ISSN:
0029-5981
Keywords:
finite elements
;
cyclic plasticity
;
non-radiality
;
non-linear kinematic hardening
;
stress algorithm
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
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.
Additional Material:
12 Ill.
Type of Medium:
Electronic Resource
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