PSI - Issue 33

ScienceDirect Available online at www.sciencedirect.com Sci nceD rect Structural Integrity Procedia 00 (2019) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000 Available online at www.sciencedirect.com

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 33 (2021) 357–364

IGF26 - 26th International Conference on Fracture and Structural Integrity Scaling laws in fragmentation dynamics of rock materials IGF26 - 26th International Conference on Fracture and Structural Integrity Scaling laws in fragmentation dynamics of rock materials

Irina A. Bannikova a, *, Sergey V. Uvarov a a ICMM UrB RAS, 614013, A с ademika Koroleva 1 st, Perm, Russia Irina A. Bannikova a, *, Sergey V. Uvarov a a ICMM UrB RAS, 614013, A с ademika Koroleva 1 st, Perm, Russia

© 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the IGF ExCo Abstract Dynamic and quasi-static tests for uniaxial compression of cylinders made of quartzite were carried out. The failure of the specimens was accompanied by fractoluminescence. The fractoluminescence was recorded by a photomultiplier tube (PMT) and a high-speed camera. The high-speed camera allowed us to visualize fracture process accompanied with fractoluminescence and PMT provided high temporal resolution for statistical analysis of fracture. A statistical analysis of the mass distribution of quartzite fragments and a statistical analysis of the time intervals between pulses on the signals from the PMT are carried out. The cumulative fragments mass distributions for all samples had two slopes, which were described by power functions. The cumulative time distribution between pulses was also described by a power function, which corresponds to brittle fracture of the material. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo Keywords: quartzite; quasi-static loading; dynamic loading; fragmentation; power law; fractoluminescence. 1. Introduction The fragmentation process shows signs of a critical phenomenon and corresponding scaling laws. It involves analyzing the behavior of the material as a function of the loading energy near some "critical point" by Astrom and et al. (2004), Katsuragi and et al. (2003), which corresponds to the transition from a damaged material to a fragmented state of the material. “Critical behavior” durin g fragmentation is investigated by analyzing the statistical distributions of fragments depending on the properties of the material (plasticity, brittleness), its initial structure (porosity), and load intensity. For example, large-scale analysis of spatio-temporal data of sandstone fragmentation samples in order to determine the spatial invariants of the fragmentation of low-modulus rock is of interest for Abstract Dynamic and quasi-static tests for uniaxial compression of cylinders made of quartzite were carried out. The failure of the speci ens was accompanied by ractolum nescence. The fractolumine cence was recorded by a photomultiplier tube (PMT) and a high-speed camera. The high-speed ca era allowed us to visualize fractur process accompanied with fractoluminescence PMT provi ed high temporal resolution for statistical analy is of fracture. A statistical an lysis of the mass distribution of quartzite fragments and a st tistical analysis of the time i tervals between pulse on he sig s from t PMT are carried out. The cumul tive fragments ma s distributions or all sampl s had two slopes, which were described by power fun tions. The cumulative tim distribution between pulses was also described by a p wer function, which corresponds to brittle fra ture of t materi l. © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review Statement: Peer-review under responsibility of th scientifi committee of the IGF ExCo Keywords: quartzite; quasi-static loading; dynamic loading; fragmentation; power law; fractoluminescence. 1. Introduction The fragmentation process shows signs of a critical phenomenon and corresponding scaling laws. It involves analyzing the behavior of the material as a function of the loading energy nea some "critical point" by Astrom and et al. (2004), Katsuragi and et al. (2003), wh ch corr sp nds to the transiti n from a damaged material to a fragmented state of the m terial. “Critical behavior” du in g fragmentation is investigated by analyzing the st tis ical distributions of fragm nts depending on th properties of the aterial (plasticity, brittleness), its ini ial struc ure (po osity), and load inten ity. For example, large-scal analysis of sp tio-temporal data of sandstone fragmenta ion samples in or er to determine the spatial invariants of the fragmentation of low-modulu rock is of interest f r

* Corresponding author. Tel.:+7-342-2378312; +7-963-883-5524. E-mail address: malgacheva@icmm.ru. * Corresponding author. Tel.:+7-342-2378312; +7-963-883-5524. E-mail address: malgacheva@icmm.ru.

2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo 2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review Statement: Peer-review under responsibility of the scientific committee of the IGF ExCo

2452-3216 © 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the IGF ExCo 10.1016/j.prostr.2021.10.043