A Numerical Study of the Contribution of Different Slip Systems to the Deformation Response of Polycrystalline Titanium
Source abstract
Abstract
Deformation behavior of polycrystalline titanium was studied by numerical simulation in the micromechanical and crystal plasticity frameworks. A three-dimensional model of a polycrystalline structure was generated by the step-by-step packing method based on experimental data. The constitutive equations describing the deformation behavior of grains were derived on the basis of crystal plasticity theory, taking into account the specific crystal structure and dislocation glide on prismatic, basal, and pyramidal slip systems in hcp crystals. A boundary value problem of elastic-plastic deformation of model structures was numerically solved by the finite element method. The verification of the developed model was performed by calculating the elastic-plastic deformation of titanium single crystals with different orientations. Using the model, the contribution of different slip systems to the deformation response of a polycrystal was numerically investigated.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Microstructure and mechanical properties · Titanium Alloys Microstructure and Properties · High-Velocity Impact and Material Behavior
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (29)
Show source-provided references
1. Panin, V.E., Surikova, N.S., Lider, A.M., Bordulev, Yu.S., Ovechkin, B.B., Khayrullin, R.R., and Vlasov, I.V., Multiscale Mechanism of Fatigue Fracture of Ti–6A1–4V Titanium Alloy within the Mesomechanical Space-Time-Energy Approach, Phys. Mesomech., 2018, vol. 21, no. 5, pp. 452–463. https://doi.org/10.1134/S102995991805009010.1134/S1029959918050090 ↗
2. Roters, F., Eisenlohr, P., Hantcherli, L., Tjahjanto, D.D., Bieler, T.R., and Raabe, D., Overview of Constitutive Laws, Kinematics, Homogenization and Multiscale Methods in Crystal Plasticity Finite-Element Modeling: Theory, Experiments, Applications, Acta Mater., 2010, vol. 58, pp. 1152–1211. https://doi.org/10.1016/j.actamat.2009.10.05810.1016/j.actamat.2009.10.058 ↗
3. Diard, O., Leclercq, S., Rousselier, G., and Cailletaud, G., Evaluation of Finite Element Based Analysis of 3D Multicrystalline Aggregates Plasticity. Application to Crystal Plasticity Model Identification and the Study of Stress and Strain Fields near Grain Boundaries, Int. J. Plasticity, 2005, vol. 21, pp. 691–722. https://doi.org/10.1016/j.ijplas.2004.05.01710.1016/j.ijplas.2004.05.017 ↗
4. Trusov, P.V. and Shveykin, A.I., Multilevel Crystal Plasticity Models of Single- and Polycrystals. Direct Models, Phys. Mesomech., 2013, vol. 16, no. 2, pp. 99–124. https://doi.org/10.1134/S102995991302002110.1134/S1029959913020021 ↗
5. Romanova, V., Balokhonov, R., Panin, A., Kazachenok, M., and Kozelskaya, A., Micro- and Mesomechanical Aspects of Deformation-Induced Surface Roughening in Polycrystalline Titanium, Mater. Sci. Eng. A, 2017, vol. 697, pp. 248–258. https://doi.org/10.1016/j.msea.2017.05.02910.1016/j.msea.2017.05.029 ↗
6. Won, J.W., Park, K.-T., Hong, S.-G., and Lee, C.S., Anisotropic Yielding Behavior of Rolling Textured High Purity Titanium, Mater. Sci. Eng. A, 2015, vol. 637, pp. 215–221. https://doi.org/10.1016/j.msea.2015.03.09610.1016/j.msea.2015.03.096 ↗
