CONSISTENT LINEARIZATION FOR THE EXACT STRESS UPDATE OF PRANDTL-REUSS NON-HARDENING ELASTOPLASTIC MODELS

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 stre...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 39; no. 7; pp. 1219 - 1235
Main Authors: WEI, Z., PERIĆ, D., OWEN, D. R. J.
Format: Journal Article
Language:English
Published: New York John Wiley & Sons, Ltd 15.04.1996
Subjects:
consistent linearization
finite elements
numerical integration algorithms
plasticity
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary: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.
Bibliography:State Education Commission of China
British Council of United Kingdom
istex:86AF966F1F81DA63473C57E6F6D1CE3C0CE5E6F7
ArticleID:NME901
ark:/67375/WNG-F19CRD2G-H
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/(SICI)1097-0207(19960415)39:7<1219::AID-NME901>3.0.CO;2-7