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Recrystallization at Crack Surfaces as a Specific Fracture Mechanism at Elevated Temperatures—Cellular Automata Simulation

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Abstract

A new hybrid discrete-continuum cellular automata approach is proposed to simulate the process of new phase/grain nucleation and growth. The method couples classical thermomechanics and the logics of cellular automata switching. Within the framework of the hybrid discrete-continuum cellular automata method, the space occupied by the simulated specimen is represented as a cellular automaton—a set of ordered active elements. Every element imitates an immovable region of space related to a part of material being characterized by the certain numerical parameters. The proposed approach enables calculating the magnitude of the local force moments and simulating dissipation of torsion energy leading to the formation of new defect structures. To illustrate the capacity of the proposed hybrid discrete-continuum cellular automata approach, the numerical simulations of thermally activated recrystallization of pure titanium near crack faces were conducted. The 3D cellular automaton simulated the microstructure evolution of the V-notched specimen region that imitated the crack tip vicinity at high homologous temperatures. Calculation of heat expansion with simultaneous thermal stresses accumulation and microrotation initiation was incorporated in the simulations permitting thereby to evaluate the local entropy and to monitor the evolution of crystal defects from initiation to storage. Perspectives of the proposed algorithms for simulations of the mechanical behavior of materials experiencing thermally induced twining or phase transformations are discussed.

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References

  1. Ren, F., Chen, F., and Chen, J., Investigation on Dynamic Recrystallization Behavior of Martensitic Stainless Steel, Adv. Mater. Sci. Eng., 2014. doi https://doi.org/10.1155/2014/986928

  2. Wang, Y., Shao, W.Z., Zhen, L., Lin, L., and Cui, Y.X., Investigation on Dynamic Recrystallization Behavior in Hot Deformed Superalloy Inconel 718, Mater. Sci. Forum, 2007, pp. 546–549, 1297–1300. doi https://doi.org/10.4028/www.scientific.net/MSF.546-549.1297

  3. Panin, V.E., Egorushkin, V.E., Moiseenko, D.D., Maksimov, P.V., Kulkov, S.N., and Panin, S.V., Functional Role of Polycrystal Grain Boundaries and Interfaces in Micromechanics of Metal Ceramic Composites under Loading, Comp. Mater. Sci., 2016, vol. 116, pp. 74–81. doi https://doi.org/10.1016/j.commatsci.2015.10.045

    Article  Google Scholar 

  4. Moiseenko, D.D., Maksimov, P.V., Panin, S.V., and Panin, V.E., Defect Accumulation in Nanoporous Wear-Resistant Coatings under Collective Recrystallization. Simulation by Hybrid Cellular Automaton Method, Proc. VII Eur. Cong. Comput. Meth. Appl. Sci. Eng. Papadrakakis, M., Papadopoulos, V., Stefanou, G., Plevris, V., Eds., Crete Island, Greece, 5–10 June 2016, vol. 1, pp. 2080–2098.

  5. Moiseenko, D.D., Panin, S.V., Maksimov, P.V., Panin, V.E., and Berto, F., Behavior of Nanoporous Thermal Barrier Coatings under Cyclic Thermal Loading. Computer-Aided Simulation, AIP Conf. Proc., 2015, vol. 1683, pp. 20152–1–020152–5. doi https://doi.org/10.1063/1.4932842

    Google Scholar 

  6. Moiseenko, D.D., Panin, V.E., and Elsukova, T.F., Role of Local Curvature in Grain Boundary Sliding in a Deformed Polycrystal, Phys. Mesomech., 2013, vol. 16, no. 4, pp. 335–347. doi https://doi.org/10.1134/S1029959913040073

    Article  Google Scholar 

  7. Moiseenko, D.D., Pochivalov, Yu.I., Maksimov, P.V., and Panin, V.E., Rotational Deformation Modes in Near-Boundary Regions of Grain Structure in a Loaded Polycrystal, Phys. Mesomech., 2013, vol. 16, no. 3, pp. 248–258. doi https://doi.org/10.1134/S1029959913030077

