Paper Titles

Preface and Conference Organizers

Tuneable Resonance Properties of Graphene by Nitrogen-Dopant
p.3

Finite Element Modelling of Stress-Induced Fracture in Ti-Si-N Films
p.10

Fictitious Elastic Stiffness Parameters of Zero-Thickness Finite Elements at Bi-Material Interfaces
p.16

Crystal Plasticity Simulation of the Bauschinger Effect of Polycrystalline AA7075 through a Texture-Based Representative Volume Element Model
p.22

Understanding the Threshold Conditions for Dislocation Transmission from Tilt Grain Boundaries in FCC Metals under Uniaxial Loading
p.28

Effect of Pressure on Dry and Hydrated Self Assembled Monolayers: A Molecular Dynamics Simulation Study
p.35

Atoms to Assemblies: A Physics-Based Hierarchical Modelling Approach for Polymer Composite Components
p.41

Finite Element Analysis of Residual Stresses in Metallic Coatings through a Compound Casting
p.48

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 553Crystal Plasticity Simulation of the Bauschinger...

Crystal Plasticity Simulation of the Bauschinger Effect of Polycrystalline AA7075 through a Texture-Based Representative Volume Element Model

Article Preview

Abstract:

A texture-based representative volume element (TBRVE) model is developed for the three-dimensional crystal plasticity (CP) finite element simulations of the Bauschinger effect (BE) of polycrystalline aluminium alloy 7075 (AA7075). In the simulations, the grain morphology is created using the Voronoi tessellation method with the material texture systematically discretised from experiment. A modified CP constitutive model, which takes into account the backstress, is used to simulate the BE during cyclic loading. The model parameters are calibrated using the first cycle stress-strain curve and used to predict the mechanical response to the cyclic saturation of AA7075. The results indicate that the proposed TBRVE CP finite element model can effectively capture the BE at the grain level.

You might also be interested in these eBooks

Advances in Computational Mechanics

Info:

Periodical:

Applied Mechanics and Materials (Volume 553)

Pages:

22-27

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.553.22

Citation:

Cite this paper

Online since:

May 2014

Authors:

Ling Li, Lu Ming Shen*, Gwénaëlle Proust

Keywords:

AA7075, Bauschinger Effect, Crystal Plasticity, Finite Element Method (FEM), Representative Volume Element

Export:

RIS, BibTeX

Price:

Permissions:

Request Permissions

* - Corresponding Author

[1] S.N. Buckley, K.M. Entwistle, The Bauschinger effect in super-pure aluminum single crystals and polycrystals, Acta. Metall., 4 (1956) 352-361.

DOI: 10.1016/0001-6160(56)90023-2

[2] M.G. Stout, A.D. Rollett, Large-strain Bauschinger effects in FCC metals and alloys, Metall. Trans. A, 21 (1990) 3201-3213.

DOI: 10.1007/bf02647315

[3] G.J. Weng, Constitutive-equations of single-crystals and polycrystalline aggregates under cyclic loading, Int. J. Eng. Sci., 18 (1980) 1385-1397.

DOI: 10.1016/0020-7225(80)90095-6

[4] A.S. Nowick, E.S. Machlin, Dislocation theory as applied by NACA to the creep of metals, J. Appl. Phys., 18 (1947) 79-87.

[5] 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

[6] 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

[7] 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

[8] F. Barlat, J.J. Gracio, M. -G. Lee, E.F. Rauch, G. Vincze, An alternative to kinematic hardening in classical plasticity, Int. J. Plasticity., 27 (2011) 1309-1327.

DOI: 10.1016/j.ijplas.2011.03.003

[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] G.J. Weng, Kinematic hardening rule in single-crystals, Int. J. Solids. Struct., 15 (1979) 861-870.

DOI: 10.1016/0020-7683(79)90055-6

[11] A.S. Khan, P. Cheng, An anisotropic elastic-plastic constitutive model for single and polycrystalline metals . 1. Theoretical developments, Int. J. Plasticity., 12 (1996) 147-162.

DOI: 10.1016/s0749-6419(96)00001-0

[12] 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

[13] S.R. Kalidindi, C.A. Bronkhorst, L. Anand, Crystallographic texture evolution in bulk deformation processing of FCC metals, J. Mech. Phys. Solids., 40 (1992) 537-569.

DOI: 10.1016/0022-5096(92)80003-9

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

DOI: 10.1002/9783527631483

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

[16] 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

[17] 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

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

[19] R.J. Asaro, Micromechanics of crystals and polycrystals, Adv. Appl. Mech., 23 (1983) 1-115.

[20] ABAQUS, Version 6. 10, Hibbit, Karlsson and Sorensen Inc, (2011).

[21] T. Kanit, S. Forest, I. Galliet, V. Mounoury, D. Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, Int. J. Solids. Struct., 40 (2003) 3647-3679.

DOI: 10.1016/s0020-7683(03)00143-4

[22] E. Nakamachi, N.N. Tam, H. Morimoto, Multi-scale finite element analyses of sheet metals by using SEM-EBSD measured crystallographic RVE models, Int. J. Plasticity., 23 (2007) 450-489.

DOI: 10.1016/j.ijplas.2006.06.002

[23] L. Li, L. Shen, G. Proust, C.K.S. Moy, G. Ranzi, A crystal plasticity representative volume element model for simulating nanoindentation of aluminium alloy 2024, Proceedings of the 4th International Conference on Computational Methods, Paper ID 133, (2012).

DOI: 10.1016/j.msea.2013.05.009

[24] 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

[25] R. Quey, P. Dawson, F. Barbe, Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing, Comput. Method. Appl. M, 200 (2011) 1729-1745.

DOI: 10.1016/j.cma.2011.01.002

[26] F. Bachmann, R. Hielscher, H. Schaeben, Texture Analysis with MTEX - Free and Open Source Software Toolbox, in: H. Klein, R.A. Schwarzer (Eds. ) Texture and Anisotropy of Polycrystals Iii, 2010, pp.63-68.

DOI: 10.4028/www.scientific.net/ssp.160.63