Is It Possible to Determine the Whole Crack Path at Once?
A brief review of crack path calculation methods using integral principles of mechanics is presented. In twodimensional setting, a crack is considered as a geodesic line on the surface of a body with a metric that depends on the initial stress state. The possibility of approximate determination of c...
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2024-11-01
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| Series: | Structural Mechanics of Engineering Constructions and Buildings |
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| Online Access: | https://journals.rudn.ru/structural-mechanics/article/viewFile/41546/24042 |
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| author | Evgeny M. Morozov Arslan K. Kurbanmagomedov |
| author_facet | Evgeny M. Morozov Arslan K. Kurbanmagomedov |
| author_sort | Evgeny M. Morozov |
| collection | DOAJ |
| description | A brief review of crack path calculation methods using integral principles of mechanics is presented. In twodimensional setting, a crack is considered as a geodesic line on the surface of a body with a metric that depends on the initial stress state. The possibility of approximate determination of crack path on the basis of integral principles is illustrated on a number of problems. In particular, crack paths in a half-plane under uniformly distributed load applied on its edge are determined. The calculations include the stress state of the half-plane taken from the solution for a body without a crack. The fruitfulness of the representation of displacements of crack edges using the Winkler’s hypothesis is shown. To study the subcritical behavior of the crack, the concept of cracon, a quasi-particle simulating the motion of the crack tip, can be introduced. The problem of determining the crack path on the basis of integral principles of mechanics is insufficiently investigated and requires further research. |
| format | Article |
| id | doaj-art-60000b9fb19b4bebb984a35cdfd7c86c |
| institution | Kabale University |
| issn | 1815-5235 2587-8700 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj-art-60000b9fb19b4bebb984a35cdfd7c86c2024-11-19T08:03:24ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002024-11-0120436437310.22363/1815-5235-2024-20-4-364-37321048Is It Possible to Determine the Whole Crack Path at Once?Evgeny M. Morozov0https://orcid.org/0000-0002-4824-8481Arslan K. Kurbanmagomedov1https://orcid.org/0000-0001-9158-0378National Research Nuclear University MEPhIRUDN UniversityA brief review of crack path calculation methods using integral principles of mechanics is presented. In twodimensional setting, a crack is considered as a geodesic line on the surface of a body with a metric that depends on the initial stress state. The possibility of approximate determination of crack path on the basis of integral principles is illustrated on a number of problems. In particular, crack paths in a half-plane under uniformly distributed load applied on its edge are determined. The calculations include the stress state of the half-plane taken from the solution for a body without a crack. The fruitfulness of the representation of displacements of crack edges using the Winkler’s hypothesis is shown. To study the subcritical behavior of the crack, the concept of cracon, a quasi-particle simulating the motion of the crack tip, can be introduced. The problem of determining the crack path on the basis of integral principles of mechanics is insufficiently investigated and requires further research.https://journals.rudn.ru/structural-mechanics/article/viewFile/41546/24042fracture mechanicssolid mechanicscracks pathquasi-brittle fracturefracture stresscomposite material |
| spellingShingle | Evgeny M. Morozov Arslan K. Kurbanmagomedov Is It Possible to Determine the Whole Crack Path at Once? Structural Mechanics of Engineering Constructions and Buildings fracture mechanics solid mechanics cracks path quasi-brittle fracture fracture stress composite material |
| title | Is It Possible to Determine the Whole Crack Path at Once? |
| title_full | Is It Possible to Determine the Whole Crack Path at Once? |
| title_fullStr | Is It Possible to Determine the Whole Crack Path at Once? |
| title_full_unstemmed | Is It Possible to Determine the Whole Crack Path at Once? |
| title_short | Is It Possible to Determine the Whole Crack Path at Once? |
| title_sort | is it possible to determine the whole crack path at once |
| topic | fracture mechanics solid mechanics cracks path quasi-brittle fracture fracture stress composite material |
| url | https://journals.rudn.ru/structural-mechanics/article/viewFile/41546/24042 |
| work_keys_str_mv | AT evgenymmorozov isitpossibletodeterminethewholecrackpathatonce AT arslankkurbanmagomedov isitpossibletodeterminethewholecrackpathatonce |