Numerical implementation of a model with directional distortional hardening

0445966 - ÚT 2016 RIV US eng J - Journal Article
Marek, René - Plešek, Jiří - Hrubý, Zbyněk - Parma, Slavomír - Feigenbaum, H. P. - Dafalias, Y.F.
Numerical implementation of a model with directional distortional hardening.
Journal of Engineering Mechanics-Asce. Roč. 141, č. 12 (2015), 04015048-04015048. ISSN 0733-9399. E-ISSN 1943-7889
R&D Projects: GA MŠMT LH14018; GA ČR(CZ) GA15-20666S
Institutional support: RVO:61388998
Keywords : plasticity * directional distortional hardening * finite-element procedures
Subject RIV: JG - Metallurgy
Impact factor: 1.346, year: 2015
http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000954

The presented work outlines and tests a finite-element (FE) implementation of a simple directional distortional hardening model. The evolution equations of internal variables are based on the Armstrong–Frederick evanescent memory-type hardening rule, and the associative flow rule is adopted. The directional distortion of the yield function is governed by the contraction of the backstress tensor with the so-called unit radial tensor, and incorporates a fixed scalar distortional parameter. Therefore, the variety of possible shapes of predicted subsequent yield surfaces is limited. The tangent stiffness–radial corrector method with fine subincrementation is used. This implementation is verified by comparing numerical results with analytical solutions pertinent to proportional load cases and semianalytical solutions for nonproportional loadings. The template of the whole implementation is included in the Appendix.
Permanent Link: http://hdl.handle.net/11104/0252776