| 断裂力学问题的杂交边界点方法 |
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| 引用本文： | 苗雨,张澄,王元汉.断裂力学问题的杂交边界点方法[J].固体力学学报,2009,30(2). |
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| 作者姓名： | 苗雨 张澄 王元汉 |
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| 作者单位： | 华中科技大学土木工程与力学学院,武汉,430074 |
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| 摘 要： | 提出了一种求解断裂力学的新的边界类型无网格方法-杂交边界点法.以修正变分原理和移动最小二乘近似为基础,同时具有边界元法和无网格法的优良特性,求解时仅仅需要边界上离散点的信息.该文将杂交边界点方法应用到弹性断裂问题中,将移动最小二乘方法中的基函数扩充,能更好的模拟裂纹尖端应力场的奇异性,推导了求解断裂力学的杂交边界点法方程,与传统的元网格方法相比,文中方法具有后处理简单,计算精度高的优点.数值算例表明了该方法的稳定性和有效性.
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| 关 键 词： | 断裂力学 杂交边界点法 移动最小二乘 修正变分原理 |
STUDY ON THE HYBRID BOUNDARY NODE METHOD IN FRACTURE MECHANICS |
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| Yu Miao,Cheng Zhang,Yuanhan Wang.STUDY ON THE HYBRID BOUNDARY NODE METHOD IN FRACTURE MECHANICS[J].Acta Mechnica Solida Sinica,2009,30(2). |
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| Authors: | Yu Miao Cheng Zhang Yuanhan Wang |
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| Institution: | School of Civil Engineering and Mechanics;Huazhong University of Science and Technology;Wuhan;430074 |
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| Abstract: | A boundary-type meshless method,named hybrid boundary node method(Hybrid BNM),is proposed for solving fracture mechanics problems in this paper,which is based on the modified variational principle and moving least square(MLS) approximation.This method possesses the advantages of both BEM and meshless methods.Only random distributed nodal points on the boundary of the domain under consideration are required.In this paper,the Hybrid BNM is applied in fracture mechanics.Expansion of the basis functions is cond... |
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| Keywords: | fracture mechanics hybrid boundary node method moving least square modified variational principle |
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