Abstract
It is well known that the final stage of macroscopic fracture develops as a catastrophe in a superfast blow-up mode. However, the specific features of this stage are well studied only on large scales of earthquakes. Of particular interest for fracture prediction are both the stage of superfast catastrophic fracture and the mechanical behavior of the medium in the state of self-organized criticality prior to transition of fracture to the blow-up mode in order to reveal precursors of fracture transition to the catastrophic stage. This paper studies experimentally and theoretically the mechanical behavior of the medium prior to the catastrophic stage and transition to the blow-up mode. Rock samples (marble and artificial marble) were tested in three-point bending and uniaxial compression tests. The lateral surface velocities of loaded samples were recorded using a laser Doppler vibrometer. The recording frequency in measurements was 48 kHz, and the determination accuracy of the velocity amplitude was 0.1 μm/s. The estimated duration of the blow-up fracture stage is 10–20 ms. The mechanical behavior of samples in the experimental conditions, including the catastrophic fracture stage, is simulated numerically. The damage accumulation model parameters are determined from a comparison with the experimental data. Certain features of the mechanical response prior to catastrophic fracture are revealed which can be interpreted as fracture precursors.
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Makarov, P.V., Mathematical Theory of Evolution of Loaded Solids and Media, Phys. Mesomech., 2008, vol. 11, no. 5–6, pp. 213–227.
Malinetskii, G.G. and Potapov, A.B., Modern Problems of Nonlinear Dynamics, Moscow: URSS, 2002.
Kocharyan, G.G., Kishkina, S.B., and Ostapchuk, A.A., Seismogenic Width of a Fault Zone, Dokl. Earth Sci., 2011, vol. 437, no. 1, pp. 412–415.
Makarov, P.V. and Eremin, M.O., Fracture Model of Brittle and Quasibrittle Materials and Geomedia, Phys. Mesomech., 2013, vol. 16, no. 3, pp. 207–226.
Makarov, P.V., Bakeev, R.A., and Shcherbakov, I.V., Simulation of Elastic–Plastic Flow Curves of Aluminum Alloys Using Models of Dislocation Kinetics of Shears and Damage Accumulation, AIP Conf. Proc., 2015, vol. 1683, pp. 020137–1–020137–4.
Kapitza, S.P., On the Theory of Global Population Growth, Phys.–Usp., 2010, vol. 53, no. 12, pp. 1287–1296.
Kocharyan, G.G., Markov, V.K., Ostapchuk, A.A., and Pavlov, D.V., Mesomechanics of Shear Resistance along a Filled Crack, Phys. Mesomech., 2013, vol. 17, no. 2, pp. 123–133.
Kocharyan, G.G. and Novikov, V.A., Experimental Study of Different Modes of Block Sliding along Interface. Part 1. Laboratory Experiments, Phys. Mesomech., 2016, vol. 19, no. 2, pp. 189–199.
Ostapchuk, A.A., Interblock Slip Modes: Formation and Transformation Conditions, Extended Abstract of the Cand. Phys.–Math. Sci. Dissertation, Moscow, 2016.
Makarov, P.V. and Eremin, M.O., Modeling of Fracture of Ceramic Composites under Uniaxial Compression, Vestnik TGU. Mat. Mekh., 2013, no. 1(21), pp. 61–74.
Kulkov, A.S., Makarov, P.V., Eremin, M.O., Skripnyak, V.A., and Kozulin, A.A., Defining Time Values of Prefracture of Brittle Samples Versus Actual Loading in Three Point Bend Tests, AIP Conf. Proc., 2015, vol. 1683, pp. 020110–1–020110–4.
Kuzmin, Yu.O., Recent Superintensive Deformations of the Ground Surface in Platform Fault Zones, Geol. Izuch Ispol. Nedr. Nauch. Tekhn Inform. Sbor., 1996, no. 4, pp. 43–53.
Kuzmin, Yu.O., Tectonophysics and Recent Geodynamics, Izv. Phys. Solid Earth, 2009, vol. 45, no. 11, pp. 973–986.
Kuzmin, Yu.O., Recent Geodynamics of Faults and Paradoxes of the Rates of Deformation, Izv. Phys. Solid Earth, 2013, vol. 49, no. 5, pp. 626–642.
Nikolayevsky, V.N., Mathematical Modeling of Isolated Deformation and Seismic Waves, Dokl. RAN, 1995, vol. 341, no. 3, pp. 403–405.
Kuzmin, Yu.O., Deformation Autowaves in Fault Zones, Izv. Phys. Sol–id Earth, 2012, vol. 48, no. 1, pp. 1–16.
Bykov, V.G., Nonlinear Waves and Solitons in Models of Fault–Block Geological Media, Russ. Geol. Geophys., 2015, vol. 56, no. 5, pp. 793–803.
Bykov, V.G., Deformation Waves of the Earth: Concept, Observations, and Models, Geol. Geofiz., 2005, vol. 46, no. 11, pp. 1176–1190.
Makarov, P.V. and Peryshkin, A.Yu., Slow Motions as Inelastic Strain Autowaves in Ductile and Brittle Media, Phys. Mesomech., 2017, vol. 20, no. 2, pp. 209–221.
Makarov, P.V., Evolutionary Nature of Structure Formation in Lithospheric Materials. Universal Principle for Fractality of Solids, Russ. Geol. Geophys., 2007, vol. 48, no. 7, pp. 558–574.
Makarov, P.V. and Eremin, M.O., Jerky Flow Model as a Basis for Research in Deformation Instabilities, Phys. Mesomech., 2014, vol. 17, no. 1, pp. 62–80.
Mukhamedov, V.A., Fractal Properties of High–Frequency Seismic Noise for Earthquake Prediction, Preprint of the Turkmen State University, Ashgabat, 2001.
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Original Russian Text © I.Yu. Smolin, P.V. Makarov, A.S. Kulkov, M.O. Eremin, R.A. Bakeev, 2016, published in Fizicheskaya Mezomekhanika, 2016, Vol. 19, No. 6, pp. 77–85.
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Smolin, I.Y., Makarov, P.V., Kulkov, A.S. et al. Blow-up Modes in Fracture of Rock Samples and Earth’s Crust Elements. Phys Mesomech 21, 297–304 (2018). https://doi.org/10.1134/S1029959918040033
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DOI: https://doi.org/10.1134/S1029959918040033