7. Ren, J.Q., Wang, Q., Lu, X.F., Liu, W.F., Zhang, P.L., and Zhang, X.B., Effect of Oxygen Content on Active Deformation Systems in Pure Titanium Polycrystals, Mater. Sci. Eng. A, 2018, vol. 731, pp. 530–538. https://doi.org/10.1016/j.msea.2018.06.08310.1016/j.msea.2018.06.083 ↗
8. Wu, X., Kalidindi, S.R., Necker, C., and Salem, A.A., Prediction of Crystallographic Texture Evolution and Anisotropic Stress–Strain Curves during Large Plastic Strains in High Purity α-Titanium Using a Taylor-Type Crystal Plasticity Model, Acta Mater., 2007, vol. 55(2), pp. 423–432. https://doi.org/10.1016/j.actamat.2006.08.03410.1016/j.actamat.2006.08.034 ↗
9. Wang, L., Barabash, R.I., Yang, Y., Bieler, T.R., Crimp, M.A., Eisenlohr, P., Liu, W., and Ice, G.E., Experimental Characterization and Crystal Plasticity Modeling of Heterogeneous Deformation in Polycrystalline α-Ti, Metall. Mater. Trans. A, 2011, vol. 42, pp. 626–635. https://doi.org/10.1007/s11661-010-0249-810.1007/s11661-010-0249-8 ↗
10. Pagan, D.C., Shade, P.A., Barton, N.R., Park, J.-S., Kenesei, P., Menasche, D.B., and Bernier, J.V., Modeling Slip System Strength Evolution in Ti-7Al Informed by In-Situ Grain Stress Measurements, Acta Mater., 2017, vol. 128, pp. 406–417. https://doi.org/10.1016/j.actamat.2017.02.04210.1016/j.actamat.2017.02.042 ↗
11. Zhang, L., Xu, W., Long, J., and Lei, Z., Surface Roughening Analysis of Cold Drawn Tube Based on Macro-Micro Coupling Finite Element Method, J. Mater. Process. Technol., 2015, vol. 224, pp. 189–199. https://doi.org/10.1016/j.jmatprotec.2015.05.00910.1016/j.jmatprotec.2015.05.009 ↗
12. Gong, J. and Wilkinson, A.J., Anisotropy in the Plastic Flow Properties of Single-Crystal α-Titanium Determined from Micro-Cantilever Beams, Acta Mater., 2009, vol. 57(19), pp. 5693–5705. https://doi.org/10.1016/j.actamat.2009.07.06410.1016/j.actamat.2009.07.064 ↗
13. Trusov, P.V. and Kondratyev, N.S., Two-Level Elastoviscoplastic Model: An Application to the Analysis of Grain Structure Evolution under Static Recrystallization, Phys. Mesomech., 2019, vol. 22, no. 3, pp. 230–241. https://doi.org/10.1134/S102995991903008110.1134/S1029959919030081 ↗
14. Knezevic, M., Lebensohn, R.A., Cazacu, O., Revil-Baudard, B., Proust, G., Vogel, S.C., and Nixon, M.E., Modeling Bending of α-Titanium with Embedded Polycrystal Plasticity in Implicit Finite Elements, Mater. Sci. Eng. A, 2013, vol. 564, pp. 116–126. https://doi.org/10.1016/j.msea.2012.11.03710.1016/j.msea.2012.11.037 ↗
15. Panin, A.V., Kazachenok, M.S., Perevalova, O.B., Sinyakova, E.A., Krukovsky, K.V., and Martynov, S.A., Multiscale Deformation of Commercial Titanium and Ti–6Al-4V Alloy Subjected to Electron Beam Surface Treatment, Phys. Mesomech., 2018, vol. 21, no. 5, pp. 441–451. https://doi.org/10.1134/S102995991805008910.1134/S1029959918050089 ↗
16. Solhjoo, S., Halbertsma, P.J., Veldhuis, M., Toljaga, R., Pei, Y., and Vakis, A.I., Effects of Loading Conditions on Free Surface Roughening of AISI 420 Martensitic Stainless Steel, J. Mater. Process. Technol., 2020, vol. 275, pp. 116311. https://doi.org/10.1016/j.jmatprotec.2019.11631110.1016/j.jmatprotec.2019.116311 ↗
17. Marchenko, A., Maziere, M., Forest, S., and Strudel, J.L., Crystal Plasticity Simulation of Strain Aging Phenomena in α-Titanium at Room Temperature, Int. J. Plasticity, 2016, vol. 85, pp. 1–33. https://doi.org/10.1016/j.ijplas.2016.05.00710.1016/j.ijplas.2016.05.007 ↗
