The Linear Matching Method for Limit Loads, Shakedown Limits and Ratchet Limits

  • A.R.S. Ponter

Abstract

The paper describes the application of the Linear Matching Method to the direct evaluation of limits associated with an elastic-perfectly plastic body subjected to cyclic loading. Methods for limit load and shakedown limit are followed by ratchet limits. The method is distinguished from other programming methods by ensuring that equilibrium and compatibility are satisfied at each stage. The method has been extended beyond the range of most other direct methods by including ratchet limits and high temperature material behaviour. Implementation is possible within the user routines of commercial finite element codes. The paper emphasise the theoretical characteristics of the method and discusses significant aspects of convergence, both theoretical and numerical. The application of the method to industrial Life Assessment problems and to geotechnical problems is summarized.

Keywords

Fatigue Compressibility Rium Nite Alan 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • A.R.S. Ponter
    • 1
  1. 1.Department of EngineeringUniversity of LeicesterUK

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