Premium
CONSISTENT LINEARIZATION FOR THE EXACT STRESS UPDATE OF PRANDTL–REUSS NON‐HARDENING ELASTOPLASTIC MODELS
Author(s) -
WEI Z.,
PERIĆ D.,
OWEN D. R. J.
Publication year - 1996
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/(sici)1097-0207(19960415)39:7<1219::aid-nme901>3.0.co;2-7
Subject(s) - linearization , prandtl number , mathematics , quadratic equation , torsion (gastropod) , modulus , convergence (economics) , hardening (computing) , mathematical analysis , nonlinear system , convection , mechanics , materials science , physics , geometry , layer (electronics) , quantum mechanics , composite material , medicine , surgery , economics , economic growth
This paper presents a consistent algorithm, which combines the advantages of the exact time integration of Prandtl–Reuss elastoplastic models and the quadratic asymptotic convergence of Newton–Raphson iteration strategies. The consistent modulus is evaluated by a full linearization of the exact stress update procedure. Numerical tests for a thin wall tube subjected to combined loads of tension and torsion are performed to illustrate the accuracy and efficiency of the consistently linearized exact stress update algorithm described in the paper. For comparison purpose numerical results of the radial return method are also given.