The present work demonstrates that the pencil glide mechanism is a physically reliable and a computationally efficient model to simulate the nonlinear behaviour of b.c.c. single and polycrystals. For that purpose, the pencil glide extension of Schmid’s criterion used by Gilormini [1] is incorporated in a single crystal model and in a homogenized polycrystal model accounting for large elastoviscoplastic deformations. The response of the pencil glide model in terms of stress-strain curves and lattice rotation is compared to the prediction based on the consideration of all
Accepté le :
Première publication :
Publié le :
Lu Tuan Le 1 ; Kais Ammar 1 ; Samuel Forest 1

@article{CRMECA_2020__348_10-11_847_0, author = {Lu Tuan Le and Kais Ammar and Samuel Forest}, title = {Efficient simulation of single and poly-crystal plasticity based on the pencil glide mechanism}, journal = {Comptes Rendus. M\'ecanique}, pages = {847--876}, publisher = {Acad\'emie des sciences, Paris}, volume = {348}, number = {10-11}, year = {2020}, doi = {10.5802/crmeca.44}, language = {en}, }
TY - JOUR AU - Lu Tuan Le AU - Kais Ammar AU - Samuel Forest TI - Efficient simulation of single and poly-crystal plasticity based on the pencil glide mechanism JO - Comptes Rendus. Mécanique PY - 2020 SP - 847 EP - 876 VL - 348 IS - 10-11 PB - Académie des sciences, Paris DO - 10.5802/crmeca.44 LA - en ID - CRMECA_2020__348_10-11_847_0 ER -
%0 Journal Article %A Lu Tuan Le %A Kais Ammar %A Samuel Forest %T Efficient simulation of single and poly-crystal plasticity based on the pencil glide mechanism %J Comptes Rendus. Mécanique %D 2020 %P 847-876 %V 348 %N 10-11 %I Académie des sciences, Paris %R 10.5802/crmeca.44 %G en %F CRMECA_2020__348_10-11_847_0
Lu Tuan Le; Kais Ammar; Samuel Forest. Efficient simulation of single and poly-crystal plasticity based on the pencil glide mechanism. Comptes Rendus. Mécanique, Contributions in mechanics of materials, Volume 348 (2020) no. 10-11, pp. 847-876. doi : 10.5802/crmeca.44. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.44/
[1] The theory of rate sensitive pencil glide application to rolling textures, Acta Metall., Volume 37 (1989), pp. 2093-2101 | DOI
[2] Expectable specific features of BCC crystal plastic flow and consistency with the Schmid law, Phil. Mag., Volume 93 (2013), pp. 3589-3611 | DOI
[3] Investigation of slip system activity in iron at room temperature by SEM and AFM in-situ tensile and compression tests of iron single crystals, Int. J. Plast., Volume 65 (2015), pp. 226-249 | DOI
[4] The distortion of iron crystals, Proc. R. Soc. Lond. A, Volume 112 (1926), pp. 337-361
[5] Theoretical analyses of
[6] Pencil glide formulation for polycrystal modelling, Scr. Metall. Mater., Volume 32 (1995), pp. 2051-2054 | DOI
[7] Plastic strain in metals, J. Inst. Metals, Volume 62 (1938), pp. 307-324
[8] Zur Ableitung einer Fliessbedingung, Z. Verein. Dtsch. Ing., Volume 72 (1928), pp. 734-736
[9] A theory of the plastic distortion of a polycrystalline aggregate under combined stresses, Lond. Edinburgh Dublin Phil. Mag. J. Sci., Volume 42 (1951) no. 327, pp. 414-427 | DOI | MR | Zbl
[10] A method for the determination of the active slip systems and orientation changes during single crystal deformation, Proceedings of the 5th International Conference on Texture of Materials, Springer Verlag, 1978, pp. 265-275 | DOI
[11] Low temperature deformation of polycrystals, Proceedings of the 2th International Symposium on Metallurgy and Materials Science: Deformation of Polycrystals, Danmarks Tekniske Universitet, 1981, pp. 73-86
[12] How many slip systems and which?, Deformation of polycrystals: Mechanisms and Microstructures, 2nd International Symposium on Metallurgy and Materials Science (N. Hansen; A. Horsewell; T. Leffers; H. E. Liholt, eds.), Risø National Laboratory, Roskilde, Denmark, 1981, pp. 35-44
[13] On the equivalence of the relaxed taylor theory and the bishop-hill theory for partially constrained plastic deformation of crystals, Mater. Sci. Eng., Volume 55 (1982), pp. 69-77 | DOI
