Crystal Plasticity Finite Element Simulations of Polycrystalline Aluminium Alloy under Cyclic Loading

Abstract:

A three-dimensional crystal plasticity (CP) finite element model is developed to reproduce the grain level stress concentration and deformation of polycrystalline aluminium alloy 7075 (AA7075) during fatigue experiments. The grains contained in the model possess the same size and crystallographic orientations obtained from electron back-scatter diffraction experiments. A modified CP constitutive model, which considers the backstress evolution, is employed to describe the mechanical behaviour of AA7075 under cyclic loading. A round-notched specimen from a fatigue test is simulated using the proposed CP model. Convergence studies in terms of mesh density and plastic deformation zone size are carried out to determine the appropriate conditions for the simulation. The simulation results are compared with those obtained using the elasto-plastic model and the CP model without grain morphology. The comparison indicates that with the embedded grain morphology, the proposed model can capture very well the local response induced by the microstructure features, which is vital to the accurate fatigue life prediction of aluminium alloys.

• Periodical: Advanced Materials Research (Volumes 891-892)
• Pages: 1609-1614
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.891-892.1609
• Online since: March 2014
• Authors: Ling Li, Lu Ming Shen*, Gwénaëlle Proust
• Keywords: AA7075, Crack Initiation, Crystal Plasticity, Fatigue, Finite Element Method (FEM)

References

[1] J. Payne, G. Welsh, R.J. Christ Jr, J. Nardiello, J.M. Papazian, Observations of fatigue crack initiation in 7075-T651, Int. J. Fatigue., 32 (2010) 247-255.

DOI: 10.1016/j.ijfatigue.2009.06.003

[2] D.L. McDowell, Simulation-based strategies for microstructure-sensitive fatigue modeling, Mater. Sci. Eng. A, 468 (2007) 4-14.

[3] D.L. McDowell, Viscoplasticity of heterogeneous metallic materials, Mat. Sci. Eng. R., 62 (2008) 67-123.

[4] Y. Huang, A user-material subroutine incorporating single crystal plasticity in the ABAQUS Finite Element Program, in: Mech. Report 178, Harvard University, Cambridge, MA., (1991).

[5] D. Raabe, M. Sachtleber, Z. Zhao, F. Roters, S. Zaefferer, Micromechanical and macromechanical effects in grain scale polycrystal plasticity experimentation and simulation, Acta Mater., 49 (2001) 3433-3441.

DOI: 10.1016/s1359-6454(01)00242-7

[6] F. Roters, P. Eisenlohr, T.R. Bieler, D. Raabe, Crystal Plasticity Finite Element Methods, WILEY-VCH, (2010).

DOI: 10.1002/9783527631483

[7] M.R. Bache, F.P.E. Dunne, C. Madrigal, Experimental and crystal plasticity studies of deformation and crack nucleation in a titanium alloy, J. Strain. Anal. Eng., 45 (2010) 391-399.

DOI: 10.1243/03093247jsa594

[8] F.P.E. Dunne, A.J. Wilkinson, R. Allen, Experimental and computational studies of low cycle fatigue crack nucleation in a polycrystal, Int. J. Plasticity., 23 (2007) 273-295.

DOI: 10.1016/j.ijplas.2006.07.001

[9] A.P. Brahme, K. Inal, R.K. Mishra, S. Saimoto, The backstress effect of evolving deformation boundaries in FCC polycrystals, Int. J. Plasticity., 27 (2011) 1252-1266.

DOI: 10.1016/j.ijplas.2011.02.006

[10] L. Li, L. Shen, G. Proust, C.K.S. Moy, G. Ranzi, Three-dimensional crystal plasticity finite element simulation of nanoindentation on aluminium alloy 2024, Mater. Sci. Eng. A, 579 (2013) 41-49.

DOI: 10.1016/j.msea.2013.05.009

[11] D. Kuhlmann-Wilsdorf, The theory of dislocation-based crystal plasticity, Philos. Mag. A, 79 (1999) 955-1008.

