An Eulerian multiplicative constitutive model of finite elastoplasticity |
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Authors: | Mahdi Heidari Abolhassan Vafai Chandra Desai |
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Institution: | aDepartment of Civil Engineering, Sharif University of Technology, P.O. Box 11365-8639, Tehran, Iran;bDepartment of Civil Engineering and Engineering Mechanics, University of Arizona, AZ 85721, Tucson, USA |
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Abstract: | 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. |
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Keywords: | Finite strain Elastic-plastic material Constitutive behavior Corotational rate |
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