[14] Théorie d’une classe de modèles de Taylor Hétérogènes: application aux textures de déformation des aciers, Acta. Metall., Volume 35 (1987), p. 615 | DOI
[15] Présentaion d’un modèle polycrystallin extrémal: application aux aciers d’un modèle approché, Mém. Et. Sci. Revue Métall., Volume 87 (1990), p. 359
[16] Extensions of the self-consistent tangent model, Model. Simul. Mater. Sci. Eng., Volume 7 (1999), pp. 683-697 | DOI
[17] A self-consistent visco-plastic model: calculation of rolling textures of anisotropic materials, Mater. Sci. Eng. A, Volume 175 (1994), pp. 71-82 | DOI
[18] An Extension of the self-consistent scheme to plastically flowing polycrystals, J. Mech. Phys. Solids, Volume 26 (1979), pp. 325-344 | DOI | Zbl
[19] Elastoplasticité des métaux en grandes déformations: comportement global et évolution de la structure interne, Rev. Phys. Appl., Volume 25 (1990), pp. 361-388 | DOI
[20] A micromechanical approach to inelastic behaviour of metals, Int. J. Plast., Volume 8 (1992), pp. 55-73 | DOI | Zbl
[21] Modelling finite deformation of polycrystals using local objective frames, Z. Angew. Math. Mech., Volume 79 (1999), pp. 199-202 | DOI | Zbl
[22] Micro-mechanical modeling of the inelastic behavior of directionally solidiffed materials, Mech. Mat., Volume 38 (2006) no. 3, pp. 203-217 | DOI
[23] A multiscale model for the elastoviscoplastic behavior of directionally solidified alloys: application to FE structural computations, Int. J. Solids Struct., Volume 51 (2014), pp. 1175-1187 | DOI
[24] Scale transition rules applied to crystal plasticity, Materials with Internal Structure: Multiscale and Multifield Modeling and Simulation (P. Trovalusci, ed.), Springer International Publishing, 2016, pp. 1-15
[25] A multiscale model for nickel-based directionally solidified materials, Int. J. Plast., Volume 115 (2019), pp. 1-17 | DOI
[26] Une approche inverse pour l’identification d’un modèle polycristallin élastoviscoplastique, 3ème Colloque National en Calcul des Structures, 20–23 mai, Giens, Presses Académiques de l’Ouest, 1997, pp. 207-212
[27] Non–Linear Mechanics of Materials, Solid Mechanics and Its Applications, 167, Springer-Verlag, Berlin, Heidelberg, 2009
[28] Interaction between ductile damage and texture evolution in finite polycrystalline elastoplasticity, Int. J. Damage Mech., Volume 28 (2019), pp. 481-501 | DOI
[29] Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques, Int. J. Solids Struct., Volume 9 (1973), pp. 725-740 | DOI | Zbl
[30] Efficient integration in the plasticity of crystals with pencil glide and deck glide, Tech. Mech., Volume 21 (2001), pp. 243-250
[31] Glide mechanisms for bundle- and plate-like structures, Tech. Mech., Volume 35 (2015), pp. 62-69
[32] Cyclic behavior of extruded magnesium: experimental, microstructural and numerical approach, Int. J. Plast., Volume 27 (2011), pp. 2068-2084 | DOI | Zbl
[33] Crystal plasticity modeling and characterization of the deformation twinning and strain hardening in Hadfield steels, Mat. Sci. Eng., Volume 720 (2018), pp. 145-159 | DOI
[34] The Contribution of Micromechanical Approaches to the Modelling of Inelastic Behaviour of Polycrystals, Fourth Int. Conf. on Biaxial/multiaxial Fatigue and Design (London) (A. Pineau; G. Cailletaud; T. Lindley, eds.) (ESIS), Volume 21, Mechanical Engineering Publications, 1996, pp. 3-19
[35] Numerical multi-scale simulations of the mechanical behavior of
[36] Finite element assessment of an affine self-consistent model for hexagonal polycrystals, Eur. J. Mech. - A/Solids, Volume 61 (2017), pp. 345-356 | DOI
[37] Multiscale modeling of the elasto-plastic behavior of architectured and nanostructured Cu-Nb composite wires and comparison with neutron diffraction experiments, Int. J. Plast., Volume 122 (2019), pp. 1-30 | DOI
[38] Determination of finite plastic deformations in single crystals, Arch. Mech., Volume 47 (1995), pp. 203-222 | Zbl
[39] Kinetics of dislocations in pure Fe. Part I. In situ straining experiments at room temperature, Acta Mater., Volume 58 (2010), pp. 3493-3503 | DOI
