PSI - Issue 40

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000

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Procedia Structural Integrity 40 (2022) 239–244

© 2022 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics of Materials and Structures. Abstract In widespread multilevel statistical crystal plasticity models for describing the deformable polycrystalline materials behavior the spatial arrangement of structural elements (grains, subgrains) isn't usually considered. At the same time for analyzing some physical mechanisms that have a significant effect on the polycrystals properties (for example, grain-boundary hardening, grain boundary sliding, recrystallization, etc.), taking into account the mutual location of crystallites is critically important. In this regard, the authors have previously developed the statistical two-level elastic-viscoplastic model modification, which makes it possible to take into account this mutual arrangement. To implement this statistical model, information on a grain (subgrain) structure of investigated materials is required. The paper considers the procedure for describing the grain structure formation, based on using the polyhedra formed by the Laguerre method in a three-dimensional Euclidean space, with subsequent processing and transmission of the necessary data for setting a grain structure into the modified statistical model. © 2022 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. Keywords: grain structure; Laguerre polyhedra; grain size distribution; crystal plasticity; two-level statistical model modification. 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Stru tures The polycrystals grain structure formation for modified two-level crystal plasticity statistical models N. Kondratev * , A. Podsedertsev, P. Trusov Perm National Research Polytechnic University, 29 Komsomolsky Ave., Perm, 614990, Russian Abstract In widespread multilevel statistical crystal plasticity models for describing the deformable polycrystalline materials behavior the spatial ar ange ent of structural elements (grains, subgrains) isn't usually considered. At the same time for nalyzing som physical mechanisms tha have significant effect on the polycrystals properties (for xample, grain-boundary h rdening, grain bound ry sliding, recrys allization, etc.), taking into account the mutual location of crysta lites is critically importa t. In this regar , the authors have previously developed the statistical two-level elastic-visc plastic model modification, which makes t possible to take into account thi mutua arrangemen . To implement this statistical model, infor ation on a grain (subgrain) structur f investigated materials is required. The paper consid rs the procedure for describi g the grain structure formatio , based on usi g the polyhedra formed by the Laguerre method in a thr e-dimensional Euclidean space, with subseque t processi g and transmission of the necessar data for s tting a grain structure into th m dified statistical mod l. © 2022 The Au hor . Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review u der re ponsibility of scientific committe of the15th International C ference o Mechanics, Resource and Diagnostics of Materials and S ructur s. Keywords: grain structure; L guerre polyh dra; grain size distribution; crystal plasticity; two-level statistical model modification. 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures The polycrystals grain structure formation for modified two-level crystal plasticity statistical models N. Kondratev * , A. Podsedertsev, P. Trusov Perm National Research Polytechnic University, 29 Komsomolsky Ave., Perm, 614990, Russian

* Corresponding author. Tel.: +7-342-239-12-97. E-mail address: kondratev@pstu.ru * Corresponding author. Tel.: +7-342-239-12-97. E-mail ad ress: kondrat v@pstu.ru

2452-3216 © 2022 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. 2452-3216 © 2022 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review u der re ponsibility of scientific committe of the15th Int rnational C ference o Mechanics, Resource and Diagnostics of Mate ials and Structures.

2452-3216 © 2022 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics

of Materials and Structures. 10.1016/j.prostr.2022.04.032