Abstract
A theoretical model for thermo-chemo-mechanically coupled problems considering plastic flow at large deformation is proposed, which can be applied to predict mechanical behavior of materials under thermal and chemical environments. Different from other models in literatures, the present model derives the driving forces in the case of large deformation for reaction and diffusion: the chemical affinity and the chemical potential, by employing the extent of reaction and the diffusion concentration as two kinds of independent variables so that diffusion and reaction can be distinguished. Then a modified chemical kinetics is developed to satisfy the dissipation inequality, which depends not only on species concentrations, but also on deformation. This modified chemical kinetics is constructed from the most popular chemical kinetics in chemistry, initially expressed as a power function of the concentrations of reactants and products, by incorporating the Eshelby stress into the chemical affinity to reflect the influence of deformation on the chemical kinetics. A case study of metal oxidation is provided to demonstrate the application of the present model.
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