Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances
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 energ...
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Gruppo Italiano Frattura
2019-06-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2481 |
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| author | Oleg Naimark |
| author_facet | Oleg Naimark |
| author_sort | Oleg Naimark |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7bda5274b2624944a09e19968d322115 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2019-06-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-7bda5274b2624944a09e19968d3221152025-01-03T00:40:22ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-06-011349Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical DistancesOleg Naimark0ICMM UB RASThe 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.https://www.fracturae.com/index.php/fis/article/view/2481Singularity dualityCritical distance theory |
| spellingShingle | Oleg Naimark Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances Fracture and Structural Integrity Singularity duality Critical distance theory |
| title | Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances |
| title_full | Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances |
| title_fullStr | Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances |
| title_full_unstemmed | Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances |
| title_short | Duality of singularities of multiscale damage localization and crack advance: length variety in Theory of Critical Distances |
| title_sort | duality of singularities of multiscale damage localization and crack advance length variety in theory of critical distances |
| topic | Singularity duality Critical distance theory |
| url | https://www.fracturae.com/index.php/fis/article/view/2481 |
| work_keys_str_mv | AT olegnaimark dualityofsingularitiesofmultiscaledamagelocalizationandcrackadvancelengthvarietyintheoryofcriticaldistances |