摘要
Fracture analysis of a plane crack problem under chemo-mechanical loading is presented based on a linear chemo-elasticity model.The flux conductivity is introduced to characterize the influence of the crack defect on the diffusion process.Using Fourier transform and the dislocation density functions,the crack problem is reduced to a set of singular integral equations,which are solved numerically by the Lobatto-Chebyshev method.Parametric studies are conducted to reveal the effects of flux conductivity,geometric configuration,chemical and mechanical loads on the crack tip field.The numerical results show that the stress singularity at the crack tip is usually a mixture of mode Ⅰ and mode Ⅱ types.
基于线性的化学弹性模型,本文给出了化学-力学荷载下平面裂纹问题的断裂分析.引入流通系数来描述裂纹缺陷对扩散过程的影响.利用傅里叶变换和位错密度函数,裂纹问题被归结为一组奇异积分方程,采用Lobatto-Chebyshev方法对其进行数值求解.通过参数研究揭示了流通系数、几何构型、化学和力学载荷对裂纹尖端场的影响.数值结果表明,裂纹尖端的应力奇异性通常表现为Ⅰ型和Ⅱ型的混合.
作者
Juntao Shi
Zheng Zhong
时俊涛;仲政(School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai,200092,China;School of Science,Harbin Institute of Technology,Shenzhen,518055,China)
基金
supported by the National Natural Science Foundation of China(Grant Nos.11932005 and 11772106).
