Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics

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MATERIAL MODELLING OF EVOLVING ELASTIC AND PLASTIC ANISOTROPYWITH APPLICATION TO DEEP DRAWING PROCESSES

Vladimirov, I. N. ; Reese, S. ;

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The paper proposes a hyperelasticity-based concept of finite strain plasticity with combined hardening using evolving structure tensors to represent the evolution of elastic and plastic anisotropy in the material. By defining the Helmholtz free energy density and the yield surface as functions of the evolving structure tensors, we are able to describe both evolving elastic and plastic anisotropy, respectively. The model considers also nonlinear kinematic and isotropic hardening and is derived from a thermodynamic framework based on the multiplicative split of the deformation gradient. The kinematic hardening component represents a continuum extension of the classical rheological model of Armstrong-Frederick kinematic hardening. Exploiting the dissipation inequality leads to the important result that the model includes only symmetric tensor-valued internal variables. Evolution of elastic and plastic anisotropy is numerically investigated by means of simulations of cylindrical deep drawing of metal sheets and thermoforming of thermoplastic polymer blends.

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Palavras-chave: Evolving anisotropy, Structure tensors, Deep drawing.,

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DOI: 10.5151/meceng-wccm2012-19020

Referências bibliográficas
  • [1] Barlat, F., Yoon, J.W., Cazacu, O.; On linear transformations of stress tensors for the description of plastic anisotropy, International Journal of Plasticity 23:876-896, 2007.
  • [2] Hill, R.; A theory of the yielding and plastic flow of anisotropic metals, Proceedings of the Royal Society of London A193:281-297, 1948.
  • [3] Li, S., Hoferlin, E., Van Bael, A., Van Houtte, P., Teodosiu, C.; Finite element modeling of plastic anisotropy induced by texture and strain-path change, International Journal of Plasticity 19:647-674, 200
  • [4] Miehe, C., Apel, N., Lambrecht, M.; Anisotropic additive plasticity in the logarithmic strain space: modular kinematic formulation and implementation based on incremental minimization principles for standard materials, Computer Methods in Applied Mechanics and Engineering 191:5383-5425, 2002.
  • [5] Papadopoulos, P., Lu, J.; On the formulation and numerical solution of problems in anisotropic finite plasticity, Computer Methods in Applied Mechanics and Engineering 190:4889-4910, 2001.
  • [6] Reese, S.; Meso-macro modelling of fibre-reinforced rubber-like composites exhibiting large elastoplastic deformation, International Journal of Solids and Structures 40:951-980, 2003.
  • [7] Sansour, C., Karsaj, I., Soric, J.; On a numerical implementation of a formulation of anisotropic continuum elastoplasticity at finite strains, Journal of Computational Physics 28:732-742, 2008.
  • [8] Stoughton, T., Yoon, J.W.; Anisotropic hardening and non-associated ow in proportional loading of sheet metals, International Journal of Plasticity 25:1777-1817, 2009.
  • [9] Vladimirov, I. N., Pietryga, M. P., Reese, S.; On the modeling of nonlinear kinematic hardening at finite strains with application to springback - Comparison of time integration algorithms, International Journal for Numerical Methods in Engineering 75:1-28, 2008.
  • [10] Vladimirov, I. N., Pietryga, M. P., Reese, S.; Prediction of springback in sheet forming by a new finite strain model with nonlinear kinematic and isotropic hardening, Journal of Materials Processing Technology 209:4062-4075, 2009.
  • [11] Vladimirov, I. N., Pietryga, M. P., Reese, S.; Anisotropic finite elastoplasticity with nonlinear kinematic and isotropic hardening and application to sheet metal forming, International Journal of Plasticity 26:659-687, 2010.
  • [12] Kishor, N., Kumar, D. R.; Optimization of initial blank shape to minimize earing in deep drawing using nite element method, Journal of Materials Processing Technology 130-131:20-30, 2002.
Como citar:

Vladimirov, I. N.; Reese, S.; "MATERIAL MODELLING OF EVOLVING ELASTIC AND PLASTIC ANISOTROPYWITH APPLICATION TO DEEP DRAWING PROCESSES", p. 2754-2765 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19020

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