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An eulerian multiplicative constitutive model of finite elastoplasticity

Heidari, M ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1016/j.euromechsol.2009.05.002
  3. Publisher: 2009
  4. Abstract:
  5. An Eulerian rate-independent constitutive model for isotropic materials undergoing finite elastoplastic deformation is formulated. Entirely fulfilling the multiplicative decomposition of the deformation gradient, a constitutive equation and the coupled elastoplastic spin of the objective corotational rate therein are explicitly derived. For the purely elastic deformation, the model degenerates into a hypoelastic-type equation with the Green-Naghdi rate. For the small elastic- and rigid-plastic deformations, the model converges to the widely-used additive model where the Jaumann rate is used. Finally, as an illustration, using a combined exponential isotropic-nonlinear kinematic hardening pattern, the finite simple shear deformation is analyzed and a comparison is made with the experimental findings in the literature. © 2009 Elsevier Masson SAS
  6. Keywords:
  7. Additive models ; Constitutive behavior ; Corotational rate ; Corotational rates ; Deformation gradients ; Elastic-plastic material ; Elasto-plastic ; Elastoplastic deformation ; Eulerian ; Finite strain ; Green-Naghdi rates ; Isotropic materials ; Jaumann rates ; Multiplicative decomposition ; Nonlinear kinematic hardening ; Constitutive models ; Deformation ; Plastics ; Strain rate ; Elastoplasticity
  8. Source: European Journal of Mechanics, A/Solids ; Volume 28, Issue 6 , 2009 , Pages 1088-1097 ; 09977538 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S099775380900062X