| 横观各向同性材料三维裂纹问题的数值分析 |
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| 引用本文： | 陈梦成. 横观各向同性材料三维裂纹问题的数值分析[J]. 计算力学学报, 2009, 26(1): 109-113 |
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| 作者姓名： | 陈梦成 |
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| 作者单位： | 华东交通大学,土木工程学院,南昌,330013 |
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| 摘 要： | 严格从三维横观各向同性材料弹性空间问题的Green函数出发,采用Hadamard有限部积分概念,导出了三维状态下单位位移间断(位错)集度的基本解.在此基础上,将三维任意形状的片状裂纹问题归结为求解-组以未知位移间断表示的超奇异积分方程;并给出了边界元离散形式.对方程中出现的超奇异积分,采用了Had-alnard定义的有限部积分来处理.论文最后给出了若干典型片状裂纹问题的数值算例,数值结果表明了本文方法是非常有效的.
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| 关 键 词： | 横观各向同性 弹性体 三维片状裂纹,超奇异积分方程 边界元 |
| 收稿时间： | 2006-10-30 |
Three-dimensional numerical analysis of cracks in transversely isotropic materials |
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| CHEN Meng-cheng. Three-dimensional numerical analysis of cracks in transversely isotropic materials[J]. Chinese Journal of Computational Mechanics, 2009, 26(1): 109-113 |
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| Authors: | CHEN Meng-cheng |
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| Affiliation: | School of Civil Engineering;East China Jiaotong University;Nanchang 330013;China |
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| Abstract: | In this paper,started rigorously from Green functions for elastic space problems of transversely isotropic materials,the fundamental solutions for a displacement-jump(dislocation) were derived by Hadamard's finite-part integral concepts.Subsequently,the problem of a three-dimensional planar crack with arbitrary shape in an infinite transversely isotropic solid was reduced to the solution of a set of hyper-singular integral equations with unknown displacement jumps.Discretization of the boundary element meth... |
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| Keywords: | transversely isotropic material elasticity threedimensional crack problem hypersingular integral equation boundary element method |
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