Crack Problem Considering Chemo-Mechanical Coupling under Steady State

Multi-field coupling problems involving chemical processes exist widely in natural porous media, biological tissues and new functional materials. The transfer and transformation of mass, momentum and energy will occur under the combined action of stress, chemical potential gradient, temperature difference and electric potential difference. In this paper, the Mode I crack problem in a finite thickness plate under steady state diffusion is investigated. Using Fourier transform method and introducing the dislocation density functions, the problem is reduced to a set of singular integral equations, which are solved numerically by the Lobatto-Chebyshev method. Finally, the chemical potential distribution and the stress intensity factors are discussed.