Open AccessConservation laws in dynamic fracture tasks
Author(s) -
V. Hušák
Publication year - 2019
Publication title -
vìsnik. serìâ fìziko-matematičnì nauki/vìsnik kiì̈vsʹkogo nacìonalʹnogo unìversitetu ìmenì tarasa ševčenka. serìâ fìziko-matematičnì nauki
Language(s) - English
Resource type - Journals
eISSN - 2218-2055
pISSN - 1812-5409
DOI - 10.17721/1812-5409.2019/3.5
Subject(s) - dissipation , quasistatic process , fracture mechanics , fracture (geology) , inertia , mechanics , brittleness , energy (signal processing) , elastic energy , conservation of energy , materials science , physics , classical mechanics , composite material , thermodynamics , quantum mechanics
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.