Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Fatigue and Fracture of metallic alloys Vol. 18, No. 70 (2024)

Self-similarity of damage-failure transition and the power laws of fatigue crack advance

Author and affiliation details
  • Mikhail Bannikov Institute of Continuous Media Mechanics of Ural branch of RAS, 614013, Perm, Russia ORCID iD0000-0002-5737-1422
  • Vladimir Oborin Institute of Continuous Media Mechanics of Ural branch of RAS, 614013, Perm, Russia ORCID iD0000-0003-2836-2073
  • Oleg Naimark Corresponding author Institute of Continuous Media Mechanics of Ural branch of RAS, 614013, Perm, Russia ORCID iD0000-0001-6537-1177 naimark@icmm.ru
DOI
10.3221/IGF-ESIS.70.16
Pages
272-285
Published
Licence
CC BY 4.0
Published inVol. 18, No. 70 (2024)Go to the issue

Abstract

We propose the interpretation of the Finite Fracture Mechanics based on the criticality of damage-failure transition due to specific metastability of free energy release. Multiscale mechanisms of fatigue damage-failure transitions in metals are studied for Very High Cycle Fatigue and analyzed as duality of inherently linked two types of singularities related to the collective modes of defects and singularity of stress field as the classical framework of fracture mechanics. Development of collective modes of defects (solitary waves of plastic strain localization and blow-up dissipative structures of damage localization) with the nature of intermediate self-similar solutions are considered for the interpretation of the incomplete self-similarity and mechanism of small crack nucleation (“fish-eye” area in VHCF) and growth up to the Paris crack size. Spatial structural scales corresponding to different stages of damage-failure transition were identified due to the analysis of roughness correlation and estimating of the power (the Hurst) exponent and corresponding structural lengths of characteristic fracture surface areas These lengths and power exponents were used in the constitutive laws as the structure sensitive parameters for characteristic damage-failure transition stages (small crack initiation and growth, the Paris crack advance).

Keywords

Article history

  1. ReceivedUntil the next stage: 69 days
  2. RevisedUntil the next stage: 2 days
  3. AcceptedUntil the next stage: 10 days
  4. Published

How to cite

APA

Bannikov, M., Oborin, V., & Naimark, O. (2024). Self-similarity of damage-failure transition and the power laws of fatigue crack advance. Fracture and Structural Integrity, 18(70), 272–285. https://doi.org/10.3221/IGF-ESIS.70.16

IEEE

M. Bannikov, V. Oborin, and O. Naimark, “Self-similarity of damage-failure transition and the power laws of fatigue crack advance,” Fracture and Structural Integrity, vol. 18, no. 70, pp. 272–285, 2024, doi: 10.3221/IGF-ESIS.70.16.

MLA

Bannikov, Mikhail, et al. “Self-similarity of damage-failure transition and the power laws of fatigue crack advance.” Fracture and Structural Integrity, vol. 18, no. 70, 2024, pp. 272–285. https://doi.org/10.3221/IGF-ESIS.70.16.

Chicago

Bannikov, Mikhail, Vladimir Oborin, and Oleg Naimark. 2024. “Self-similarity of damage-failure transition and the power laws of fatigue crack advance.” Fracture and Structural Integrity 18 (70): 272–285. https://doi.org/10.3221/IGF-ESIS.70.16.

Harvard

Bannikov, M., Oborin, V. and Naimark, O. (2024) ‘Self-similarity of damage-failure transition and the power laws of fatigue crack advance’, Fracture and Structural Integrity, 18(70), pp. 272–285. doi: 10.3221/IGF-ESIS.70.16.

Vancouver

Bannikov M, Oborin V, Naimark O. Self-similarity of damage-failure transition and the power laws of fatigue crack advance. Fracture and Structural Integrity. 2024;18(70):272-285. doi:10.3221/IGF-ESIS.70.16

BibTeX

@article{bannikov2024, author = {Bannikov, Mikhail and Oborin, Vladimir and Naimark, Oleg}, title = {Self-similarity of damage-failure transition and the power laws of fatigue crack advance}, journal = {Fracture and Structural Integrity}, year = {2024}, volume = {18}, number = {70}, pages = {272--285}, doi = {10.3221/IGF-ESIS.70.16}, url = {https://doi.org/10.3221/IGF-ESIS.70.16}, issn = {1971-8993} }

RIS

TY - JOUR AU - Bannikov, Mikhail AU - Oborin, Vladimir AU - Naimark, Oleg TI - Self-similarity of damage-failure transition and the power laws of fatigue crack advance JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2024 DA - 2024/09/17 VL - 18 IS - 70 SP - 272 EP - 285 DO - 10.3221/IGF-ESIS.70.16 UR - https://doi.org/10.3221/IGF-ESIS.70.16 SN - 1971-8993 ER -

Licence

Creative Commons Attribution 4.0 International

May be shared and adapted, provided appropriate credit is given. Copyright © 2024 Mikhail Bannikov, Vladimir Oborin, Oleg Naimark.

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

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