmodel.