Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Fatigue and Fracture of non metallic materials Vol. 20, No. 77 (2026)

Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification

Author and affiliation details
  • Oleg Staroverov Corresponding author Perm National Research Polytechnic University, Russia ORCID iD0000-0001-6095-0962 oastaroverov@pstu.ru
  • Artur Mugatarov Perm National Research Polytechnic University, Russia ORCID iD0000-0002-2229-8181
  • Anastasia Sivtseva Perm National Research Polytechnic University, Russia ORCID iD0000-0002-4348-7491
  • Valeriy Wildemann Perm National Research Polytechnic University, Russia
DOI
10.3221/IGF-ESIS.77.10
Pages
138-172
Published
Licence
CC BY 4.0
Published inVol. 20, No. 77 (2026)Go to the issue

Abstract

In this work, a review and mathematical analysis of phenomenological models of residual strength and residual stiffness of polymer composite materials under fatigue loading have been carried out. The methodology of the analysis is described in detail, including various approaches to determining damage based on changes in mechanical properties, as well as the requirements for functions that can be used to describe experimental dependencies. The considered models have been classified according to the characteristic form of their mathematical function: polynomial, power, exponential, logarithmic, and trigonometric models. A distinct category has been established for models utilizing cumulative distribution functions. The possibilities for further development and application of phenomenological models of residual mechanical properties for the improvement of strength analysis approaches for composite structures have been outlined.

Keywords

Article history

  1. ReceivedUntil the next stage: 33 days
  2. RevisedUntil the next stage: 0 days
  3. AcceptedUntil the next stage: 2 days
  4. Published

Statements

Funding

grant No. 25-79-10194 from the Russian Science Foundation, https://rscf.ru/project/25-79-10194/

How to cite

APA

Staroverov, O., Mugatarov, A., Sivtseva, A., & Wildemann, V. (2026). Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification. Fracture and Structural Integrity, 20(77), 138–172. https://doi.org/10.3221/IGF-ESIS.77.10

IEEE

O. Staroverov, A. Mugatarov, A. Sivtseva, and V. Wildemann, “Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification,” Fracture and Structural Integrity, vol. 20, no. 77, pp. 138–172, 2026, doi: 10.3221/IGF-ESIS.77.10.

MLA

Staroverov, Oleg, et al. “Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification.” Fracture and Structural Integrity, vol. 20, no. 77, 2026, pp. 138–172. https://doi.org/10.3221/IGF-ESIS.77.10.

Chicago

Staroverov, Oleg, Artur Mugatarov, Anastasia Sivtseva, and Valeriy Wildemann. 2026. “Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification.” Fracture and Structural Integrity 20 (77): 138–172. https://doi.org/10.3221/IGF-ESIS.77.10.

Harvard

Staroverov, O., Mugatarov, A., Sivtseva, A. and Wildemann, V. (2026) ‘Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification’, Fracture and Structural Integrity, 20(77), pp. 138–172. doi: 10.3221/IGF-ESIS.77.10.

Vancouver

Staroverov O, Mugatarov A, Sivtseva A, Wildemann V. Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification. Fracture and Structural Integrity. 2026;20(77):138-172. doi:10.3221/IGF-ESIS.77.10

BibTeX

@article{staroverov2026, author = {Staroverov, Oleg and Mugatarov, Artur and Sivtseva, Anastasia and Wildemann, Valeriy}, title = {Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification}, journal = {Fracture and Structural Integrity}, year = {2026}, volume = {20}, number = {77}, pages = {138--172}, doi = {10.3221/IGF-ESIS.77.10}, url = {https://doi.org/10.3221/IGF-ESIS.77.10}, issn = {1971-8993} }

RIS

TY - JOUR AU - Staroverov, Oleg AU - Mugatarov, Artur AU - Sivtseva, Anastasia AU - Wildemann, Valeriy TI - Phenomenological models of residual mechanical properties of polymer composites under fatigue loading: review, analysis of descriptive ability and classification JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2026 DA - 2026/04/22 VL - 20 IS - 77 SP - 138 EP - 172 DO - 10.3221/IGF-ESIS.77.10 UR - https://doi.org/10.3221/IGF-ESIS.77.10 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2026 Oleg Staroverov, Artur Mugatarov, Anastasia Sivtseva, Valeriy Wildemann.

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

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