Modelling ductile fracture in an Al alloy with crystal plasticity models

Modelling ductile fracture in an Al alloy with crystal plasticity models

KHADYKO Mikhail, FRODAL Bjørn Håkon, HOPPERSTAD Odd Sture

download PDF

Abstract. Crystal plasticity models enhanced with coupled or uncoupled damage and fracture criteria give an opportunity to account for the role of microstructure in ductile fracture, most directly representing the local variations of stress and strain fields inside and between the grains, voids and particles. Some computationally efficient crystal plasticity, damage and fracture models have recently been developed and applied to some cases of polycrystalline fracture. Such models allow to investigate in a direct way the effects of, e.g., shear bands, larger voids, particles, free surfaces and load direction on the development of damage and fracture. The cast and homogenized Al1.2Mn alloy investigated previously is used here as a basis for simulations. The alloy has an equiaxed grain structure with no texture and contains a population of larger particles and a population of dispersoids. The grain structure and the large particles are modelled directly in the finite element model, while the effect of dispersoids is represented by the damage and fracture part of the single crystal plasticity model. The study investigates the effect of different model parameters and features on the global and local behaviour of the material during localization and fracture, in light of available experimental data.

Ductile Fracture, Crystal Plasticity, Finite Element Method, Constituent Particles, Al Alloys

Published online 4/24/2024, 10 pages
Copyright © 2024 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: KHADYKO Mikhail, FRODAL Bjørn Håkon, HOPPERSTAD Odd Sture, Modelling ductile fracture in an Al alloy with crystal plasticity models, Materials Research Proceedings, Vol. 41, pp 2190-2199, 2024


The article was published as article 241 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.

[1] R. J. Asaro, “Crystal plasticity,” J Appl Mech, 50 (1983) 921-934.
[2] F. Di Gioacchino and J. Q. da Fonseca, “An experimental study of the polycrystalline plasticity of austenitic stainless steel,”Int J Plasticity, 74 (2015) 92-109.
[3] A. Guery, F. Hild, F. Latourte, and S. Roux, “Slip activities in polycrystals determined by coupling DIC measurements with crystal plasticity calculations,” Int J Plasticity, 81 (2016) 249-266.
[4] H. Lim, J. D. Carroll, C. C. Battaile, B. L. Boyce, and C. R. Weinberger, “Quantitative comparison between experimental measurements and CP-FEM predictions of plastic deformation in a tantalum oligocrystal,” Int J Mech Sci, vol. 92, pp. 98-108, 2015.
[5] D. Depriester, J. Goulmy, and L. Barrallier, “Crystal Plasticity simulations of in situ tensile tests: A two-step inverse method for identification of CP parameters, and assessment of CPFEM capabilities,” Int J Plasticity, 168 (2023)103695.
[6] T. F. Morgeneyer et al., “On crystallographic aspects of heterogeneous plastic flow during ductile tearing: 3D measurements and crystal plasticity simulations for AA7075-T651,” Int J Plasticity, 144 (2021) 103028.
[7] K. M. Min, H. Lee, H.-D. Joo, H. N. Han, and M.-G. Lee, “Crystal Plasticity Simulation of Shear Band Formation and Recrystallization Texture in Grain-Oriented Electrical Steel,” Available at SSRN 4467215.
[8] A. L. 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, 99 (1977) 2-15.
[9] J. R. Rice and D. M. Tracey, “On the ductile enlargement of voids in triaxial stress fields,” J Mech Phys Solids, 17 (1969) 201-217.
[10] V. Tvergaard and A. Needleman, “Analysis of the cup-cone fracture in a round tensile bar,” Acta Metall Mater, 32 (1984) 157-169.
[11] L. E. B. Dæhli, J. Faleskog, T. Børvik, and O. S. Hopperstad, “Unit cell simulations and porous plasticity modelling for strongly anisotropic FCC metals,” Eur J Mech A-Solid, 65 (2017) 360-383.
[12] X. Han, J. Besson, S. Forest, B. Tanguy, and S. Bugat, “A yield function for single crystals containing voids,” Int. J Solids Struct, 50 (2013) 2115-2131.
[13] M. Khadyko, B. H. Frodal, and O. S. Hopperstad, “Finite element simulation of ductile fracture in polycrystalline materials using a regularized porous crystal plasticity model,” International Journal of Fracture, 228 (2021) 15-31.
[14] B. H. Frodal, S. Thomesen, T. Børvik, and O. S. Hopperstad, “On the coupling of damage and single crystal plasticity for ductile polycrystalline materials,” Int J Plasticity, 142 (2021) 102996.
[15] A. Li, W. Hu, H. Li, Z. Zhan, and Q. Meng, “A crystal plasticity-based microdamage model and its application on the tensile failure process analysis of 7075 aluminum alloy,” Mat Sci Eng, 884 2023) 145541.
[16] B. H. Frodal, L. Lodgaard, Y. Langsrud, T. Børvik, and O. S. Hopperstad, “Influence of Local Microstructural Variations on the Bendability of Aluminum Extrusions: Experiments and Crystal Plasticity Analyses,” J Appl Mech, 90 (2023) 041006.
[17] C. K. Cocke et al., “Implementation and experimental validation of nonlocal damage in a large-strain elasto-viscoplastic FFT-based framework for predicting ductile fracture in 3D polycrystalline materials,”Int J Plasticity, 162 (2023) 103508.
[18] T. Yalçinkaya, İ. T. Tandoğan, and İ. Özdemir, “Void growth based inter-granular ductile fracture in strain gradient polycrystalline plasticity,” Int J Plasticity, 147 (2021) 103123.
[19] J.-M. Scherer, J. Besson, S. Forest, J. Hure, and B. Tanguy, “A strain gradient plasticity model of porous single crystal ductile fracture,”J Mech Phys Solids, 156 (2021) 104606.
[20] P. Gao, M. Fei, M. Zhan, and M. Fu, “Microstructure-and damage-nucleation-based crystal plasticity finite element modeling for the nucleation of multi-type voids during plastic deformation of Al alloys,” Int J Plasticity, 165 (2023) 103609.
[21] F. Qayyum et al., “Influence of non-metallic inclusions on local deformation and damage behavior of modified 16MnCrS5 steel,” Crystals,12 (2022) 281.
[22] I. Westermann, K. O. Pedersen, T. Furu, T. Børvik, and O. S. Hopperstad, “Effects of particles and solutes on strength, work-hardening and ductile fracture of aluminium alloys,”Mechanics of Materials, 79 (2014) 58-72.
[23] J. Liu, Z. Li, M. Huang, J. Zhu, L. Zhao, and Y. Zhu, “Crystallographic texture effect on statistical microvoid growth in heterogeneous polycrystals,” Int. J Solids Struct, 281 (2023) 112435.
[24] R. Quey and M. Kasemer, “The neper/fepx project: free/open-source polycrystal generation, deformation simulation, and post-processing,” in IOP Conference Series: Materials Science and Engineering, 2022, vol. 1249, no. 1: IOP Publishing, p. 012021.
[25] M. Khadyko, J. Sturdy, S. Dumoulin, L. R. Hellevik, and O. S. Hopperstad, “Uncertainty quantification and sensitivity analysis of material parameters in crystal plasticity finite element models,”Journal of Mechanics of Materials and Structures, 13 (2018) 379-400.