Abstract
Computing experiments on simulation of deformation and destruction processes of polycrystalline materials is a relevant and efficient research method. This approach suggests building a mathematical model of the material and its exploitation for numerical experiments. The development of the physically based mathematical model for the description of the material behavior during deformation will allow optimizing the properties of constructions without conducting numerous natural experiments. It has been established that when solving similar tasks, it is necessary to take into account the evolution of the meso- and microstructure, including nucleation and development of defects at various structural and scale levels. Consideration of the dislocation structure evolution enables establishing the regions of dislocation accumulation and, as a consequence, simulating the nucleation and subsequent development of microcracks. The purpose of the present study is to develop and realize the dislocation-oriented direct elasto-visco-plastic model, taking into account the processes of microcrack nucleation. The structure and the algorithm of the numerical implementation of the direct model have been presented; the structural levels of the description of elasto-plastic deformation have been identified; a system of evolution equations for the description of dislocation motions and dislocation substructures formation on slip systems with subsequent transition to destruction has been presented. Using the parameters, characterising the dislocation structure, a criterion of the transition into the destructed state has been suggested, in which the material element of the appropriate scale level loses an ability to resist external impacts. The description of the application software package intended for the implementation of multilevel models of the representative volume of polycrystalline solids has been given. The submodel of the description of the dislocation density evolution of the crystallite has been realised; the influence of the mechanisms of nucleation and annihilation of dislocations on their total density has been analysed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bengus, V.Z., et al.: Plasticity of the nanostructural and polycrystalline titan at temperatures 300, 77, and 4.2. Metallophys. Adv. Technol. 26(11), 1483–1492 (2004). (in Russian)
Valiev, R.Z., Najmark, O.B.: Bulk nanostructured materials: unique properties and innovative potential. Innovations 12(110), 70–76 (2007). (in Russian)
Gorynin, I.V.: Creation of structural and functional nanomaterials. Innovations 6(116), 34–43 (2008). (in Russian)
Islamgaliev, R.K., Nesterov, K.M., Khafizova, E.D., Ganeev, A.V., Golubovskiy, E.R., Volkov, M.E.: Strength and fatigue of ultrafine-grained aluminum-based alloy AK4-1. Vestnik UGATU 16(8–53), 104–109 (2012). (in Russian)
Islamgaliev, R.K., Ganeev, A.V., Nikitina, M.A., Karavaeva, M.V.: Structure and properties of ultrafine-grained martensitic steel. Vestnik UGATU 20(3–73), 19–24 (2016). (in Russian)
Sitdikov, O.S.: Effect of multidirectional forging on the fine-grained structure development in a high-strength aluminum alloy. Lett. Mater. 3(3), 215–220 (2013). (in Russian)
Gleiter, H.: Nanocrystallinematerials. Prog. Mater. Sci. 33, 223–315 (1989). https://doi.org/10.1016/0079-6425(89)90001-7
López-Chipres, E., Garcia-Sanchez, E., Ortiz-Cuellar, E., Hernandez-Rodriguez, M.A.L., Colás, R.: Optimization of the severe plastic deformation processes for the grain refinement of Al6060 alloy using 3D FEM analysis. J. Mater. Eng. Perform. 1–7 (2010). https://doi.org/10.1007/s11665-010-9783-1
Suwas, S., Bhowmik, A., Biswas, S.: Ultra-fine grain materials by severe plastic deformation: application to steels. In: Haldar, A., Suwas, S., Bhattacharjee D. (eds.). Microstructure and Texture in Steels, pp. 325–344 (2009). https://doi.org/10.1007/978-1-84882-454-6_19
Valiev, R.Z., Islamgaliev, R.K., Alexandrov, I.V.: Bulk nanostructured materials from severe plastic deformation. Prog. Mater. Sci. 45(2), 103–189 (2000). https://doi.org/10.1016/s0079-6425(99)00007-9
Valiev, R.Z., Aleksandrov, I.V.: Nanostructured materials obtained by severe plastic deformation. Logos, Moscow (2000). (in Russian)
Noskova, N.I., Mulyukov, R.R.: Submicrocrystalline and nanocrystalline metals and alloys. UrO RAN, Ekaterinburg (2003). (in Russian)
Murashkin, M.Y., Markushev, M.V., Ivanisenko, Y.V., Valiev, R.Z.: Strength of commercial aluminum alloys after equal channel angular pressing (ECAP) and post-ECAP processing. Solid State Phenom. 114, 91–96 (2016). https://doi.org/10.4028/www.scientific.net/SSP.114.91
