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Corotational analysis of elastic-plastic hardening materials based on different kinematic decompositions

Ghavam, K ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1115/PVP2006-ICPVT-11-93442
  3. Publisher: 2006
  4. Abstract:
  5. In this paper, two corotational modeling for elastic-plastic, mixed hardening materials at finite deformations are introduced. In these models, the additive decomposition of the strain rate tensor as well as the multiplicative decomposition of the deformation gradient tensor is used. For this purpose, corotational constitutive equations are derived for elastic-plastic hardening materials with the non-linear Armstrong-Frederick kinematic hardening and isotropic hardening models. As an application of the proposed constitutive modeling, the governing equations are solved numerically for the simple shear problem with different corotational rates and the stress components are plotted versus the shear displacement. The results for stress, using the additive and the multiplicative decompositions are compared with those obtained experimentally by Ishikawa [1]. This comparison shows a good agreement between the proposed theoretical models and the experimental data. As another example, the Prager kinematic hardening equation is used instead of the Armstrong-Frederick model. In this case the results for stress are compared with the theoretical results of Bruhns et al. [2]. Copyright © 2006 by ASME
  6. Keywords:
  7. Corotational rates ; Finite deformations ; Isotropic hardening ; Kinematic decomposition ; Hardening ; Kinematics ; Problem solving ; Shear deformation ; Strain rate ; Stresses ; Plastic products
  8. Source: ASME PVP2006/ICPVT-11 Conference, Vancouver, BC, 23 July 2006 through 27 July 2006 ; Volume 2006 , 2006 ; 0277027X (ISSN) ; 0791837823 (ISBN); 9780791837825 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/PVP/proceedings-abstract/PVP2006-ICPVT-11/47543/727/364058