Journal of Engineering Mechanics-ASCE, ( ISI ), Volume (136), No (12), Year (2010-12) , Pages (1502-1518)

Title : ( Application of Exponential-Based Methods in Integrating the Constitutive Equations with Multicomponent Nonlinear Kinematic Hardening )

Authors: Mohaamad Rezaiee Pajand , Cyrus Nasirai , Mehrzad Sharifian Torghabeh ,

Citation: BibTeX | EndNote

Abstract

The von-Mises plasticity model, in the small strain regime, along with a class of multicomponent nonlinear kinematic hardening rules is considered. The material is assumed to be stabilized after several load cycles and therefore, isotropic hardening will not be accounted for. Application of exponential-based methods in integrating plasticity equations is provided, which is based on defining an augmented stress vector and using exponential maps to solve a system of quasi-linear differential equations. The solutions obtained by this new technique give very accurate updated stress values that are consistent with the yield surface. The classical forward Euler method is reformulated in details and applied to the multicomponent form of the nonlinear kinematic hardening in order to provide a comparison for the suggested technique. Moreover, a consistent tangent operator for the exponential-based integration strategy and also for the classical forward Euler algorithm is presented. In order to show the robustness and performance of the proposed formulation, an extensive numerical investigation is carried out.

Keywords

, Exponential, based integration method; Nonlinear kinematic hardening; Cyclic plasticity; von, Mises plasticity model.
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@article{paperid:1020330,
author = {Rezaiee Pajand, Mohaamad and Cyrus Nasirai and Sharifian Torghabeh, Mehrzad},
title = {Application of Exponential-Based Methods in Integrating the Constitutive Equations with Multicomponent Nonlinear Kinematic Hardening},
journal = {Journal of Engineering Mechanics-ASCE},
year = {2010},
volume = {136},
number = {12},
month = {December},
issn = {0733-9399},
pages = {1502--1518},
numpages = {16},
keywords = {Exponential-based integration method; Nonlinear kinematic hardening; Cyclic plasticity; von-Mises plasticity model.},
}

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%0 Journal Article
%T Application of Exponential-Based Methods in Integrating the Constitutive Equations with Multicomponent Nonlinear Kinematic Hardening
%A Rezaiee Pajand, Mohaamad
%A Cyrus Nasirai
%A Sharifian Torghabeh, Mehrzad
%J Journal of Engineering Mechanics-ASCE
%@ 0733-9399
%D 2010

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