A theoretical model and finite element formulation for coupled thermo-electro-chemo-mechanical media

作者：Yang, Qing-Sheng^*; Qin, Qing-Hua; Ma, Lian-Hua; Lu, Xu-Zhi; Cui, Cai-Qin

来源：Mechanics of Materials, 2010, 42(2): 148-156.

DOI：10.1016/j.mechmat.2009.10.003

• Thermo-electro-chemo-mechanical coupling
• Chemo-mechanical coupling
• Multi-physical fields
• Variational principle
• Hydration media
• Polymers
• Biological tissues

Many synthetic and natural media which are often described as multifunctional smart materials demonstrate thermo-electro-chemo-mechanical coupling behavior and are sensitive to external environmental stimuli. This paper presents a set of basic equal ions, a variational principle and a finite element procedure for investigating the coupled behavior of thermo-electro-chemo-elastic media. Emphasis here is placed on introducing chemical effects into the coupled equation system. Using the governing equations of thermal conduction, electric flow, ionic diffusion and momentum balance, a variational principle is deduced for a linearly coupled system by means of the extended Gibb's free energy function. The variational principle is then used to derive a fully coupled multi-field finite element formulation for simulating the coupled thermo-electro-chemo-elastic behavior of biological tissues. Numerical examples are considered to illustrate the coupled phenomena of the materials and to verify the proposed variational theory and numerical procedure.

• 出版日期2010-2
• 单位北京工业大学