Affiliation:
1. Aix-Marseille University, CNRS, Centrale Marseille, LMA, F-13453MarseilleCedex 13, France
Abstract
AbstractThe return mapping algorithms (RMAs) presented here are designed for use with pressure-dependent thermoviscoplastic constitutive models involving irreversible effects associated with solid–solid phase transformations. During the volume solid–solid phase transformations occurring under mechanical loads, an “anomalous” plasticity, the so-called “TRansformation Induced Plasticity” (TRIP), is generated at much lower stress levels than those related to the yield stress of the material in the context of the classical plasticity. TRIP mechanisms are superimposed on the classical plasticity which is liable to occur in the case of metallic materials. Based on a non-standard generalized material framework, two different models are presented in which an “associative” plastic flow is introduced in the context of classical plasticity and a “non-associative” flow rule in the context of TRIP-like plasticity. In this paper, a complete algorithmic treatment of these two rate-dependent constitutive models is therefore proposed with the associated consistent tangent operator for dealing the quasi-surface irreversible solid–solid transformations which can appear in metal alloys during specific thermomechanical solicitations. The predictive abilities of the presented numerical procedure for modelling this kind of the irreversible solid–solid transformations involving two plasticity processes are tested and assessed by performing a two-dimensional finite-element analysis on some numerical examples.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference96 articles.
1. B-Stability and symmetry preserving return mapping algorithms in plasticity and viscoplasticity;Numer Int. J Eng Methods,1991
2. Implicit BEM formulations for usual and sensitivity problems in elasto-plasticity using the consistent tangent operator concept;Solids Struct Int. J,1996
3. On the numerical integration of a class of pressure-dependent plasticity models;Int. J. Numer. Meth. Eng.,1987
4. A return mapping algorithm for plane stress elastoplasticity;Int. J. Numer. Methods Eng.,1986
5. Computational coupled non-associative thermoplasticity;Comput. Meth. Appl. Mech. Eng.,1991
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献