Fracture and Structural Integrity e-ISSN 1971-8993 Open access
SI: Russian mechanics contributions for Structural Integrity Vol. 13, No. 49 (2019)

Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances

Author and affiliation details
DOI
10.3221/IGF-ESIS.49.27
Pages
272-281
Published
Published inVol. 13, No. 49 (2019)Go to the issue

Abstract

The existence of two singularities related to the stress field at the crack tip and blow-up kinetics of damage localization is considered as the physical basis for the interpretation of the Theory of Critical Distances. The free energy metastability of solid with defects and corresponding free energy release explain the conception of the Finite Fracture Mechanics in the presence of the finite amplitude energy barrier. The variety of crack paths is analyzed as duality of inherently linked two types of singularities related to the singularity of multiscale damage kinetics under crack nucleation and singularity of stress field at the crack tip as the classical framework of fracture mechanics. The singularity of multiscale damage kinetics is a natural precursor of crack nucleation that could provide in some cases the totally independent scenario of fracture from the stress singularity at the crack tips. The influence of two singularities with the nature of intermediate asymptotical solutions for stress at the crack tip and damage localization kinetics over the set of spatial scales represents two attractors, which provides the variety of crack paths for corresponding loading conditions.

Keywords

Article history

  1. ReceivedUntil the next stage: 47 days
  2. AcceptedUntil the next stage: 29 days
  3. Published

How to cite

APA

Naimark, O. (2019). Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances. Fracture and Structural Integrity, 13(49), 272–281. https://doi.org/10.3221/IGF-ESIS.49.27

IEEE

O. Naimark, “Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances,” Fracture and Structural Integrity, vol. 13, no. 49, pp. 272–281, 2019, doi: 10.3221/IGF-ESIS.49.27.

MLA

Naimark, Oleg. “Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances.” Fracture and Structural Integrity, vol. 13, no. 49, 2019, pp. 272–281. https://doi.org/10.3221/IGF-ESIS.49.27.

Chicago

Naimark, Oleg. 2019. “Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances.” Fracture and Structural Integrity 13 (49): 272–281. https://doi.org/10.3221/IGF-ESIS.49.27.

Harvard

Naimark, O. (2019) ‘Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances’, Fracture and Structural Integrity, 13(49), pp. 272–281. doi: 10.3221/IGF-ESIS.49.27.

Vancouver

Naimark O. Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances. Fracture and Structural Integrity. 2019;13(49):272-281. doi:10.3221/IGF-ESIS.49.27

BibTeX

@article{naimark2019, author = {Naimark, Oleg}, title = {Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances}, journal = {Fracture and Structural Integrity}, year = {2019}, volume = {13}, number = {49}, pages = {272--281}, doi = {10.3221/IGF-ESIS.49.27}, url = {https://doi.org/10.3221/IGF-ESIS.49.27}, issn = {1971-8993} }

RIS

TY - JOUR AU - Naimark, Oleg TI - Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2019 DA - 2019/06/27 VL - 13 IS - 49 SP - 272 EP - 281 DO - 10.3221/IGF-ESIS.49.27 UR - https://doi.org/10.3221/IGF-ESIS.49.27 SN - 1971-8993 ER -

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Copyright © 2019 Oleg Naimark.

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