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| A method for dealing with singular integrals in the elastodynamics boundary element method |
| Received:March 22, 2021 Revised:September 18, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210322001 |
| KeyWord:boundary element method time-domain boundary element method elastodynamics singular integrals boundary integral equation |
| Author | Institution |
| 钟玉东 |
郑州轻工业大学 机电工程学院, 河南省机械装备智能制造重点实验室, 郑州 |
| 侯俊剑 |
郑州轻工业大学 机电工程学院, 河南省机械装备智能制造重点实验室, 郑州 |
| 谢贵重 |
郑州轻工业大学 机电工程学院, 河南省机械装备智能制造重点实验室, 郑州 |
| 何文斌 |
郑州轻工业大学 机电工程学院, 河南省机械装备智能制造重点实验室, 郑州 |
| 王良文 |
郑州轻工业大学 机电工程学院, 河南省机械装备智能制造重点实验室, 郑州 |
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| Abstract: |
| When the boundary element method is used to analyze transient elastodynamics problems, the piecewise continuity and the singularity of the time-domain fundamental solution function present an enormous difficulty for their solution.To tackle the singularity of the fundamental solution, the definition of a Cauchy principal value is employed to decompose the time-domain fundamental solution into the singular part and the regular part in this paper.The regular part can be calculated by using the conventional Gaussian integral method, and the singular part which has a simple form can be calculated by analytical integrations.After the above operations, the singular integral in the time-domain fundamental solution can be eliminated directly.Compared with the traditional method, the proposed method is a direct method for solving singular integrals, and does not rely on the static fundamental solution to eliminate the singularity.Finally, several numerical examples are given to verify the accuracy and feasibility of the proposed method.The numerical results show that the proposed method can solve the singularity problem in the boundary integral equation of elastodynamics. |
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