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Exact integration of constitutive equations in elasto‐plasticity
Author(s) -
Ristinmaa Matti,
Tryding Johan
Publication year - 1993
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.1620361503
Subject(s) - constitutive equation , isotropy , plasticity , von mises yield criterion , kinematics , exact solutions in general relativity , hardening (computing) , mathematics , numerical integration , mohr–coulomb theory , mathematical analysis , strain hardening exponent , classical mechanics , finite element method , physics , materials science , thermodynamics , composite material , quantum mechanics , layer (electronics)
A unified approach is presented for establishing exact integration of the constitutive equations in elastoplasticity, assuming the total strain‐rate direction to be constant. This unified approach includes all previous exact integration procedures as special cases and, in addition, some new closed‐form solutions are derived for combined kinematic and isotropic hardening. Special emphasis is laid on combined kinematic and isotropic hardening for von Mises' material and on isotropic hardening for Mohr‐Coulomb and Tresca materials.