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A new understanding of limit theorem (Lower/Upper Bound Theorem) and its application to stability analysis

Research Project

Project/Area Number 63550359
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 基礎・土質工学
Research InstitutionKanazawa University, Faculty of Technology

Principal Investigator

OHTA Hideki  Kanazawa University, Faculty of Technology, Professor, 工学部, 教授 (80026187)

Co-Investigator(Kenkyū-buntansha) NISHIHARA Akira  Fukuyama University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (90164574)
MATSUMOTO Tatsunori  Kanazawa University, Faculty of Technology, Instructor, 工学部, 助手 (10143877)
NISHIDA Yoshichika  Kanazawa University, Faculty of Technology, Professor, 工学部, 教授 (60019693)
Project Period (FY) 1988 – 1989
Project Status Completed (Fiscal Year 1989)
Budget Amount *help
¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1989: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1988: ¥700,000 (Direct Cost: ¥700,000)
Keywordslimit analysis / perfect plasticity / lower / upper bound theorem / non-associated flow rule / bearing capacity / undrained strength / anisotropy / slip lines / 構成方程式
Research Abstract

The bearing capacity of anisotropically consolidated clay is analyzed by the theory based on the limit theorem (Upper/Lower Bound Theorem) taking the effect of anisotropy of the undrained strength into account. Particularly, in this investigation, the limit theorem was generalized.
This generalization of the theory does not require the assumption of 'associated' flow rule. And then A method to search such admissible collapse mechanism was newly developed in this investigation. The limit analysis using this new method does not require the special technique to search the admissible collapse mechanism which is close to the exact solution. This method can form the admissible collapse mechanism without any artificial trial.
The variations of bearing capacity factors with Ko are given for various types of shear test. The bearing capacities calculated by the present theory show fairly good agreement with the experimental results. The undrained strength measured by shear tests should be corrected in connection with the strength anisotropy and the effect of shear rate when they are introduced in conventional stability analysis. The correction factors for strength anisotropy are given by using present theory for various kinds of test strength.

Report

(3 results)
  • 1989 Annual Research Report   Final Research Report Summary
  • 1988 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 太田秀樹: "破壊への道程ー新しい土質力学の体系を求めてー" 第34回土質工学シンポジウム発表論文集、土質工学会. 23-26 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Nishihara,A.and Ohta,H.: "Undrained bearing capacity of anisotropically consolidated clay" Proc.6th Numerical Methods in Geomechanics,Innsbruck. 1. 675-682 (1988)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Ohta,H.,Nishihara,A.,Iizuka,A.,Morita,Y. Fukagawa,R.and Arai,K.: "Unconfined compression strength of soft aged clays" Proc.12th International Conference of Soil Mechnics and Foundation Engineering.1. 71-74 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Nishihara, A. and Ohta, H.: "Undrained bearing capacity of anisotropically consolidated clay" Proc. 6th Numerical Methods in Geomechanics, Innsbruck, Vol.1, pp.675-682.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Ohta, H., Nishihara, A., Iizuka, A., Morita, Y., Fukagawa, R. and Arai, K.: "Unconfined compression strength of soft aged clays" Proc. 12th International Conference of Soil Mechanics and Foundation Engineering, Vol.1, pp.71-74.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] Ohta, H.: "approaches to the failure, ---- grope for new system of soil mechanics -----" Proc. 34th Symposium, JSSMFE pp.23-26, 1989.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1989 Final Research Report Summary
  • [Publications] 太田秀樹: "破壊への道程-新しい土質力学の体系を求めて-" 第34回土質工学シンポジウム発表論文集、土質工学会. 23-26 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Nishihara,A.and Ohta,H.: "Undrained bearing capacity of anisotropically consolidated clay" Proc.6th Numerical Methods in Geomechanics,Innsbruck. 1. 675-682 (1988)

    • Related Report
      1989 Annual Research Report
  • [Publications] Ohta,H.,Nishihara,A.,Iizuka,H.,Morita,Y.Fukagawa,R.and Arai,K.: "Unconfined compression strength of soft aged clays" Proc.12th International Conference of Soil Mechanics and Foundation Engineering. 1. 71-74 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Mikio,Shoji: Numerical Methods in Geomechanics. 1. 299-304 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Akira,Nshihara: Numerical Methods in Geomechanics. 1. 675-682 (1988)

    • Related Report
      1988 Annual Research Report
  • [Publications] Hideki,Ohta: Numerical Methods in Geomechanics. 3. 2043-2050 (1988)

    • Related Report
      1988 Annual Research Report

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Published: 1988-04-01   Modified: 2016-04-21  

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