18. Bridier, F., Villechaise, P., and Mendez, J., Analysis of the Different Slip Systems Activated by Tension in a α/β Titanium Alloy in Relation with Local Crystallographic Orientation, Acta Mater., 2005, vol. 53(3), pp. 555–567. https://doi.org/10.1016/j.actamat.2004.09.04010.1016/j.actamat.2004.09.040 ↗
19. Wang, X., Cazes, F., Li, J., Hocini, A., Ameyama, K., and Dirras, G., A 3D Crystal Plasticity Model of Monotonic and Cyclic Simple Shear Deformation for Commercial-Purity Polycrystalline Ti with a Harmonic Structure, Mech. Mater., 2019, vol. 128, pp. 117–128. https://doi.org/10.1016/j.mechmat.2018.10.00610.1016/j.mechmat.2018.10.006 ↗
20. Liu, J., Li, J., Dirras, G., Ameyama, K., Cazes, F., and Ota, M., A Three-Dimensional Multi-Scale Polycrystalline Plasticity Model Coupled with Damage for Pure Ti with Harmonic Structure Design, Int. J. Plastisity, 2018, vol. 100, pp. 192–207. https://doi.org/10.1016/j.ijplas.2017.10.00610.1016/j.ijplas.2017.10.006 ↗
21. Dick, T. and Cailletaud, G., Fretting Modelling with a Crystal Plasticity Model of Ti6Al4V, Comput. Mater. Sci., 2006, vol. 38(1), pp. 113–125. https://doi.org/10.1016/j.commatsci.2006.01.01510.1016/j.commatsci.2006.01.015 ↗
22. Doquet, V. and Barkia, B., A Micromechanical Model of the Viscoplastic Behaviour of Titanium Accounting for Its Anisotropic and Strain-Rate-Dependent Viscosity, Mech. Time-Depend. Mater., 2015, vol. 19(2), pp. 153–166. https://doi.org/10.1007/s11043-015-9257-910.1007/s11043-015-9257-9 ↗
23. Getting Started with Abaqus: Keywords Edition, ABAQUS 6.12 PDF Documentation, 2012.
24. Panin, A.V., Kazachenok, M.S., Romanova, V.A., Balokhonov, R.R., Kozelskaya, A.I., Sinyakova, E.A., and Krukovskii, K.V., Strain-Induced Surface Roughening in Polycrystalline VT1-0 Titanium Specimens under Uniaxial Tension, Phys. Mesomech., 2018, vol. 21, no. 3, pp. 249–257. https://doi.org/10.1134/S102995991803009810.1134/S1029959918030098 ↗
25. Romanova, V.A. and Balokhonov, R.R., A Method of Step by Step Packing and Its Application in Generating 3D Microstructures of Polycrystalline and Composite Materials, Eng. Comput., 2019. https://doi.org/10.1007/s00366-019-00820-210.1007/s00366-019-00820-2 ↗
26. Romanova, V.A., Balokhonov, R.R., Batukhtina, E.E., Emelianova, E.S., and Sergeev, M.V., On the Solution of Quasi-Static Micro- and Mesomechanical Problems in a Dynamic Formulation, Phys. Mesomech., 2019, vol. 22, no. 4, pp. 296–306. https://doi.org/10.1134/S102995991904005210.1134/S1029959919040052 ↗
27. Romanova, V., Balokhonov, R., Emelianova, E., Zinovieva, O., and Zinoviev, A., Microstructure-Based Simulations of Quasistatic Deformation Using an Explicit Dynamic Approach, Facta Univ. Mech. Eng., 2019, vol. 17(2), pp. 243–254. https://doi.org/10.22190/FUME190403028R10.22190/FUME190403028R ↗
28. Busso, E.P. and Cailletaud, G., On the Selection of Active Slip Systems in Crystal Plasticity, Int. J. Plasticity, 2005, vol. 21, pp. 2212–2231.10.1016/j.ijplas.2005.03.019 ↗
29. Panin, A.V., Kazachenok, M.S., Kozelskaya, A.I., Balokhonov, R.R., Romanova, V.A., Perevalova, O.B., and Pochivalov, Y.I., The Effect of Ultrasonic Impact Treatment on the Deformation Behavior of Commercially Pure Titanium under Uniaxial Tension, Mater. Des., 2017, vol. 117, pp. 371–381. https://doi.org/10.1016/j.matdes.2017.01.00610.1016/j.matdes.2017.01.006 ↗