Conservation laws in dynamic fracture tasks

Authors

  • V. O. Husak Taras Shevchenko National University of Kyiv

DOI:

https://doi.org/10.17721/1812-5409.2019/3.5

Abstract

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 - 43

Language of the article: Ukrainian

References

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How to Cite

Husak, V. O. (2020). Conservation laws in dynamic fracture tasks. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (3), 38–43. https://doi.org/10.17721/1812-5409.2019/3.5

Issue

No. 3 (2019)

Section

Differential equations, mathematical physics and mechanics

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