Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations

GUO Zhao; GUO Zitao; YI Lingyan

doi:10.21656/1000-0887.390183

Volume 40 Issue 2

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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. 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. doi: 10.21656/1000-0887.390183

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Analysis of Multicrack Problems With Eigen COD Boundary Integral Equations

doi: 10.21656/1000-0887.390183

¹College of Civil Engineering and Urban Construction, Jiujiang University, Jiujiang, Jiangxi 332005, P.R.China;²College of Economics and Management, Jiujiang University, Jiujiang, Jiangxi 332005, P.R.China

Funds: The National Natural Science Foundation of China（11662005）

Received Date: 2018-06-27
Rev Recd Date: 2018-10-16
Publish Date: 2019-02-01

Abstract

Abstract

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.
- multicrack problem,
- eigen crack opening displacement,
- boundary integral equation,
- fast multipole boundary element method,
- numerical simulation

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References(21)

References

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