    Article  Google Scholar 

  8. Panin, S.V., Vinogradov, A., Moiseenko, D.D., Maksimov, P.V., Berto, F., Byakov, A.V., Eremin, A.V., and Narkevich, N.A., Numerical and Experimental Study of Strain Localization in Notched Specimens of a Ductile Steel on Meso- and Macroscales, Adv. Eng. Mater., 2016, vol. 18, pp. 2095–2106. doi https://doi.org/10.1002/adem.201600206

    Article  Google Scholar 

  9. Moiseenko, D.D., Panin, V.E., Maksimov, P.V., Panin, S.V., and Berto, F., Material Fragmentation as Dissipative Process of Micro Rotation Sequence Formation: Hybrid Model of Excitable Cellular Automata, AIP Conf. Proc., 2014, vol. 1623, pp. 427–430. doi https://doi.org/10.1063/1.4898973

    Article  Google Scholar 

  10. Moiseenko, D.D., Panin, S.V., Maksimov, P.V., Panin, V.E., Babich, D.S., and Berto, F., Computer Simulation of Material Behavior at the Notch Tip: Effect of Microrotations on Elastic Energy Release, AIP Conf. Proc., 2016, vol. 1783, pp. 020157–1–020157–5. doi https://doi.org/10.1063/1.4966450

    Google Scholar 

  11. Humphreys, F.J. and Hatherly, M., Recrystallization and Related Annealing Phenomena, Oxford: Elsevier, 2004.

    Google Scholar 

  12. Kroc, J., Application of Cellular Automata Simulations to Modelling of Dynamic Recrystallization, Lect. Notes Comput. Sci., 2002, vol. 2329, pp. 773–782. doi https://doi.org/10.1007/3-540-46043-8_78

    Article  Google Scholar 

  13. Godara, A. and Raabe, D., Mesoscale Simulation of the Kinetics and Topology of Spherulite Growth during Crystallization of Isotactic Polypropylene (iPP) by Using a Cellular Automaton, Model. Simul. Mater. Sci. Eng., 2005, vol. 13, pp. 733–751. doi https://doi.org/10.1088/0965-0393/13/5/007

    Article  ADS  Google Scholar 

  14. Kuhn, F., Zeismann, F., and Brückner-Foit, A., Crack Growth Mechanisms in an Aged Superalloy at High Temperature, Int. J. Fatig., 2014, vol. 65, pp. 86–92.

    Article  Google Scholar 

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Funding

This work was performed within the frame of direction of research III.23 of Basic Research Program of State Academies of Sciences for 2013–2020. The work was also supported by the RFBR grant No. 18-08-00516_a and the RF President Council Grant for the support of leading research schools NSh-2718.2020.8.

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Authors and Affiliations

  1. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, Tomsk, 634055, Russia

    D. D. Moiseenko, P. V. Maksimov, S. V. Panin & V. E. Panin

  2. National Research Tomsk Polytechnic University, Tomsk, 634050, Russia

    S. V. Panin

  3. Institute for Materials Testing, Materials Science and Strength of Materials (IMWF), University of Stuttgart, Stuttgart, 70569, Germany

    S. Schmauder

  4. National Research Tomsk State University, Tomsk, 634050, Russia

    D. S. Babich

  5. Norwegian University of Science and Technology, Trondheim, 7491, Norway

    F. Berto & A. Yu. Vinogradov

  6. Institut für Werkstofftechnik Qualität und Zuverlässigkeit, University of Kassel, Kassel, 34125, Germany

    A. Brückner-Foit

Authors
  1. D. D. Moiseenko
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  2. P. V. Maksimov
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  3. S. V. Panin
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  4. S. Schmauder
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  5. V. E. Panin
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  6. D. S. Babich
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  7. F. Berto
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  8. A. Yu. Vinogradov
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  9. A. Brückner-Foit
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Corresponding author

Correspondence to D. D. Moiseenko.

Additional information

Russian Text © The Author(s), 2018, published in Fizicheskaya Mezomekhanika, 2018, Vol. 21, No. 5, pp. 23–33.

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Moiseenko, D.D., Maksimov, P.V., Panin, S.V. et al. Recrystallization at Crack Surfaces as a Specific Fracture Mechanism at Elevated Temperatures—Cellular Automata Simulation. Phys Mesomech 23, 1–12 (2020). https://doi.org/10.1134/S1029959920010014

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  • DOI: https://doi.org/10.1134/S1029959920010014

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