In the present work, crystal plasticity simulations using the fast Fourier transform (FFT) based Düsseldorf advanced material simulation kit (DAMASK) are performed to provide new insights on choosing the value of interaction parameter in the localisation equation of the visco-plastic self-consistent (VPSC) model. A statistical criterion based on the distribution of shear rates at each material point is obtained using DAMASK, which enables the judicious selection of the interaction parameter in the VPSC model. Subsequent large-scale texture simulations via VPSC indicated an excellent match between experimental and simulated textures, which establishes the effectiveness of the proposed approach of learning from full-field models and using it in the mean-field, less computationally expensive VPSC model for performing efficient texture simulations.
BishopJHillR.CXXVIII. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal. London, Edinburgh Dublin Philos Mag J Sci1951; 42(334):1298–1307.
2.
BishopJHillR.XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. London, Edinburgh Dublin Philos Mag J Sci1951; 42(327):414–427.
3.
HirschJLückeK.Overview no. 76: mechanism of deformation and development of rolling textures in polycrystalline f.c.c. metals—I. Description of rolling texture development in homogeneous CuZn alloys. Acta Metall1988; 36(11):2863–2882.
4.
HirschJLückeK.Overview no. 76: mechanism of deformation and development of rolling textures in polycrystalline fcc metals—II. Simulation and interpretation of experiments on the basis of Taylor-type theories. Acta Metall1988; 36(11):2883–2904.
5.
BeyerleinIToméC.A dislocation-based constitutive law for pure Zr including temperature effects. Int J Plast2008; 24(5):867–895.
6.
Van HoutteP.A comprehensive mathematical formulation of an extended Taylor–Bishop–Hill model featuring relaxed constraints, the Renouard–Wintenberger theory and a strain rate sensitivity model. Texture, Stress, Microstruct1988; 8:313–350.
7.
MánikTHolmedalB.Review of the Taylor ambiguity and the relationship between rate-independent and rate-dependent full-constraints Taylor models. Int J Plast2014; 55:152–181.
8.
TaylorGI.Plastic strain in metals. J Inst Met1938; 62:307–324.
9.
KocksUChandraH.Slip geometry in partially constrained deformation. Acta Metall1982; 30(3):695–709.
10.
Van HoutteP.On the equivalence of the relaxed Taylor theory and the Bishop-Hill theory for partially constrained plastic deformation of crystals. Mater Sci Eng1982; 55(1):69–77.
11.
MolinariACanovaGAhziS.A self consistent approach of the large deformation polycrystal viscoplasticity. Acta Metall1987; 35(12):2983–2994.
12.
LebensohnRAToméC.A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys. Acta Metall Mater1993; 41(9):2611–2624.
13.
Van HouttePLiSSeefeldtMDeformation texture prediction: from the Taylor model to the advanced Lamel model. Int J Plast2005; 21(3):589–624.
14.
XieQEyckensPVegterHPolycrystal plasticity models based on crystallographic and morphologic texture: evaluation of predictions of plastic anisotropy and deformation texture. Mater Sci Eng A2013; 581:66–72.
15.
ZhangKHolmedalBHopperstadOModelling the plastic anisotropy of aluminum alloy 3103 sheets by polycrystal plasticity. Modell Simul Mater Sci Eng2014; 22(7):075015, 1–20. https://doi.org/10.1088/0965-0393/22/7/075015.
16.
ToméCNNeckerCTLebensohnRA.Mechanical anisotropy and grain interaction in recrystallized aluminum. Metall Mater Trans A2002; 33(8):2635–2648.
17.
KanjarlaAKVan HouttePDelannayL.Assessment of plastic heterogeneity in grain interaction models using crystal plasticity finite element method. Int J Plast2010; 26(8):1220–1233.
18.
LiuBRaabeDRotersFComparison of finite element and fast Fourier transform crystal plasticity solvers for texture prediction. Modell Simul Mater Sci Eng2010; 18(8):085005, 1–21. http://doi.org/10.1088/0965-0393/18/8/085005.
19.
RotersFEisenlohrPHantcherliLOverview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Mater2010; 58(4):1152–1211.
20.