[40] Orientation dependence of quasi-three-stage work hardening in high purity iron single crystals, Mater. Sci. Eng., Volume A 129 (1990) no. 2, pp. 207-215 | DOI
[41] Etude de la plasticité et application aux métaux, 1st published, Presses des Mines de Paris, 1965
[42] Structure and mobility of the edge dislocation in BCC iron studied by molecular dynamics, Acta Mater., Volume 57 (2009) no. 5, pp. 1416-1426 | DOI
[43] Edge dislocation mobilities in bcc Fe obtained by molecular dynamics, Phys. Rev. B, Volume 84 (2011) no. 6, 064106 | DOI
[44] Simulation of screw dislocation motion in iron by molecular dynamics simulations, Phys. Rev. Lett., Volume 95 (2005) no. 21, 215506 | DOI
[45] Etude théorique et expérimentale du comportement élastoplastique des monocristaux métalliques se déformant par glissement : modélisation pour un chargement complexe quasi-statique, Ph. D. Thesis, Université Paris 13 (1984)
[46] Dislocation Interactions and Symmetries in BCC Crystals, Springer, Netherlands, 2004, pp. 69-78
[47] From dislocation junctions to forest hardening, Phys. Rev. Lett., Volume 89 (2003), 255508
[48] Dislocation intersections and reactions in FCC and BCC crystals, MRS Proc., Volume 779 (2003), W1.6
[49] The role of collinear interaction in dislocation-induced hardening, Science, Volume 301 (2003), pp. 1879-1882 | DOI
[50] Slip systems interactions in a-iron determined by dislocation dynamics simulations, Int. J. Plast., Volume 25 (2009) no. 2, pp. 361-377 | DOI | Zbl
[51] Etude par essais in situ MEB et AFM sur monocristaux des mécanismes de glissement á température ambiante de la ferrite de pureté commerciale, Ph. D. Thesis, Université Paris Nord (2013)
[52] Mechanical properties of ARMCO
[53] Les textures dans les métaux de réseau cubique, Dunod, Paris, France, 1972
[54] Texture and Anisotropy, Cambridge University Press, 1998 | Zbl
[55] Calculation of crystallographic texture of BCC steels during cold rolling, J. Mat. Eng. Perform., Volume 26 (2017) no. 6, pp. 2708-2720 | DOI
[56] Deformation textures and plastic anisotropy of steels using the Taylor and nonhomogeneous models, Int. J. Plast., Volume 10 (1994), pp. 643-661 | DOI | Zbl
[57] Rolling and recrystallization textures of BCC steels, Steel Res. Int., Volume 62 (1991), pp. 567-575 | DOI
[58] Modeling of large plastic deformation behavior and anisotropy evolution in cold rolled bcc steels using the viscoplastic
[59] Investigation of contribution of
[60] Texture development during the torsion testing of
[61] Shear texture in copper, brass, aluminum, iron and zirconium, Trans. Metall. Soc. AIME, Volume 224 (1962), pp. 129-139
[62] A comparison of collective dislocation motion from single slip quantitative topographic analysis during in-situ AFM room temperature tensile tests on Cu and Fe
[63] Simulation of the rolling textures of b.c.c. metals by means of the relaxed taylor theory, Acta Metall., Volume 33 (1985), pp. 1481-1488 | DOI
[64] Dislocation intersections and reactions in FCC and BCC crystals, MRS Proc., Volume 779 (2003), W1.6
[65] Utilisation de modèles polycristallins pour le calcul par éléments finis, Rev. Européenne des Éléments Finis, Volume 3 (1994), pp. 515-541 | DOI | Zbl
- A generic formulation of anisotropic thermo-elastoviscoplasticity at finite deformations for finite element codes, Computational Mechanics (2024) | DOI:10.1007/s00466-024-02543-8
- Effects of grain size and β fraction on the deformation modes of a Ti-6Al-2Sn-4Zr-2Mo-Si alloy with equiaxed (α + β) microstructures: Slip trace analysis and multiscale simulation of polycrystal plasticity, Journal of Alloys and Compounds, Volume 981 (2024), p. 173722 | DOI:10.1016/j.jallcom.2024.173722
- A microstructure-based three-scale homogenization model for predicting the elasto-viscoplastic behavior of duplex stainless steels, International Journal of Plasticity, Volume 164 (2023), p. 103575 | DOI:10.1016/j.ijplas.2023.103575
- Micromechanical testing for quantitative characterization of apparent slip system: Extinction of persistence of slip in carbon bearing Fe-3 | DOI:10.1016/j.scriptamat.2023.115473
Cité par 4 documents. Sources : Crossref
Commentaires - Politique