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Incremental elastoplastic stiffness matrix for materials obeying the principal stress yield criterion
Author(s) -
Fo O. J. A. Goncalves,
Owen D. R. J.
Publication year - 1984
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.1620200810
Subject(s) - plasticity , context (archaeology) , yield (engineering) , von mises yield criterion , stiffness , singularity , matrix (chemical analysis) , mathematics , yield surface , work (physics) , stress (linguistics) , stiffness matrix , principal stress , mathematical analysis , structural engineering , constitutive equation , materials science , finite element method , engineering , composite material , cauchy stress tensor , physics , thermodynamics , geology , paleontology , linguistics , philosophy
In this work, the plastic stress–strain relation and the incremental elastoplastic stiffness matrix for materials obeying the principal stress yield criterion are derived in the context of the associated theory of plasticity. Particular attention is paid to the treatment of the singularity conditions associated with this yield criterion.