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多孔直杆扭转问题的边界元法
引用本文:李瑞遐.多孔直杆扭转问题的边界元法[J].华东理工大学学报(自然科学版),1995,21(5):640-647.
作者姓名:李瑞遐
作者单位:华东理工大学数学系
摘    要:讨论了用边界元法解多孔直杆弹性扭转问题,证明了求具有等值面边界条件的非局部边值问题的解与求对应的边界积分方程的解是等价的,并将计算中出现的区域积分全部化为边界积分,从而减少了所需准备的初始数据和计算时间。

关 键 词:多孔直杆  弹性扭转    边界元法  扭转

Boundary Element Methods for Elastic Torsion of Multihole Bars
Li Ruixia.Boundary Element Methods for Elastic Torsion of Multihole Bars[J].Journal of East China University of Science and Technology,1995,21(5):640-647.
Authors:Li Ruixia
Abstract:The author discusses the boundary element method (BEM )for the problem of elastic torsion of the multihole bars, and proves that finding the solution of the nonlocal boundary value problem is equivalent of finding the solution of the corresponding boundary integral equation. The integrals over the region are transformed into the ones along its boundaries so that the data to be prepared and the time in computation are reduced.
Keywords:boundary rule  `boundary-value problem  multihole bars  elastic torsion  nonlocal boundary value problem  boundary integral equation  boundary element method  
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