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ORIGINAL PAPER
An Alternative Material Model Using a Generalized J2 Finite-Strain Flow Plasticity Theory with Isotropic Hardening
1
Slovak University of Technology in Bratislava, Námestie slobody 17, 812 31 , Bratislava, Slovakia
Online publication date: 2018-06-04
Publication date: 2018-05-01
International Journal of Applied Mechanics and Engineering 2018;23(2):339-353
KEYWORDS
nonlinear continuum theory of finite deformations of elasto-plastic mediageneralized J2 flow plasticity theory with isotropic hardeningobjective and thermodynamically consistent formulation
ABSTRACT
In this paper an alternative material model using a generalized J2 finite-strain flow plasticity theory with isotropic hardening is presented. The model is based on a new nonlinear continuum mechanical theory of finite deformations of elasto-plastic media which allows for the development of objective and thermodynamically consistent material models. As a result, the constitutive equation, the evolution equation and even the ‘normality rule’, characterising the plastic flow in the material during return mapping, can be expressed in various forms, using several instances of the yield surface and corresponding pairs of stress measures and strain rates, respectively, which are conjugate with respect to the internal mechanical power and its arbitrary higher order time derivative. Therefore the results of the material model when used in numerical analyses are not affected by the description and particularities of the material model formulation. Here, we briefly outline the nonlinear continuum theory along with a detailed description of the material model and finally present the model in a numerical example using a cross-shaped specimen in biaxial tension.
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