| 应力强度因子计算的样条虚边界元法 |
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| 引用本文： | 苏成,郑淳.应力强度因子计算的样条虚边界元法[J].工程力学,2007,24(8):49-53. |
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| 作者姓名： | 苏成 郑淳 |
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| 作者单位： | 华南理工大学土木工程系,广州,510640;华南理工大学土木工程系,广州,510640 |
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| 摘 要： | 含有裂纹的工程结构在荷载作用时在裂纹尖端会产生应力奇异的现象,其严重的程度可用应力强度因子来表征。采用基于Kelvin基本解的样条虚边界元法,结合位移外推法,给出了断裂问题应力强度因子的求解方法。通过对两个典型断裂问题的分析,对边界子段与虚边界元的划分、小单元的采用以及拟合点位置的确定等关键问题展开了讨论,获得了相关计算参数的选取规律,为该法在断裂问题的进一步应用打下良好的基础。
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| 关 键 词： | 断裂力学 应力强度因子 样条虚边界元法 Kelvin基本解 位移外推法 |
| 文章编号： | 1000-4750（2007）08-0049-05 |
| 修稿时间： | 2005-12-212006-04-21 |
CALCULATION OF STRESS INTENSITY FACTORS BY SPLINE FICTITIOUS BOUNDARY ELEMENT METHOD |
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| SU Cheng,ZHENG Chun.CALCULATION OF STRESS INTENSITY FACTORS BY SPLINE FICTITIOUS BOUNDARY ELEMENT METHOD[J].Engineering Mechanics,2007,24(8):49-53. |
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| Authors: | SU Cheng ZHENG Chun |
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| Affiliation: | Department of Civil Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China |
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| Abstract: | Stress singularity occurs at tips of cracks embedded in engineering structures under loadings. The degree of singularity can be represented by stress intensity factors. Based on Kelvin’s fundamental solutions, the spline fictitious boundary element method, combined with the use of displacement extrapolation techniques, is proposed for calculation of stress intensity factors. The key issues in the calculation, including the discretization of boundary segments and fictitious boundary elements, the adoption of fine elements and the location of approximation points, are discussed through the analysis of two typical fracture problems. The choice principles are obtained for the calculation parameters involved. The present research work lays a sound foundation for further application of the proposed method to fracture problems. |
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| Keywords: | fracture mechanics stress intensity factors spline fictitious boundary element method Kelvin’s fundamental solutions displacement extrapolation techniques |
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