基于内能分解的力-热-化多物理场耦合系统连续介质力学

Continuum mechanics for thermo-chemo-mechanical coupling system based on decomposition of internal energy

本文将内能分解为可逆自由内能和不可逆耗散能两部分,基于连续介质热力学获得了考虑传热、传质、化学反应和宏观形变的开放系统守恒律,以及相应的力-热-化多场耦合本构关系和演化方程的表达式,从而建立了基于内能分解的力-热-化多场耦合理论框架以及等效积分弱形式,最后给出了一个典型的力-化耦合问题数值算例.

In this paper, based on the decomposition of internal energy into free internal energy and dissipative energy, some conservation laws of a thermodynamically open continuum system as well as related constitutive relations and evolution equations are derived when considering heat conduction, mass transfusion, chemical reactant and mechanical deformation. Upon establishing a weak form of corresponding governing differential equations and boundary conditions under above theoretical framework, a simple example is then numerically implemented to demonstrate the solution procedure.