| MESHLESS METHOD FOR 2D MIXED-MODE CRACK PROPAGATION BASED ON VORONOI CELL |
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| 引用本文： | LouLullang ZengPan. MESHLESS METHOD FOR 2D MIXED-MODE CRACK PROPAGATION BASED ON VORONOI CELL[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 231-239. DOI: 10.1007/s10338-003-0131-y |
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| 作者姓名： | LouLullang ZengPan |
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| 作者单位： | DepartmentofMechanicalEngineering,TsinghuaUniversity,Beijing100084,China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Nos.59825117 and 50175060). |
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| 摘 要： | A meshless method integrated with linear elastic fracture mechanics (LEFM) is presented for 2D mixed-mode crack propagation analysis. The domain is divided automatically into sub-domains based on Voronoi cells, which are used for quadrature for the potential energy. The continuous crack propagation is simulated with an incremental crack-extension method which assumes a piecewise linear discretization of the unknown crack path. For each increment of the crack extension, the meshless method is applied to carry out a stress analysis of the cracked structure. The J-integral, which can be decomposed into mode I and mode II for mixed-mode crack, is used for the evaluation of the stress intensity factors (SIFs). The crack-propagation direction, predicted on an incremental basis, is computed by a criterion defined in terms of the SIFs. The flowchart of the proposed procedure is presented and two numerical problems are analyzed with this method. The meshless results agree well with the experimental ones, which validates the accuracy and efficiency of the method.
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| 关 键 词： | 裂纹扩展 混合模型裂纹 断裂力学 数值模拟 工程结构 失效机制 网格方法 |
MESHLESS METHOD FOR 2D MIXED-MODE CRACK PROPAGATION BASED ON VORONOI CELL |
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| Lou Luliang Zeng Pan. MESHLESS METHOD FOR 2D MIXED-MODE CRACK PROPAGATION BASED ON VORONOI CELL[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 231-239. DOI: 10.1007/s10338-003-0131-y |
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| Authors: | Lou Luliang Zeng Pan |
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| Affiliation: | (1) Department of Mechanical Engineering, Tsinghua University, 100084 Beijing, China |
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| Abstract: | A meshless method integrated with linear elastic fracture mechanics (LEFM) is presented for 2D mixed-mode crack propagation analysis. The domain is divided automatically into sub-domains based on Voronoi cells, which are used for quadrature for the potential energy. The continuous crack propagation is simulated with an incremental crack-extension method which assumes a piecewise linear discretization of the unknown crack path. For each increment of the crack extension, the meshless method is applied to carry out a stress analysis of the cracked structure. The J-integral, which can be decomposed into mode I and mode II for mixed-mode crack, is used for the evaluation of the stress intensity factors (SIFs). The crack-propagation direction, predicted on an incremental basis, is computed by a criterion defined in terms of the SIFs. The flowchart of the proposed procedure is presented and two numerical problems are analyzed with this method. The meshless results agree well with the experimental ones, which validates the accuracy and efficiency of the method. |
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| Keywords: | meshless method crack propagation mixed-mode crack Voronoi cell |
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