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Elastic-plastic modeling of the hardening materials based on an Eulerian strain tensor and a proper corotational rate

Naghdabadi, R ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1115/PVP2005-71445
  3. Publisher: 2005
  4. Abstract:
  5. In this paper a model for analyzing elastic-plastic kinematic hardening materials is introduced, based on the additive decomposition of the corotational rate of an Eulerian strain tensor In this model, the elastic constitutive equation as well as the flow rule and the hardening equation is expressed in terms of the elastic and plastic parts of the corotational rate of the mentioned Eulerian strain tensor and its conjugate stress tensor. In the flow rule, the plastic part of the corotational rate of the Eulerian strain tensor is related to the difference of the deviatoric part of the conjugate stress and the back stress tensors. A proportionality factor is used in this flow rule which must be obtained from a consistency condition based on the von Mises yield criterion. A Prager type kinematic hardening model is used which relates the corotational rate of the back stress tensor to the plastic part of the corotational rate of the Eulerian strain tensor. Also in this paper a proper corotational rate corresponding to the Eulerian strain tensor is introduced. Finally the governing equations for the analysis of elastic-plastic kinematic hardening materials are obtained. As an application, these governing equations are solved numerically for the simple shear problem and the stress and back stress components are plotted versus the shear displacement. The results are compared with those, which are available in the literature. Copyright © 2005 by ASME
  6. Keywords:
  7. Additive decomposition ; Corotational rate ; Elastic-plastic ; Kinematic hardening ; Large deformation ; Elasticity ; Mathematical models ; Problem solving ; Strain ; Stress analysis ; Hardening
  8. Source: 2005 ASME Pressure Vessels and Piping Conference, PVP2005, Denver, CO, 17 July 2005 through 21 July 2005 ; Volume 2 , 2005 , Pages 201-206 ; 0277027X (ISSN)
  9. URL: https://asmedigitalcollection.asme.org/PVP/proceedings-abstract/PVP2005/41871/201/308673