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断裂力学的相似边界元法及其应用
引用本文:彭妙娟,程玉民.断裂力学的相似边界元法及其应用[J].应用力学学报,2007,24(2):294-297.
作者姓名:彭妙娟  程玉民
作者单位:上海大学,200072,上海
摘    要:首先对弹性力学的相似边界元法进行了研究,推导了相应的计算公式。与传统的边界元法相比,相似边界元法由于只需在少数单元上进行数值积分,当边界单元数目较多时大大减少了计算量。在此基础上,将相似边界元法应用于断裂力学,对路面断裂力学问题进行了计算,与有限元法的结果比较,说明了本文方法在减少计算量的情况下仍能较好地保证精度。

关 键 词:边界元法  相似边界元法  弹性力学  断裂力学  应力强度因子
文章编号:1000-4939(2007)02-0294-04
收稿时间:2006-05-11
修稿时间:2006-10-06

Similar Boundary Element Method for Frature with Application
Peng Miaojuan,Cheng Yumin.Similar Boundary Element Method for Frature with Application[J].Chinese Journal of Applied Mechanics,2007,24(2):294-297.
Authors:Peng Miaojuan  Cheng Yumin
Abstract:Similar boundary element method (SBEM) for elasticity is discussed to obtain the corresponding formulae. A sub-domain of the boundary the numerical integrals only are carried out on a few boundary elements, and ones on all other boundary elements can be obtained by interpolation. Comparing with the conventional boundary element method, the SBEM enables to reduce the computing tasks obviously. The proposed SBEM is extendly applied to the pavement fracture.
Keywords:boundary element method  similar boundary element method  elasticity  fracture  stress intensity factor
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