Modelling ductile damage of a textured aluminum alloy based on a non-quadratic yield function

Modelling ductile damage of a textured aluminum alloy based on a non-quadratic yield function

BRITO João P., OLIVEIRA Marta C., ALVES José Luís

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Abstract. The development of more sophisticated constitutive models is essential for improving the reliability of metal forming process simulations. The main objective of this work is to employ a Gurson-type [1] porous criterion to assess the ductile damage distribution of a strongly textured AA5042-H2 sheet during a single-stage cup-drawing process. The anisotropy of the dense phase is described with the non-quadratic form of the CPB06ex2 [2] criterion using two linear transformations. In line with Gurson’s homogenization theory, the plastic behavior of the porous solid is described by an approximate macroscopic strain-rate potential (SRP) using the classical Rice and Tracey trial fields. The particularity of this implementation is that the macroscopic potentials are not evaluated via analytical functions, but by numerical integration of the local fields [3]. It is shown that such approach is viable from the computational standpoint and opens the door for materials with intricate plastic behavior to be modeled within the framework of porous media.

Keywords
Ductile Damage, Porosity, Homogenization, Deep Drawing, Orthotropy

Published online 4/24/2024, 9 pages
Copyright © 2024 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: BRITO João P., OLIVEIRA Marta C., ALVES José Luís, Modelling ductile damage of a textured aluminum alloy based on a non-quadratic yield function, Materials Research Proceedings, Vol. 41, pp 1231-1239, 2024

DOI: https://doi.org/10.21741/9781644903131-137

The article was published as article 137 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] A. Gurson, “Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I-Yield Criteria and Flow Rules for Porous Ductile Media,” J Eng Mater Technol, vol. 99, no. 1, pp. 2–15, Jan. 1977. https://doi.org/10.1115/1.3443401
[2] B. Plunkett, O. Cazacu, and F. Barlat, “Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals,” Int J Plast, vol. 24, no. 5, pp. 847–866, 2008. https://doi.org/10.1016/j.ijplas.2007.07.013
[3] J. P. Brito, “Numerical-based plastic potentials for anisotropic porous metallic materials: development and implementation,” PhD Thesis, University of Coimbra, 2023.
[4] J.-H. Yoon, O. Cazacu, J. W. Yoon, and R. E. Dick, “Earing predictions for strongly textured aluminum sheets,” Int J Mech Sci, vol. 52, no. 12, pp. 1563–1578, 2010. https://doi.org/10.1016/j.ijmecsci.2010.07.005
[5] J. R. Rice and D. M. Tracey, “On the ductile enlargement of voids in triaxial stress fields,” J Mech Phys Solids, vol. 17, no. 3, pp. 201–217, 1969. https://doi.org/10.1016/0022-5096(69)90033-7
[6] O. Cazacu, B. Plunkett, and F. Barlat, “Orthotropic yield criterion for hexagonal closed packed metals,” Int J Plast, vol. 22, no. 7, pp. 1171–1194, 2006. https://doi.org/10.1016/j.ijplas.2005.06.001
[7] M. C. Oliveira, J. L. Alves, and L. F. Menezes, “Algorithms and strategies for treatment of large deformation frictional contact in the numerical simulation of deep drawing process,” Archives of Computational Methods in Engineering, vol. 15, no. 2, pp. 113–162, 2008. https://doi.org/10.1007/s11831-008-9018-x
[8] L. F. Menezes and C. Teodosiu, “Three-dimensional numerical simulation of the deep-drawing process using solid finite elements,” J Mater Process Technol, vol. 97, no. 1–3, pp. 100–106, 2000. https://doi.org/10.1016/S0924-0136(99)00345-3
[9] D. M. Neto, M. C. Oliveira, L. F. Menezes, and J. L. Alves, “Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems,” Comput Methods Appl Mech Eng, vol. 271, pp. 296–320, 2014. https://doi.org/10.1016/j.cma.2013.12.008
[10] C. C. Chu and A. Needleman, “Void Nucleation Effects in Biaxially Stretched Sheets,” J Eng Mater Technol, vol. 102, no. 3, pp. 249–256, Jul. 1980. https://doi.org/10.1115/1.3224807
[11] J.-W. Yoon, F. Barlat, R. E. Dick, K. Chung, and T. J. Kang, “Plane stress yield function for aluminum alloy sheets-part II: FE formulation and its implementation,” Int J Plast, vol. 20, no. 3, pp. 495–522, 2004. https://doi.org/10.1016/S0749-6419(03)00099-8