WronskiMKumarMACapolungoLDeformation behavior of CP-titanium: experiment and crystal plasticity modeling. Mater Sci Eng A2018; 724:289–297.
21.
CanovaGWenkHMolinariA.Deformation modelling of multi-phase polycrystals: case of a quartz-mica aggregate. Acta Metall Mater1992; 40(7):1519–1530.
22.
LebensohnRA.N-site modeling of a 3D viscoplastic polycrystal using fast Fourier transform. Acta Mater2001; 49(14):2723–2737.
23.
KokSBeaudoinAJTortorelliDA.A polycrystal plasticity model based on the mechanical threshold. Int J Plast2002; 18(5-6):715–741.
24.
MolinariATóthL.Tuning a self consistent viscoplastic model by finite element results—I. Modeling. Acta Metall Mater1994; 42(7):2453–2458.
25.
ToméCN.Self-consistent polycrystal models: a directional compliance criterion to describe grain interactions. Modell Simul Mater Sci Eng1999; 7(5):723–738.
26.
MishinVVShishovIAStolyarovONEffect of cold rolling route on deformation mechanism and texture evolution of thin beryllium foils: experiment and VPSC simulation. Mater Charact2020; 164(110350):1–15.
27.
RoattaALeonardMNicolettiEModeling texture evolution during monotonic loading of Zn-Cu-Ti alloy sheet using the viscoplastic self-consistent polycrystal model. J Alloys Compd2021; 860(158425):1–12.
28.
KaushikLKimM-SSinghJDeformation mechanisms and texture evolution in high entropy alloy during cold rolling. Int J Plast2021; 141(102989):1–28. https://doi.org/10.1016/j.ijplas.2021.102989.
29.
TazuddinBKGuraoNP.Deciphering micro-mechanisms of plastic deformation in a novel single phase fcc-based MnFeCoNiCu high entropy alloy using crystallographic texture. Mater Sci Eng A2016; 657:224–233.
30.
SalehAAHaaseCPerelomaEVOn the evolution and modelling of brass-type texture in cold-rolled twinning-induced plasticity steel. Acta Mater2014; 70:259–271.
31.
SalehAAPerelomaEVGazderAA.Microstructure and texture evolution in a twinning-induced-plasticity steel during uniaxial tension. Acta Mater2013; 61(7):2671–2691.
32.
TakajoSToméCNVogelSCTexture simulation of a severely cold rolled low carbon steel using polycrystal modeling. Int J Plast2018; 109:137–152.
33.
BachmannFHielscherRSchaebenH.Texture analysis with MTEX–free and open source software toolboxSolid State Phenomena Vol. 160Trans Tech Publ; 2010. p. 63–68.
34.
RotersFDiehlMShanthrajPDAMASK–The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale. Comput Mater Sci2019; 158:420–478.
35.
DiehlMGroeberMHaaseCIdentifying structure–property relationships through DREAM. 3D representative volume elements and DAMASK crystal plasticity simulations: an integrated computational materials engineering approach. JOM2017; 69(5):848–855.
36.
DiehlMWangDLiuCSolving material mechanics and multiphysics problems of metals with complex microstructures using DAMASK—The Düsseldorf advanced material simulation kit. Adv Eng Mater2020; 22(3):1901044, 1–18.
37.
GroeberMAJacksonMA.DREAM. 3D: a digital representation environment for the analysis of microstructure in 3D. Integr Mater Manuf Innov2014; 3(1):56–72.
38.
ToméC. Lebensohn R. VPSC 7b–User manual. 2007.
39.
EnglerOHirschJ.Texture control by thermomechanical processing of AA6xxx Al–Mg–Si sheet alloys for automotive applications—a review. Mater Sci Eng A2002; 336(1):249–262.
40.
DelannayLKalidindiSVan HoutteP.Quantitative prediction of textures in aluminium cold rolled to moderate strains. Mater Sci Eng A2002; 336(1-2):233–244.
at each material point is obtained using DAMASK, which enables the judicious selection of the interaction parameter in the VPSC model. Subsequent large-scale texture simulations via VPSC indicated an excellent match between experimental and simulated textures, which establishes the effectiveness of the proposed approach of learning from full-field models and using it in the mean-field, less computationally expensive VPSC model for performing efficient texture simulations.