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| Adaptive phantom node method for three-dimensional crack propagation |
| Received:July 08, 2023 Revised:September 11, 2024 |
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| DOI：10.7511/jslx20230708001 |
| KeyWord:crack propagation adaptive mesh refinement phantom node method extended finite element method three-dimensional cracks |
| Author | Institution |
| 冯泽洋 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 段庆林 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 陈嵩涛 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
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| Abstract: |
| In this paper,an adaptive phantom node method is developed in the framework of the finite element method(FEM),aiming at three-dimensional crack propagation.The proposed method describes the discontinuity at cracks by the technique of phantom nodes,and the crack tip enrichment functions(and the corresponding extra degrees of freedom)are not needed.The geometrical description and tracking of the extending three-dimensional crack surfaces are treated by the element-local level set method.To accelerate the computation,adaptive mesh refinement along with crack surface extension is proposed.The hanging nodes present in the locally refined mesh is treated by the simple technique of constrained approximation,and no extra degrees of freedom or special elements are involved.Numerical implementation of the presented adaptive phantom node method is convenient and its robustness is comparable to the standard FEM.Numerical results show that the proposed method is able to simulate three-dimensional crack propagation and it can be conveniently applied to model multiple cracks propagating in complex engineering structures. |