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Non‐linear analysis for anisotropic materials
Author(s) -
Valliappan S.,
Boonlaulohr P.,
Lee I. K.
Publication year - 1976
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.1620100309
Subject(s) - von mises yield criterion , quadrilateral , anisotropy , finite element method , quadratic equation , mathematics , work (physics) , yield (engineering) , hardening (computing) , numerical analysis , mathematical analysis , structural engineering , materials science , geometry , engineering , mechanical engineering , composite material , physics , layer (electronics) , quantum mechanics
Abstract An elasto‐plastic analysis of anisotropic work‐hardening materials, using the finite element method is presented. The analysis is based on the generalized Huber‐Mises yield criterion extended by Hill for anisotropic materials. General expressions for the anisotropic parameters in the yield criterion have been derived both for initial yielding as well as subsequent yielding in the case of work‐hardening materials. The isoparametric ‘quadratic’ quadrilateral elements have been used for the analysis and the ‘initial stress technique’ has been adopted for the iterative solution of the non‐linear problems. The results of the various numerical examples have been compared with the available solutions.