多孔介质的热-电-化-力学耦合理论及应用

本文针对自然界中不同种类的多孔介质，评述了包含化学效应的多场耦合力学问题的国外内研究现状.介绍了研究多场耦合问题的理论架构，并基于唯象理论和热力学理论，建立了一般性的热-电-化-力学多场耦合理论，在此基础上简化为化学-力学耦合理论，利用相应的控制方程和本构关系, 给出了线性耦合系统的变分原理,并证明了化学-力学耦合理论架构的封闭性. 基于所提出的化-力耦合模型，通过数值算例解释了多孔介质中的化学-力学耦合现象.最后对多孔介质，特别是对活体生物软组织中的多场耦合研究中存在的问题进行了讨论，并展望了本领域的未来发展趋势.

THERMO-ELECTRO-CHEMO-MECHANICAL COUPLING THEORY AND ITS APPLICATION IN POROUS MEDIA

This paper presents an overview of the multi-field coupled model including chemical effects and its application in various porous media widely distributed in nature. Basic theoretical frameworks of multi-field coupled problem are discussed. Based on phenomenological theory and thermodynamics, a general thermo-electro-chemo-mechanical coupling theory is established and the simplified version for chemo-mechanical coupled problem is then derived on that basis. Using a set of governing equations and constitutive laws, a variational principle is deduced for a linearly coupled system and its closeness is proved. A several numerical examples are considered to illustrate the chemo-mechanical coupling phenomena of porous media and to verify the proposed variational theory and numerical procedure. Finally, some problems and challenges in multi-field couplings in porous media especially in living biological soft tissue are analyzed, and future trends in this field are identified.