Modelling Non-Quadratic Anisotropic Yield Criteria and Mixed Isotropic-Nonlinear Kinematic Hardening at Finite Strains

Tiago Jordao Grilo; Ivaylo Nikolov Vladimirov; Robertt Valente; Stefanie Reese

doi:10.4028/www.scientific.net/KEM.611-612.19

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 611-612Modelling Non-Quadratic Anisotropic Yield Criteria...

Modelling Non-Quadratic Anisotropic Yield Criteria and Mixed Isotropic-Nonlinear Kinematic Hardening at Finite Strains

Abstract:

A constitutive model that accounts for mixed isotropic-nonlinear kinematic hardening, suitable for any non-quadratic yield criteria, is proposed. The finite strain model is derived from a thermodynamically consistent framework and relies on the multiplicative split of the deformation gradient in the context of hyperelasticity. The nonlinear kinematic hardening approach is introduced in the constitutive model by means of the multiplicative split of the plastic deformation gradient. The constitutive equations are consistently derived by exploiting the dissipation inequality, and expressed by symmetric tensor-valued internal variables only. The exponential map algorithm was employed in the integration of the evolution equations. This algorithmic strategy has the advantage of preserving both the plastic incompressibility and the symmetry of the internal variables. The model was implemented into a material user-subroutine of a commercial finite element code (ABAQUS), and some numerical results are presented to assess the performance of the present model.

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Periodical:

Key Engineering Materials (Volumes 611-612)

Pages:

19-26

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.611-612.19

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Online since:

May 2014

Authors:

Tiago Jordao Grilo*, Ivaylo Nikolov Vladimirov, Robertt Valente, Stefanie Reese

Keywords:

Anisotropic Yield Criteria, Finite Element Method (FEM), Finite Strains, Kinematic Hardening, Sheet Metal Forming

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References

[1] C. Miehe, N. Apel: Int. J. Numer. Meth. Eng. Vol. 61 (2004), pp.2067-2113.

Google Scholar

[2] J. Schr¨oder, F. Gruttmann, J. L¨oblein: Comput. Mech. Vol. 30 (2002), pp.48-64.

Google Scholar

[3] I.N. Vladimirov, M.P. Pietryga, S. Reese: Int. J. Plasticity Vol. 26 (2010), pp.659-687.

Google Scholar

[4] Y. Choi, C. -S. Han, J.K. Lee, R.H. Wagoner: Int. J. Plasticity Vol. 22 (2006), pp.1745-1764.

Google Scholar

[5] W. Dettmer, S. Reese: Comput. Methods Appl. Mech. Engrg. Vol. 193 (2004), pp.87-116.

Google Scholar

[6] A. Lion: Int. J. Plasticity Vol. 16 (2000) pp.469-494.

Google Scholar

[7] F. Barlat, H. Aretz, J.W. Yoon, M.E. Karabin, J.C. Brem, R.E. Dick: Int. J. Plasticity Vol. 21 (2005), pp.1009-1039.

DOI: 10.1016/j.ijplas.2004.06.004

Google Scholar

[8] R.J. Alves de Sousa, J.W. Yoon, R.P.R. Cardoso, R.A. Valente, J.J. Gracio: Int. J. Plasticity Vol. 23 (2007), pp.490-515.

Google Scholar

[9] I.N. Vladimirov, M.P. Pietryga, S. Reese: J. Mater. Process. Technol. Vol. 209 (2009), pp.4062-4075.

Google Scholar

[10] J.L. Chaboche: Int. J. Plasticity Vol. 24 (2008), pp.1642-1693.

Google Scholar

[11] T.J. Grilo, R.A.F. Valente, R.J. Alves de Sousa: Int. J. Mater. Form., accepted for publication, DOI: 10. 1007/s12289-12012-11123-12286 (2013).

Google Scholar

[12] J.W. Yoon, D.Y. Yang, K. Chung: Comput. Method. Appl. Mech. Eng. Vol. 174 (1999), pp.23-56.

Google Scholar

[13] NUMISHEET, 1996. NUMISHEET'96 benchmark problem. In: Lee, J.K., Kinzel, G.L., Wagoner, R.H. (Eds. ), Proceedings of 3rd International Conference on Numerical Simulation of 3D Sheet Metal Forming Processes, Dearborn, USA.

Google Scholar