Hong, X., Godfrey, A., Zhang, C.L., Liu, W., Chapuis, A.: Investigation of grain subdivision at very low plastic strains in a magnesium alloy. Mater. Sci. Eng. 693, 14–21 (2017). https://doi.org/10.1016/j.msea.2017.03.080
Dobatkin, S., et al.: Grain refinement, texture, and mechanical properties of a magnesium alloy after radial-shear rolling. J. Alloy. Compd. 774, 969–979 (2019). https://doi.org/10.1016/j.jallcom.2018.09.065
Song, M., et al.: Grain refinement mechanisms and strength-hardness correlation of ultrafine grained grade 91 steel processed by equal channel angular extrusion. Int. J. Pressure Vessels Pip. 172, 212–219 (2019). https://doi.org/10.1016/j.ijpvp.2019.03.025
Trusov, P.V., Shveykin, A.I.: Multilevel models of mono- and polycrystalline materials: theory, algorithms, application examples. SO RAN, Novosibirsk (2019). https://doi.org/10.15372/multilevel2019tpv (in Russian)
Volegov, P.S., Gribov, D.S., Trusov, P.V.: Damage and fracture: review of experimental studies. Phys. Mesomech. 19(3), 319–331 (2016). https://doi.org/10.1134/s1029959916030103
Tang, X.S., Wei, T.T.: Microscopic inhomogeneity coupled with macroscopic homogeneity: A localized zone of energy density for fatigue crack growth. Int. J. Fatigue 70, 270–277 (2015). https://doi.org/10.1016/j.ijfatigue.2014.10.003
Naimark, O.B.: Collective properties of defect ensembles and some nonlinear problems of plasticity and fracture. Phys. Mesomech. 6(4), 45–72 (2003). (in Russian)
Volegov, P.S., Gribov, D.S., Trusov, P.V.: Damage and fracture: classical continuum theories. Phys. Mesomech. 20(2), 157–173 (2017). https://doi.org/10.1134/s1029959917020060
Volegov, P.S., Gribov, D.S., Trusov, P.V.: Damage and fracture: crystal plasticity models. Phys. Mesomech. 20(2), 174–184 (2017). https://doi.org/10.1134/s1029959917020072
McDowell, D.L., Olson, G.B.: Concurrent design of hierarchical materials and structures. Sci. Model Simul. 15(1–3), 207–240 (2010). https://doi.org/10.1007/s10820-008-9100-6
Nakamachi, E., Kuramae, H., Sakamoto, H., Morimoto, H.: Process metallurgy design of aluminum alloy sheet rolling by using two-scale finite element analysis and optimization algorithm. Int. J. Mech. Sci. 52, 146–157 (2010). https://doi.org/10.1016/j.proeng.2011.04.372
Vladimirov, V.I.: The physical nature of metals fracture. Metallurgy, Moscow (1984). (in Russian)
Gerard, A.: Maugin Continuum Mechanics of Electromagnetic Solids, North-Holland etc, (1988)
McDowell, D.L.: Internal state variable theory. In: Yip, S. (ed.), Handbook of Materials Modeling. Springer, pp. 1151–1169 (2005). https://doi.org/10.1007/978-1-4020-3286-8_58
Pozdeev, A.A., Trusov, P.V., Nyashin, YuI: The Large Elastoplastic Deformation: Theory, Algorithms, Applications. Nauka, Moscow (1986). (in Russian)
Taylor, G.I.: Plastic strain in metals. J. Inst. Metals 62, 307–324 (1938)
Meyers, M.A., Benson, D.J., Vohringer, O., Kad, B.K., Xue, Q., Fu, H.-H.: Constitutive description of dynamic deformation: physically-based mechanisms. Mater. Sci. Eng. 322(1–2), 194–216 (2002)
Roters, F., Eisenlohr, P., Hantcherli, L., Tjahjanto, D.D., Bieler, T.R., Raabe, D.: Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Materialia 58, 1152–1211 (2010). https://doi.org/10.1016/j.actamat.2009.10.058
Hirth, J.P., Lothe, J.: Theory Of Dislocations. McGraw-Hill, New York (1968)
Austin, R.A., McDowell, D.L.: A dislocation-based constitutive model for viscoplastic deformation of FCC metals at very high strain rates. Int. J. Plast. 27(1), 1–24 (2011)
Leung, H.S., Leung, P.S.S., Cheng, B., Ngan, A.H.W.: A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions. Int. J. Plast. 67, 1–25 (2015). https://doi.org/10.1016/j.ijplas.2014.09.009
Stroh, A.N.: The formation of cracks as a result of plastic flow. Proc. R. Soc. London. Ser. 223, 404–414 (1954). https://doi.org/10.1098/rspa.1954.0124
Acknowledgments
The work was supported by the Russian Science Foundation (grant No. 17-19-01292).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Kurmoiartseva, K., Kotelnikova, N., Trusov, P. (2020). Modeling of Polycrystalline Materials Deformation with Dislocation Structure Evolution and Transition to Fracture. In: Jordan, V., Filimonov, N., Tarasov, I., Faerman, V. (eds) High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production. HPCST 2020. Communications in Computer and Information Science, vol 1304. Springer, Cham. https://doi.org/10.1007/978-3-030-66895-2_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-66895-2_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-66894-5
Online ISBN: 978-3-030-66895-2
eBook Packages: Computer ScienceComputer Science (R0)