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A numerical study of hypoelastic and hyperelastic large strain viscoplastic Perzyna type models

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Abstract

For the case of metals with large viscoplastic strains, it is necessary to define appropriate constitutive models in order to obtain reliable results from the simulations. In this paper, two large strain viscoplastic Perzyna type models are considered. The first constitutive model has been proposed by Ponthot, and the elastic response is based on hypoelasticity. In this case, the kinematics of the constitutive model is based on the additive decomposition of the rate deformation tensor. The second constitutive model has been proposed by García Garino et al., and the elastic response is based on hyperelasticity. In this case, the kinematics of the constitutive model is based on the multiplicative decomposition of the deformation gradient tensor. In both cases, the resultant numerical models have been implemented in updated Lagrangian formulation. In this work, global and local numerical results of the mechanical response of both constitutive models are analyzed and discussed. To this end, numerical experiments are performed and different parameters of the constitutive models are tested in order to study the sensitivity of the resultant algorithms. In particular, the evolution of the reaction forces, the effective plastic strain, the deformed shapes and the sensitivity of the numerical results to the finite element mesh discretization have been compared and analyzed. The obtained results show that both models have a very good agreement and represent very well the characteristic of the viscoplastic constitutive model.

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Authors and Affiliations

  1. Facultad de Ingeniería and ITIC, Universidad Nacional de Cuyo, Centro Universitario, 5500, Mendoza, Argentina

    C. Careglio, C. García Garino & A. Mirasso

  2. Aerospace and Mechanical Engineering Department, University of Liège, 13a Allée de la découverte, 4000, Liège, Belgium

    C. Canales & J. P. Ponthot

Authors
  1. C. Careglio
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  2. C. Canales
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  3. C. García Garino
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  4. A. Mirasso
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  5. J. P. Ponthot
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Correspondence to C. Careglio.

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Careglio, C., Canales, C., García Garino, C. et al. A numerical study of hypoelastic and hyperelastic large strain viscoplastic Perzyna type models. Acta Mech 227, 3177–3190 (2016). https://doi.org/10.1007/s00707-015-1545-6

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  • DOI: https://doi.org/10.1007/s00707-015-1545-6

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