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| A symplectic analytical singular element for V-notch problem under dynamic loading condition |
| Received:September 26, 2019 Revised:November 23, 2019 |
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| DOI：10.7511/jslx20190926002 |
| KeyWord:finite element method V-notch dynamic stress intensity factor singular element |
| Author | Institution |
| 蔡智宇 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连 |
| 姚伟岸 |
大连理工大学 工程力学系 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| The V-notch problem in a plane structure under dynamic loading condition was investigated in this paper,with a symplectic analytical singular element (SASE) combined with a precise time domain expanding algorithm (PTDEA).The PTDEA was used for the discretization of the time domain,where a self-adaptive technique was adopted out to determine the proper number of the expanding terms with required accuracy.In the space domain,the SASE was employed to occupy the area around the V-notch tip and conventional elements were used for the remaining area,so that local mesh refinement could be avoided.Taking advantages of the SASE,the dynamic stress intensity factors (DSIFs) were obtained directly via the relationship between the eigen expanding coefficients and the DSIFs,without the complex post-processing.Numerical results show that the proposed SASE for the dynamic V-notch problem is effective and efficient. |