| 有宽限板应力强度因子计算的无网格法 |
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| 引用本文： | 仝兴华,刘佳莉,署恒木.有宽限板应力强度因子计算的无网格法[J].青岛大学学报(自然科学版),2008,21(2):26-31. |
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| 作者姓名： | 仝兴华 刘佳莉 署恒木 |
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| 作者单位： | 中国石油大学(华东)储建及民用工程学院工程力学系,山东,东营,257061 |
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| 摘 要： | 采用全局径向基函数和移动最小二乘近似两种近似函数对平面线弹性断裂力学进行数值计算，用移动最小二乘近似时，选取一种新型的权函数-正态权函数，计算出两条平行裂纹和”条平行周期性裂纹的应力强度因子及其修正系数。与有限元法相比这一方法较具有较高的精度；并验证了采用全局径向基函数近似不能准确的模拟裂纹尖端应力场的奇异性。
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| 关 键 词： | 近似函数 应力强度因子 平行裂纹 |
Calculation of Stress Intensity Factor for Finite Plane by Element free Method |
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| TONG Xing-hua,LIU Jia-li,SHU Heng-mu.Calculation of Stress Intensity Factor for Finite Plane by Element free Method[J].Journal of Qingdao University(Natural Science Edition),2008,21(2):26-31. |
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| Authors: | TONG Xing-hua LIU Jia-li SHU Heng-mu |
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| Institution: | (Department of Engineering Mechanics, College of Transport ＆ Storage and Civil Engineering, China University of Petroleum, Dongying 257061 China) |
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| Abstract: | The radial basis function（RBF） and the modified moving least square（MLS） approximation are given for numerical calculation of plane linear elastic fracture mechanics. Using the modified moving least square（MLS） approximation, with a new weighting function--state power function to simulate the finite plane with two parallel cracks and n parallel cracks. Comparing with the finite element results, the numerical examples show that the present implementation effectively computes the stress intensity factors and the correction factors. However, the radial basis function（RBF） is not an accurate approximation to simulate the singular stress field of the crack tip. |
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| Keywords: | Approximate function Stress intensity factor Parallel cracks |
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