An Alternative Material Model Using a Generalized J2 Finite-Strain Flow Plasticity Theory with Isotropic Hardening

Autor: L. Écsi, P. Élesztős
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: International Journal of Applied Mechanics and Engineering, Vol 23, Iss 2, Pp 339-353 (2018)
Druh dokumentu: article
ISSN: 1734-4492
2353-9003
DOI: 10.2478/ijame-2018-0019
Popis: 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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