DOI: 10.1080/01418619908210342

[12] C. Robert, N. Saintier, T. Palin-Luc, F. Morel, Micro-mechanical modelling of high cycle fatigue behaviour of metals under multiaxial loads, Mech. Mater., (2012).

DOI: 10.1016/j.mechmat.2012.08.006

[13] B.Q. Xu, Y.Y. Jiang, A cyclic plasticity model for single crystals, Int. J. Plasticity., 20 (2004) 2161-2178.

DOI: 10.1016/j.ijplas.2004.05.003

[14] Y. Li, V. Aubin, C. Rey, P. Bompard, Polycrystalline numerical simulation of variable amplitude loading effects on cyclic plasticity and microcrack initiation in austenitic steel 304L, Int. J. Fatigue., 42 (2012) 71-81.

DOI: 10.1016/j.ijfatigue.2011.07.003

[15] M. Anahid, S. Ghosh, Homogenized constitutive and fatigue nucleation models from crystal plasticity FE simulations of Ti alloys, Part 2: Macroscopic probabilistic crack nucleation model, Int. J. Plasticity., 48 (2013) 111-124.

DOI: 10.1016/j.ijplas.2013.02.008

[16] E.A. Repetto, M. Ortiz, A micromechanical model of cyclic deformation and fatigue-crack nucleation in fcc single crystals, Acta Mater., 45 (1997) 2577-2595.

DOI: 10.1016/s1359-6454(96)00368-0

[17] V. Bennett, D. McDowell, Polycrystal orientation distribution effects on microslip in high cycle fatigue, Int. J. Fatigue., 25 (2003) 27-39.

DOI: 10.1016/s0142-1123(02)00057-9

[18] Y. Guilhem, S. Basseville, F. Curtit, J. -M. Stéphan, G. Cailletaud, Numerical investigations of the free surface effect in three-dimensional polycrystalline aggregates, Comp. Mater. Sci., 70 (2013) 150-162.

DOI: 10.1016/j.commatsci.2012.11.052

[19] C.A. Sweeney, W. Vorster, S.B. Leen, E. Sakurada, P.E. McHugh, F.P.E. Dunne, The role of elastic anisotropy, length scale and crystallographic slip in fatigue crack nucleation, J. Mech. Phys. Solids., 61 (2013) 1224-1240.

DOI: 10.1016/j.jmps.2013.01.001

[20] K. -S. Zhang, Y. -K. Shi, J.W. Ju, Grain-level statistical plasticity analysis on strain cycle fatigue of a FCC metal, Mech. Mater., 64 (2013) 76-90.

DOI: 10.1016/j.mechmat.2013.05.001

[21] C.O. Frederick, P.J. Armstrong, A mathematical representation of the multiaxial Bauschinger effect, Mater. High Temp., 24 (2007) 11-26.

DOI: 10.3184/096034007x207589

[22] E. Marin, P. Dawson, On modelling the elasto-viscoplastic response of metals using polycrystal plasticity, Comput. Method. Appl. M, 165 (1998) 1-21.

DOI: 10.1016/s0045-7825(98)00034-6

[23] E.B. Marin, On the formulation of a crystal plasticity model, in, Sandia National Laboratories, (2006).

[24] C.H. Goh, R.W. Neu, D.L. McDowell, Crystallographic plasticity in fretting of Ti-6AL-4V, Int. J. Plasticity., 19 (2003) 1627-1650.

DOI: 10.1016/s0749-6419(02)00039-6

[25] G.Z. Voyiadjis, P.I. Kattan, Phenomenological evolution-equations for the backstress and spin tensors, Acta Mech., 88 (1991) 91-111.

DOI: 10.1007/bf01170595

[26] F. Yoshida, A constitutive model of cyclic plasticity, Int. J. Plasticity., 16 (2000) 359-380.

[27] ABAQUS User's Manual, Version 6. 10, Hibbit, Karlsson and Sorensen Inc., (2011).

[28] M.E. Fine, S.P. Bhat, A model of fatigue crack nucleation in single crystal iron and copper, Mater. Sci. Eng. A, 468 (2007) 64-69.

DOI: 10.1016/j.msea.2006.09.127