GUO Zhao, GUO Zitao, YI Lingyan. Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations[J]. Applied Mathematics and Mechanics, 2019, 40(2): 200-209. doi: 10.21656/1000-0887.390183
 Citation: GUO Zhao, GUO Zitao, YI Lingyan. Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations[J]. Applied Mathematics and Mechanics, 2019, 40(2): 200-209.

# Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations

##### doi: 10.21656/1000-0887.390183
Funds:  The National Natural Science Foundation of China（11662005）
• Rev Recd Date: 2018-10-16
• Publish Date: 2019-02-01
• For multicrack problems, the conventional numerical solution techniques are of low efficiency. To realize large-scale numerical simulation of multicrack problems, the eigen crack opening displacement (COD) boundary integral equations and the pertinent iteration algorithm were established. To deal with the interactions between cracks, the local Eshelby matrix was introduced. In this way, the superposition technique was employed with all cracks divided into 2 groups, i.e. the adjacent group and the far-field group, according to a non-dimensional radial distance of a crack to the current crack. In comparison to the fast multipole boundary element method with a constant element as the discrete element, the proposed computational model and the iteration algorithm were numerically verified. The numerical results show that, the model for the eigen COD boundary integral equations gets great improvement in dealing with multicrack problems, and its computation efficiency is significantly higher than those of the traditional boundary element method and the fast multipole boundary element method.
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