Numerical Solution of Stress Intensity Factors of Multiple Cracks inGreat Number with Eigen COD Boundary Integral Equations
Based on the eigen crack opening displacement (COD) boundary integral equations, a newly developed computational approach is proposed for the analysis of multiple crack problems. The eigen COD particularly refers to a crack in an infinite domain under fictitious traction acting on the crack surface. With the concept of eigen COD, the multiple cracks in great number can be solved by using the conventional displacement discontinuity boundary integral equations in an iterative fashion with a small size of system matrix. Numerical examples are provided for the stress intensity factors of multiple cracks, up to several thousands in number, with the proposed approach. By comparing with the analytical solutions in the literature as well as solutions of the dual boundary integral equations, the effectiveness and the efficiencies of the proposed approach are verified.
multiple cracks stress intensity factor eigen COD boundary integral equation local Eshelby matrix
H. Ma Z. Guo C. Yan M. Dhanasekar
Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, China Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, QLD 40 School of Civil engineering and Built Environment, Queensland University of Technology, QLD 4001, Au
国际会议
长沙
英文
1-5
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）