PSI - Issue 32

Irina A. Bannikova et al. / Procedia Structural Integrity 32 (2021) 10–16 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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4. Conclusion It has been shown experimentally that the destruction of cylindrical quartz samples took place in two stages with different fragmentation mechanisms and differing in the fractoluminescence intensity: 1) the formation and propagation of vertical cracks throughout the volume of the material, 2) the subsequent complete destruction of the specimen due to the formation of many daughter cracks. It was found that the formed fragments were in the form of plates (I), volumetric elongated objects (II) and volumetric small figures resembling octahedrons (III). Fragments of the second and third types were formed during the final destruction of the sample. In this case, the centers of destruction were daughter microcracks on the surface of the fragments of the first type Naimark and et. al. (2017). There is a good agreement between the results of the statistical analysis of the data on the registration of fractoluminescence and the resulting fragments. For all samples, the cumulative fragment mass distributions had a slight inflection and were well described by power functions with an approximation reliability R 2 ~ 0.95-0.97. And the statistical size distributions of the time variable (the value of the interval between fractoluminescence pulses) were described by a power function with R 2 ~ 0.99. Acknowledgements The research was supported by a grant Russian Science Foundation (project No. 21-79-30041). References Bannikova, I., Naimark, O., Uvarov, S., 2016. Transition from multi-center fracture to fragmentation statistics under intensive loading. Procedia Structural Integrity 2, 1944-1950. https://core.ac.uk/download/pdf/82536112.pdf. Banni ova I. 2017. “Photography Method” as a Tool of Studying Fragmentation Industrial laboratory. Diagnostics of material s 83(5), 42-44. (In Russ.), https://www.zldm.ru/jour/article/view/476/477. Davydova, M., Uvarov, S., 2013. Fractal statistics of brittle fragmentation. Fracture and Structural Integrity 24, 60-68. https://core.ac.uk/download/pdf/228802226.pdf. Davydova, M, Uvarov, S., Naimark, O., 2014. Scale invariance during dynamic fragmentation of quartz. Physical Mesomechanics 17, 81-88. https://doi.org/10.1134/S1029959914010093. Davydova, M., Uvarov, S., Naimark, O., 2016. Space-time scale invariance dynamically fragmented quasi-brittle materials. Physical Mesomechanics, 19(1) (2016) 86 – 92. https://link.springer.com/content/pdf/10.1134/S1029959916010094.pdf. Grady, D., 2011. Impact breach and fragmentation of glass plate. International Journal of Impact Engineering 38, 446 – 450. https://doi.org/10.1016/j.ijimpeng.2010.10.015. Greiner, W. Stöc er H., 1984. Hot nuclear matter. Scientific American 252, 76 – 87. https://www.jstor.org/stable/24967549. Kats, M., Simanovich, I., 1974. Quartz of crystalline rocks (Mineralogical features and density properties). Proceedings 259, Publishing house "Science", Moscow (in Russ.). http://www.ginras.ru/library/pdf/259_1974_katz_simanovich_quartz.pdf. Katsuragi, H., Sugino D., Honjo H., 2003. Scaling if impact fragmentation near the critical point. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 68(42), 046105(1 – 6). https://doi.org/10.1103/PhysRevE.68.046105. Koshelev, E., Kuznetsov, V., Sofronov, S., Chernikov A., 1971. Statistics of fragments formed during the destruction of solids by explosion. PMTF 2,87-100. (In Russ.). https://sibran.ru/upload/iblock/7b9/7b99186b9b61a1fb166a97a19a127db0.pdf. Meibom, A., Balslev I., 1996. Composite power laws in shock fragmentation. Phys. Rev. Lett. 76(14), 2492 – 2494. https://doi.org/10.1103/PhysRevLett.76.2492. Mott, N., 1943. A theory of the fragmentation of shells and Bombs. Ministry of Supply. Past 3. – A.C.4035, 1 – 51. https://doi.org/10.1007/978-3 540-27145-1_11. Naimark, O., Uvarov, S., Davydova, M., Bannikova, I., 2017. Multiscale statistical laws of dynamic fragmentation. Physical Mesomechanics 20(1), 90-101. https://link.springer.com/article/10.1134/S1029959917010088.