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An efficient implementation of stress resultant plasticity in analysis of Reissner‐Mindlin plates
Author(s) -
Ibrahimbegović Adnan,
Frey François
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620360209
Subject(s) - computation , stress resultants , plasticity , scalar (mathematics) , singularity , mathematics , finite element method , mathematical analysis , constitutive equation , stress (linguistics) , structural engineering , engineering , geometry , materials science , algorithm , composite material , linguistics , philosophy
An efficient solution procedure for elasto‐plastic analysis of Reissner‐Mindlin plates has been proposed in this work. The main ingredients which render efficiency are: what appears to be an optimally tuned four‐node plate element with assumed shear strains and incompatible bending modes; an elasto‐plastic constitutive model given directly in terms of stress resultants; and efficient computation of plastic flow which simplifies to a solution of a single scalar equation and remaining state update computation. The performance of the element has been proved very satisfying in both elastic singularity‐dominated and elasto‐plastic problems.