Study on an evaluation method of permanent deformation by the use of a direct method

Direct methods are to estimate a load factor and a displacement field at the ultimate limit state or shakedown limit state by the use of limit theorems, the shakedown theorems or other energy principles, instead of the evolutionary method which is a step by step elasto-plastic calculation in the tim...

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Bibliographic Details
Published inJournal of applied mechanics Vol. 7; pp. 535 - 542
Main Author KOBAYASHI, Shun-ichi
Format Journal Article
LanguageEnglish
Published Japan Society of Civil Engineers 2004
Subjects
direct method
limit analysis
permanent deformation
shakedown analysis
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ISSN1345-9139
1884-832X
DOI10.2208/journalam.7.535

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Summary:Direct methods are to estimate a load factor and a displacement field at the ultimate limit state or shakedown limit state by the use of limit theorems, the shakedown theorems or other energy principles, instead of the evolutionary method which is a step by step elasto-plastic calculation in the time domain. A mathematical and mechanical structure of a direct method for the estimation of permanent deformation under the repeated loads based on the minimisation of the complementary elastic strain energy is investigated in this paper. A methodology is similar to the author's research works on the hybrid type limit / shakedown analysis alogorithms. From the point of Lagrangian duality theory, both static and kinematic analyses are derived from the proposed Lagrangian. Characteristics of the proposed method are also discussed
ISSN:1345-9139
1884-832X
DOI:10.2208/journalam.7.535