Development and Progress of the Discrete Method of Limit Analysis Using “Rigid Bodies — Spring Models”

  • T. Kawai
  • N. Takeuchi
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 54)


In order to break through bottleneck of finite element nonlinear analysis in solid mechanics, the first author (Kawai, 1977) proposed a family of new simplified element basing on the experimental evidence of solids under the ultimate state of loading in 1977. Since then a series of verification studies have been made in steel structures successfully.


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  1. Kawai,T. (1977) New element models in discrete structural analysis, J. of the Society of Naval Architects of Japan, 141, 187–193Google Scholar
  2. Takeuchi,N and Kawai,T. (1987) A discrete limit analysis of granular materials including effects of the solid contact, US-JAPAN seminer “Micromchanics of Granular Materials”, SENDAI, 116–125Google Scholar
  3. Yamada, Y., Yoshimura, N. and Sakurai, T. (1968) Plastic stress-strain matrix and its application for the solution of elasto-plastic problems by the finite element method, Int J. Mechanical Science, 10,343–354MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • T. Kawai
    • 1
  • N. Takeuchi
    • 2
  1. 1.Science University of TokyoTokyoJapan
  2. 2.Meisei UniversityTokyoJapan

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