Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Analytical, computational and physical models Vol. 20, No. 77 (2026)

Modeling subgrain structure evolution during heat treatment

Author and affiliation details
DOI
10.3221/IGF-ESIS.77.14
Pages
230-246
Published
Licence
CC BY 4.0
Published inVol. 20, No. 77 (2026)Go to the issue

Abstract

This paper presents a novel modification of the multilevel statistical model for describing the subgrain boundary migration that can explicitly account for the topology of subgrain structures in the form of Laguerre polyhedra. The evolution of a representative volume of subgrains during annealing in the temperature range  200 - 340 °C  after plastic deformation taking into account competing recovery processes like coalescence and subgrain boundary migration is modeled. The material used in this study is the nickel-based superalloy Inconel 718 with complex hierarchical structure and specific phase composition. The results of modeling the changes in a polyhedral subgrain structure under recovery are presented. The contribution of subgrain coalescence and migration processes to recovery is evaluated. The abnormal growth of subgrains is described by the model, the conditions of its occurrence and implementation are defined. The calculated data demonstrate good agreement with experimental results.

Keywords

Article history

  1. ReceivedUntil the next stage: 23 days
  2. RevisedUntil the next stage: 4 days
  3. AcceptedUntil the next stage: 8 days
  4. Published

Statements

Funding

Russian Science Foundation grant No. 25-29-00460, https://rscf.ru/project/25-29-00460/

How to cite

APA

Kondratev, N., Bezverkhy, D., & Baldin, M. (2026). Modeling subgrain structure evolution during heat treatment. Fracture and Structural Integrity, 20(77), 230–246. https://doi.org/10.3221/IGF-ESIS.77.14

IEEE

N. Kondratev, D. Bezverkhy, and M. Baldin, “Modeling subgrain structure evolution during heat treatment,” Fracture and Structural Integrity, vol. 20, no. 77, pp. 230–246, 2026, doi: 10.3221/IGF-ESIS.77.14.

MLA

Kondratev, Nikita, et al. “Modeling subgrain structure evolution during heat treatment.” Fracture and Structural Integrity, vol. 20, no. 77, 2026, pp. 230–246. https://doi.org/10.3221/IGF-ESIS.77.14.

Chicago

Kondratev, Nikita, Dmitry Bezverkhy, and Matvej Baldin. 2026. “Modeling subgrain structure evolution during heat treatment.” Fracture and Structural Integrity 20 (77): 230–246. https://doi.org/10.3221/IGF-ESIS.77.14.

Harvard

Kondratev, N., Bezverkhy, D. and Baldin, M. (2026) ‘Modeling subgrain structure evolution during heat treatment’, Fracture and Structural Integrity, 20(77), pp. 230–246. doi: 10.3221/IGF-ESIS.77.14.

Vancouver

Kondratev N, Bezverkhy D, Baldin M. Modeling subgrain structure evolution during heat treatment. Fracture and Structural Integrity. 2026;20(77):230-246. doi:10.3221/IGF-ESIS.77.14

BibTeX

@article{kondratev2026, author = {Kondratev, Nikita and Bezverkhy, Dmitry and Baldin, Matvej}, title = {Modeling subgrain structure evolution during heat treatment}, journal = {Fracture and Structural Integrity}, year = {2026}, volume = {20}, number = {77}, pages = {230--246}, doi = {10.3221/IGF-ESIS.77.14}, url = {https://doi.org/10.3221/IGF-ESIS.77.14}, issn = {1971-8993} }

RIS

TY - JOUR AU - Kondratev, Nikita AU - Bezverkhy, Dmitry AU - Baldin, Matvej TI - Modeling subgrain structure evolution during heat treatment JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2026 DA - 2026/05/05 VL - 20 IS - 77 SP - 230 EP - 246 DO - 10.3221/IGF-ESIS.77.14 UR - https://doi.org/10.3221/IGF-ESIS.77.14 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2026 Nikita Kondratev, Dmitry Bezverkhy, Matvej Baldin.

Copyright 
Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.  

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