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Analytics study on the problem of two holes having arbitrary shapes and arrangements in plane elastostatics

  • Zhang LuqingEmail author
  • Yang Zhifa
  • Lü Aizhong
Article

Abstract

By using Schwarz alternating method, this paper presents a simplified alternating algorithm for the problems of two holes having arbitrary shapes and arrangements in an isotropic homogeneous linear elastic infinite region, and obtains stress and displacement fields for random times of iteration. After precision analysis it is found that the results for twenty times of iteration are of very high precision, and those with higher precision can be acquired if the iteration solving is further conducted. The comparison of the results from FEM further proves the reliability of the simplified alternating algorithm presented by this paper.

Keywords

Schwarz alternating method two holes having arbitrary shapes arbitrary arrangements simplified alternating algorithm iteration stress field displacement field precision analysis 

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Copyright information

© Science in China Press 2001

Authors and Affiliations

  1. 1.Engineering Geomechanics Laboratory Institute of Geology and GeophysicsChinese Academy of SciencesBeijingChina
  2. 2.Shandong University of Science and TechnologyTai’anChina

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