| 自然单元法在线弹性断裂力学中的应用研究 |
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| 引用本文： | 盖珊珊,王卫东,张敦福,程钢. 自然单元法在线弹性断裂力学中的应用研究[J]. 计算力学学报, 2011, 28(3): 483-487 |
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| 作者姓名： | 盖珊珊 王卫东 张敦福 程钢 |
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| 作者单位： | 1. 山东大学,土建与水利学院工程力学系,济南,250061
2. 山东建筑大学,机电工程学院,济南,250101 |
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| 基金项目： | 国家自然科学基金(50979052);山东省自然科学基金(2009ZRB02223,ZR2010EM032);山东省中青年科学家科研奖励基金(BS2009CL047)资助项目. |
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| 摘 要： | 采用Laplace插值构造近似场函数,代入弹性力学边值问题的变分弱形式,由变分原理推导出自然单元法的离散控制方程。运用线弹性断裂力学理论，分析了有限板单边Ⅰ型裂纹的应力强度因子和有限板拉剪复合裂纹的扩展，给出了分析线弹性断裂力学问题的自然单元法。数值计算结果表明了方法的正确性和有效性。
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| 关 键 词： | 自然单元法 Laplace插值 应力强度因子 裂纹扩展 |
| 收稿时间： | 2009-05-12 |
| 修稿时间： | 2009-10-28 |
Study on the application of natural element method in linear-elastic fracture mechanics |
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| GAI Shan-shan,WANG Wei-dong,ZHANG Dun-fu and CHENG Gang. Study on the application of natural element method in linear-elastic fracture mechanics[J]. Chinese Journal of Computational Mechanics, 2011, 28(3): 483-487 |
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| Authors: | GAI Shan-shan WANG Wei-dong ZHANG Dun-fu CHENG Gang |
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| Affiliation: | Department of Engineering Mechanics,School of Civil Engineering,Shandong University,Jinan 250061, China;Department of Engineering Mechanics,School of Civil Engineering,Shandong University,Jinan 250061, China;Department of Engineering Mechanics,School of Civil Engineering,Shandong University,Jinan 250061, China;Department of Mechanical & Electronic Engineering, Shandong Jianzhu University, Jinan 250101, China |
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| Abstract: | The natural element method, which is based on the Laplace interpolation, is given for the calculation of the stress intensity factors and the simulation of the crack propagation. The Laplace interpolation, which is based on the Voronoi diagram and its dual Delaunay tessellation, is used to approximate the trial function. The discrete governing equation is developed by using the variation principle. By using the theory of linear elastic fracture mechanics,the analysis of stress intensity factors and crack propagation is given for the finite plates with a single edge crack and with a mixed-mode crack in tensile-shear state, respectively.Numerical examples reveal the effectiveness and the advantages of the present method. |
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| Keywords: | natural element method Laplace interpolation stress intensity factors crack propagation |
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