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Implicit multilayer J 2 ‐plasticity using Prager's translation rule
Author(s) -
Montáns Francisco Javier
Publication year - 2000
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 - 10.1002/1097-0207(20010120)50:2<347::aid-nme28>3.0.co;2-q
Subject(s) - tangent , plasticity , kinematics , robustness (evolution) , hardening (computing) , mathematics , translation (biology) , computer science , algorithm , bounding overwatch , geometry , artificial intelligence , classical mechanics , physics , materials science , biochemistry , chemistry , layer (electronics) , messenger rna , gene , composite material , thermodynamics
In this paper a multilayer J 2 ‐plasticity model that uses Prager's translation rule for the yield surface and a modified kinematic hardening for the hardening surfaces that avoids their overlapping is developed. An implicit algorithm for the model and the consistent elastoplastic tangent are also formulated in order to obtain second‐order convergence in Newton algorithms. The multiaxial behaviour of the resulting discrete model is compared to that of a virtual bounding surface model and to that of a multilayer implicit one based on Mróz's kinematic rule. The algorithm is also applied to soil dynamics to show its robustness. Copyright © 2001 John Wiley & Sons, Ltd.