考虑化学-力学耦合的稳态裂纹问题

含有化学过程的多场耦合问题广泛存在于天然多孔介质、生物组织和新型功能材料中,其中各物质组分在应力、化学势梯度、温度差和电势差等共同作用下,会发生质量、动量和能量的传递和转化.本文研究了稳态扩散下有限厚度平板中的I型裂纹问题.通过傅里叶变换和引入位错密度函数,将问题归结为求解一组奇异积分方程,采用Lobatto-Chebyshev方法对其进行数值求解,最后对化学势分布和应力强度因子进行了讨论.

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.