Numerical aspects of a non-proportional cyclic plasticity model under plane stress conditions
✍ Scribed by Stefan Hartmann; Marc Kamlah; Andreas Koch
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 289 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
The objective of this paper is the investigation of the in uence of a material model representing nonproportional 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, 1 contains linear isotropic elastic behaviour, a von Mises yield function, an associated ow rule, non-linear kinematic hardening of Armstrong and Frederick type, a modiÿed arc-length representation considering cyclic plasticity phenomena and the inclusion of non-proportional hardening e ects. These rate-independent constitutive equations are based on the assumption of small strains. The boundary-value problem will be solved by the ÿnite element method including investigations of a semi-analytical computation of the consistent tangent operator. Concluding examples will show non-proportional hardening e ects as well as inhomogenization phenomena stated by L uhrs and Haupt 2 for specimen under uniaxial cyclic loading.