Theory And Fe Analytical Method Of Thermo-Electro-Chemo-Mechanical Coupling For Biomaterials

As one kind of special porous media, biological tissues, hydrogels are of conducting, swelling and compatibility with polymer. These materials can experience mechanical, physical, chemical and biological process. These processes are interactive. For understanding of the mechanism of the interaction of multi-physical fields, the coupling behaviors of thermo-electro-chemo-mechanics are investigated for biom aterials in this dissertation. The main work in this dissertation is as follows: (1) Basic theories of materials under different field loads are revealed. These include thermal, electric and mechanical theories. The finite element equations are derived by variational principle. Basic equations about stable and unstable chemical field are derived from convective-diffusion equation of the ion reviewed. Then finite element forms of chemical field are obtained by the weighted residual method. (2) In the view of Gibbs free energy, basic equations of the two-field coupling are obtained by considering the heat dissipation and ion diffusion, including thermo-mechanical, electro-mechanical and chemo-mechanical equations. Then coupling finite element forms of thermo-electro-mechanical are given. Finally chemical field is introduced to thermo-electro-mechanical coupling theory to obtain full-coupling finite element equations of thermo-electro-chemo-mechanical fields. (3) Numerical simulation of coupling behaviors for biomaterials is implemented according to the chemo-mechanical finite element method. The numerical results indicate validity and effectivity of the present theory. The coupling theory and finite element method of multi-physical fields for biomaterials are preliminarily established in this dissertation. Numerical examples exhibit the multi-physical coupling phenomena of biomaterials. This theory and method can be applied in multi-field coupling analysis of other porous media.