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Numerical aspects of a non‐proportional cyclic plasticity model under plane stress conditions
Author(s) -
Hartmann Stefan,
Kamlah Marc,
Koch Andreas
Publication year - 1998
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/(sici)1097-0207(19980830)42:8<1477::aid-nme439>3.0.co;2-o
Subject(s) - plasticity , von mises yield criterion , tangent , boundary value problem , isotropy , finite element method , hardening (computing) , mathematics , computation , plane stress , constitutive equation , mathematical analysis , mechanics , geometry , materials science , structural engineering , physics , engineering , algorithm , composite material , layer (electronics) , quantum mechanics
The objective of this paper is the investigation of the influence of a material model representing non‐proportional loading conditions with respect to cyclic plasticity phenomena on several plane boundary‐value problems and the development of the corresponding stress algorithm. This material model, developed by Haupt and Kamlah, contains linear isotropic elastic behaviour, a von Mises yield function, an associated flow rule, non‐linear kinematic hardening of Armstrong and Frederick type, a modified arc‐length representation considering cyclic plasticity phenomena and the inclusion of non‐proportional hardening effects. These rate‐independent constitutive equations are based on the assumption of small strains. The boundary‐value problem will be solved by the finite element method including investigations of a semi‐analytical computation of the consistent tangent operator. Concluding examples will show non‐proportional hardening effects as well as inhomogenization phenomena stated by Lührs and Haupt for specimen under uniaxial cyclic loading. © 1998 John Wiley & Sons, Ltd.