Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Analytical, computational and physical models Vol. 19, No. 74 (2025)

Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity

Author and affiliation details
  • Eugeniia Feklistova Corresponding author Center of Experimental Mechanics, Perm National Research Polytechnic University, Russia ORCID iD0000-0002-0025-6204 cem.feklistova@mail.ru
  • Artur Mugatarov Center of Experimental Mechanics, Perm National Research Polytechnic University, Russia ORCID iD0000-0002-2229-8181
  • Valeriy Wildemann Center of Experimental Mechanics, Perm National Research Polytechnic University, Russia ORCID iD0000-0002-6240-4022
DOI
10.3221/IGF-ESIS.74.05
Pages
55-72
Published
Licence
CC BY 4.0
Published inVol. 19, No. 74 (2025)Go to the issue

Abstract

This work is dedicated to the development of a fracture model for an elastic-brittle solid with statistically distributed strength characteristics of subregions and the application of this model to describe fracture processes of bodies with stress concentrators under biaxial loading. The methodology of numerical modeling of deformation and fracture processes is improved to take into account the partial loss of load bearing capacity and the appearance of local anisotropy. Based on the improved methodology, modified algorithm is developed. The influence of the biaxial loading mode and the dispersion of the ultimate strength distribution on the loading diagrams and the orientation of the macrodefect is considered. The realization of the gradual macrodefect development (localized type of damage accumulation) or its growth through the most weakened damaged areas (mixed type) is revealed. The applicability of the approach to assessing the type of damage accumulation based on the analysis of numerical solutions of boundary value problems within the elasticity theory is demonstrated. The efficiency of the usage of the modified approach to ensure the reliability and safety of critical structures under multiaxial loading is concluded.

Keywords

Article history

  1. ReceivedUntil the next stage: 19 days
  2. Revision requestedUntil the next stage: 3 days
  3. RevisedUntil the next stage: 0 days
  4. AcceptedUntil the next stage: 4 days
  5. Published

Statements

Funding

This research was funded by Ministry of science and higher education of the Russian Federation (Project № FSNM-2024-0013)

How to cite

APA

Feklistova, E., Mugatarov, A., & Wildemann, V. (2025). Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity. Fracture and Structural Integrity, 19(74), 55–72. https://doi.org/10.3221/IGF-ESIS.74.05

IEEE

E. Feklistova, A. Mugatarov, and V. Wildemann, “Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity,” Fracture and Structural Integrity, vol. 19, no. 74, pp. 55–72, 2025, doi: 10.3221/IGF-ESIS.74.05.

MLA

Feklistova, Eugeniia, et al. “Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity.” Fracture and Structural Integrity, vol. 19, no. 74, 2025, pp. 55–72. https://doi.org/10.3221/IGF-ESIS.74.05.

Chicago

Feklistova, Eugeniia, Artur Mugatarov, and Valeriy Wildemann. 2025. “Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity.” Fracture and Structural Integrity 19 (74): 55–72. https://doi.org/10.3221/IGF-ESIS.74.05.

Harvard

Feklistova, E., Mugatarov, A. and Wildemann, V. (2025) ‘Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity’, Fracture and Structural Integrity, 19(74), pp. 55–72. doi: 10.3221/IGF-ESIS.74.05.

Vancouver

Feklistova E, Mugatarov A, Wildemann V. Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity. Fracture and Structural Integrity. 2025;19(74):55-72. doi:10.3221/IGF-ESIS.74.05

BibTeX

@article{feklistova2025, author = {Feklistova, Eugeniia and Mugatarov, Artur and Wildemann, Valeriy}, title = {Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity}, journal = {Fracture and Structural Integrity}, year = {2025}, volume = {19}, number = {74}, pages = {55--72}, doi = {10.3221/IGF-ESIS.74.05}, url = {https://doi.org/10.3221/IGF-ESIS.74.05}, issn = {1971-8993} }

RIS

TY - JOUR AU - Feklistova, Eugeniia AU - Mugatarov, Artur AU - Wildemann, Valeriy TI - Numerical modeling of fracture processes of bodies with stress concentrators under conditions of proportional loading, taking into consideration the statistical distribution of ultimate strength and partial loss of load bearing capacity JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2025 DA - 2025/07/29 VL - 19 IS - 74 SP - 55 EP - 72 DO - 10.3221/IGF-ESIS.74.05 UR - https://doi.org/10.3221/IGF-ESIS.74.05 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2025 Eugeniia Feklistova, Artur Mugatarov, Valeriy Wildemann.

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

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