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The ‘effective‐stress‐function’ algorithm for thermo‐elasto‐plasticity and creep
Author(s) -
Kojić Miloš,
Bathe KlausJürgen
Publication year - 1987
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.1620240808
Subject(s) - creep , stress (linguistics) , plasticity , tangent stiffness matrix , finite element method , function (biology) , effective stress , tangent , constitutive equation , stiffness matrix , mathematics , materials science , structural engineering , engineering , geometry , composite material , geotechnical engineering , biology , philosophy , linguistics , evolutionary biology
An algorithm for stable and accurate computations of stresses in finite element thermo‐elastic‐plastic and creep analysis of metals is presented. The effective‐stress‐function algorithm solves the governing equations of the inelastic constitutive behaviour by calculating the zero of the appropriate effective‐stress‐function: a functional relationship which involves as unknown only the effective stress. The derivation of the effective‐stress‐function for thermo‐elasto‐plasticity conditions, including creep, for 2‐D and 3‐D analysis is presented, and the algorithmic steps of the stress solution are discussed. For use in the stiffness matrix a tangent material stress–strain relationship is evaluated consistent with the effective‐stress‐function algorithm. The solution of some demonstrative problems shows the effectiveness of the solution procedure.