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A consistent formulation for the integration of combined plasticity and creep
Author(s) -
Duxbury Paul,
Crook Tony,
Lyons Paul
Publication year - 1994
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.1620370803
Subject(s) - creep , tangent , convergence (economics) , plasticity , quadratic equation , mathematics , context (archaeology) , scalar (mathematics) , computer science , mathematical optimization , point (geometry) , algorithm , geometry , materials science , economics , composite material , biology , economic growth , paleontology
Within the context of the consistent tangent update, this paper outlines a stress update algorithm for combined creep and plasticity. The algorithm is implicit, providing unconditional stability, and utilizes local Newton iteration to solve SCALAR forms of the coupled constitutive equations for the creep and plastic strain increments. The tangent for the local iteration is obtained accurately providing quadratic convergence at the Gauss point level. Quadratic convergence of the global iteration procedure is also maintained using an explicitly derived consistent tangent for combined plasticity and creep. Further, combination with an automatic time‐stepping scheme provides an efficient, stable, accurate and robust computational algorithm. The algorithm has been implemented in the general purpose FE package LUSAS 1 .