| 基于基本解的杂交有限元法计算应力强度因子 |
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| 引用本文： | 郑冠雨,王辉. 基于基本解的杂交有限元法计算应力强度因子[J]. 郑州大学学报(工学版), 2011, 0(4) |
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| 作者姓名： | 郑冠雨 王辉 |
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| 作者单位： | 重庆大学土木工程学院;河南工业大学土木建筑学院; |
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| 摘 要： | 含有裂纹的工程结构的应力奇异性表征通常需要借助应力强度因子.结合位移外推法,采用基于单元边界积分的杂交有限元法给出了平面I型(张开型)裂纹的应力强度因子的计算方法.解析满足控制方程基本解的线性组合被用来近似表达单元内部的位移场和应力场,而普通的形函数插值则被用于近似表达单元边界位移场.二者通过杂交泛函联系起来,并且泛函中所有单元域积分被完全转化为单元边界积分.两个典型断裂问题的计算结果显示该方法具有精度高的优点,可以方便地用于断裂问题的应力强度因子计算.
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| 关 键 词： | 断裂力学 应力强度因子 基本解 杂交有限元法 |
Calculation of Stress Intensity Factor by Hybrid Finite Element Method Based on Fundamental Solutions Kernels |
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| ZHENG Guan-yu,WANG Hui. Calculation of Stress Intensity Factor by Hybrid Finite Element Method Based on Fundamental Solutions Kernels[J]. Journal of Zhengzhou University: Eng Sci, 2011, 0(4) |
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| Authors: | ZHENG Guan-yu WANG Hui |
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| Affiliation: | ZHENG Guan-yu1,WANG Hui2(1.School of Civil Engineering,Chongqing University,Chongqing 400030,China,2.School of civil Engineering and Architecture,Henan University of Technology,Zhengzhou 450052,China) |
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| Abstract: | Stress intensity factor is usually used to represent the stress singularity at tips of cracks embedded in engineering structures.With the displacement extrapolation method,the element-boundary integration-based hybrid finite element model is developed in the paper to determine the stress intensity factor for I-type cracks.In the hybrid formulation,the combination of fundamental solutions is used to approximate the element interior displacement and stress fields,while the conventional shape functions are emp... |
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| Keywords: | fracture mechanics stress intensity factor fundamental solution hybrid finite element method |
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