×

A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation. (English) Zbl 1038.74013

In order to determine precisely the large strain behaviour in cyclic plastic range of some steel and aluminium sheets and to examine the small scale re-yielding after large prestrain, the authors propose a new equation of back stress evolution for an accurate simulation of transient Bauschinger effect. A non-isotropic hardening surface in the stress space allows a correct description of work hardening stagnation under reversed deformation as well as the dependence of stress and strain on cyclic hardening. The resulted model can also predict normal stress-strain curves under large reverse deformation, and smooth elastic-plastic transitions. The model also allows a direct identification of material parameters, being highly flexible in describing several types of stress-strain curves including the yield-plateau phenomenon nearby the initial yielding. Besides, explanatory figures illustrate the variation of stress-strain relations in experiments, and present the results of simulations of isotropic and non-isotropic hardening.

MSC:

74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74E10 Anisotropy in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI