PSI - Issue 40

A.M. Ignatova et al. / Procedia Structural Integrity 40 (2022) 185–193 Ignatova A.M. at al. / Structural Integrity Procedia 00 (2022) 000 – 000

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4. Conclusions In this regard, the velocities of individual rupture fragments upon impact on a refractory non-metallic silicate material are experimentally determined using the example of potassium fluorophlogopite. It is established that the nature of the change in the fragment velocity relative to time corresponds to a hyperbolic function and depends on the kinetic energy of the fragments. A coefficient for calculating the change in the velocity of rupture fragments of potassium fluorophlogopite relative to time is proposed. Acknowledgements The research was supported by the Russian Science Foundation (project n. 21-79-30041). References Lamon, J., 2016. Brittle Fracture and Damage of Brittle Materials and Composites: Statistical-Probabilistic Approaches. ISTE Press – Elsevier, pp. 282. Barenblatt, G.I., 1964. Concerning Certain General Representations Of The Mathematical Theory Of Brittle Destruction. Prikl. Mekh. Matem. 4, 630-643. Stefanov, Yu.P., 2005. Certain Features Of Numerical Modeling Of The Behavior Of Elastically Brittle Plastic Materials. Physical mezomechanics 8(3), 129-142. Goncharov, P.S., Zhitnyi, M.V., Sinelnikov, E.G., Babin, A.M., 2017. Technique For Determining The Parameters Of An After-Penetration Fragment Cloud Formed As A Result Of A High-Speed Collision. News of TulGU. Technical sciences 11(3), 61-67. Kiselev, A.B., Yarunichev, V.A., 2009. On The Study Of Space Debris Particles Fragmentation At A High-Speed Collision. Moscow University Bulletin. Series 1. Math., mech 2, 26-35. Davydova, M.M., Uvarov, S.V., Naimark, O.B., 2013. Scaling invariance in dynamic fragmentation of quarts. Physical mezomechanics 4, 129 136. Ignatova, A.M., Yudin, M.V., Sokovikov, M.A., Chudinov, V.V., Ignatov, M.N., 2021. Microfragmentation Of Cast Mica-Crystalline Material During Dynamic Compression // News of Higher Educational Institutions. Series: Chemistry and chemical technology 64 (2), 56-61.

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