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On the introduction of return mapping schemes in elasto-plastic finite element simulations for isotropic and kinematic hardening

Moosa Esmaeili*, Andreas ?chsner**

* School of Engineering, University of Aberdeen, UK.

** Deportment of Applied Mechanics, University of Technology of Malaysia, Malaysia.

Periodicity:November - January'2013
DOI : https://doi.org/10.26634/jme.3.1.2084

Abstract

Elasto-plastic constitutive equations are integrated in the framework of nonlinear finite element techniques based on so-called predictor corrector schemes. An Introduction of material nonlinearities (elasto-plastic behaviour) applied in the framework of finite element analysis. The restriction to the one-dimensional case facilities significantly the mathematical notation while the steps remain the same as in the general three dimensional cases. In addition, the entire solution procedure can be easily observed in the classical stress-strain diagram. The concept of the predictor corrector scheme is presented for the case of isotropic, kinematic and combined hardening. Numerical examples illustrate the influence of different boundary conditions for different hardening laws.

Keywords

Finite Element Method, Plasticity, Numerical Simulation, Predictor-Corrector Procedure, Return-Mapping Schemes, Isotropic Hardening, Kinematic Hardening.

How to Cite this Article?

Esmaeili, M. & ?chsner,A. (2013). On the introduction of return mapping schemes in elasto-plastic finite element simulations for isotropic and kinematic hardening. i-manager's Journal on Mechanical Engineering, 3(1), 17-29. https://doi.org/10.26634/jme.3.1.2084

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