Implicit plane stress algorithm for multilayer  J  2 ‐plasticity using the Prager–Ziegler translation rule | Zendy

Montáns Francisco J. | Zendy

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Implicit plane stress algorithm for multilayer J 2 ‐plasticity using the Prager–Ziegler translation rule

Author(s) -

Montáns Francisco J.

Publication year - 2003

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.885

Subject(s) - plasticity , plane stress , mathematics , tangent , plane (geometry) , stress (linguistics) , moduli , convergence (economics) , translation (biology) , extension (predicate logic) , algorithm , mathematical analysis , geometry , computer science , finite element method , structural engineering , materials science , physics , engineering , philosophy , economic growth , linguistics , chemistry , biochemistry , quantum mechanics , messenger rna , economics , gene , composite material , programming language

A totally implicit algorithm for plane stress multilayer plasticity is presented. The algorithm presents the plane stress version of the 3D/plane strain model for multilayer plasticity presented in a previous work. As in the 3D/plane strain case, the model is consistent with the principle of maximum dissipation and it may be considered as an extension of classical J 2 ‐plasticity for anisotropic non‐linear kinematic behaviour preserving Masing's rules. In order to obtain the asymptotic second‐order convergence of the Newton algorithm, the consistent tangent moduli are also given. Copyright © 2003 John Wiley & Sons, Ltd.

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