| 基于水平集算法的扩展有限元方法研究 |
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| 引用本文： | 茹忠亮,朱传锐,赵洪波.基于水平集算法的扩展有限元方法研究[J].工程力学,2011(7):20-25. |
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| 作者姓名： | 茹忠亮 朱传锐 赵洪波 |
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| 作者单位： | 河南理工大学土木工程学院; |
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| 基金项目： | 国家自然科学基金项目(50804014,41072224); 教育部新世纪优秀人才计划项目(NCET-08-0662); 河南省教育厅自然科学研究计划项目(2008A44005) |
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| 摘 要： | 扩展有限元是一种以单位分解思想为基础,在常规有限元位移中加入跳跃函数和渐近位移场函数,以处理不连续问题的数值方法。将水平集算法应用到裂纹界面的描述及加强单元类型的判别,并与扩展有限元相结合,用于分析材料断裂问题。相比传统有限元,有限元网格与裂纹面位置相互独立,不需满足裂纹为单元边、裂尖为单元节点和在裂纹附近进行高密度的...
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| 关 键 词： | 扩展有限元 裂纹 水平集法 应力强度因子 数值方法 |
STUDY ON THE EXTEND FINITE ELEMENT METHOD BASED ON LEVEL SET ALGORITHM |
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| RU Zhong-liang,ZHU Chuan-rui,ZHAO Hong-bo.STUDY ON THE EXTEND FINITE ELEMENT METHOD BASED ON LEVEL SET ALGORITHM[J].Engineering Mechanics,2011(7):20-25. |
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| Authors: | RU Zhong-liang ZHU Chuan-rui ZHAO Hong-bo |
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| Affiliation: | RU Zhong-liang,ZHU Chuan-rui,ZHAO Hong-bo(College of Civil Engineering,Henan Polytechnic University,Jiaozuo 454010,China) |
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| Abstract: | The Extended Finite Element Method(XFEM),which is based on the partition of unitym,is a novel numerical approach to solve discontinuous problems.It employs jump function and asymptotic crack tip displacement field function in Classical Finite Element Method,and applies the Level Set algorithm to describe the crack interface and judge the element types.It can be used to analyze the problem of material fracture.Compared with the classical finite element method,where the finite element mesh and the location of... |
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| Keywords: | extend finite element method fracture level set stress intensity factor numerical method |
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