Conservation laws in dynamic fracture tasks
Тип публікації :
Стаття
Дата випуску :
2019
Автор(и) :
Husak, V. O.
Мова основного тексту :
Англійська
eKNUTSHIR URL :
Випуск :
3
ISSN :
1812-5409
Початкова сторінка :
38
Кінцева сторінка :
43
Цитування :
[APA 7] Husak, V. O. (2019). Conservation laws in dynamic fracture tasks. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (3), 38–43. https://doi.org/10.17721/1812-5409.2019/3.5
[ДСТУ] Husak V. O. Conservation laws in dynamic fracture tasks. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2019. no. 3. P. 38—43. DOI: 10.17721/1812-5409.2019/3.5 (date of access: 18.07.2026).
Two fracture model under elastic wave action are considered: with energy dissipation while fracturing and without energy dissipation. The conservation of integrals of the complete mechanical energy and the quantities of motion of the fragments of the rod is investigated. For the model of fracture without energy dissipation, the complete mechanical energy is stored. For a fracture model involving energy dissipation, the complete mechanical energy decreases, although the motion of the inertia center remains. Therefore, dynamic fracture occurs due to the dissipation of the energy of the wave process in the rod. The application of the models is illustrated by an example of a study of quasistatic fracture by the propagation of a brittle crack. The dependence of the fracture energy on the crack size as well as the complete fracture energy were obtained.Key words: dynamic fracture, wave propagation, energy of fracture.Pages of the article in the issue: 38 - 43Language of the article: Ukrainian
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