Abstract
In the autosoliton view, the complete mathematical model of the seismic process taken as the deformation and fracture process of a loaded geomedium combines dynamic equations of solid mechanics and specific constitutive equations for geomedium rheology. These equations describe both the conventional stress-strain evolution due to the stress wave propagation with sound velocities, which are governed by special features of constitutive equations, and slow dynamics of the loaded strong medium. Numerical investigation is given to the generation of deformation autosolitons, front structure, and propagation of intra- and interfault deformation disturbances. Slow deformation disturbances in real geomedium elements are numerically modeled.
Similar content being viewed by others
Change history
31 August 2021
Corrected issue title
REFERENCES
Kerner, B.S. and Osipov, V.V., Autosolitons, Phys. Usp., 1989, vol. 32, no. 2, pp. 101–138.
Vasil’ev, V.A., Romanovskii, Yu.M., and Yakhno, V.G., Autosoliton Processes in Distributed Kinetic Systems, Phys. Usp. 1979, vol. 22, no. 8, pp. 615–639.
Masterov, A.V., Tolkov, V.N., and Yakhno, V.G., Nonlinear Waves: Dynamics and Evolution, New York: Springer-Verlag, 1988.
Schwab, R. and Ruff, V., On the Nature of the Yield Point Phenomenon, Acta Mater., 2013, vol. 61, no. 5, pp. 1798–1808.
Hallai, J. and Kyriakides, S., On the Effect of Lüders Bands on the Bending of Steel Tubes. Part II: Analysis, Int. J. Solids Struct., 2011, vol. 48, no. 24, pp. 3285–3298.
Romanova, V., Balokhonov, R., and Schmauder, S., Three-Dimensional Analysis of Mesoscale Deformation Phenomena in Welded Low-Carbon Steel, Mater. Sci. Eng. A, 2011, vol. 528, no. 15, pp. 5271–5277.
Johnson, D., Edwards, M., and Chard-Tuckey, P., Microstructural Effects on the Magnitude of Lüders Strains in a Low Alloy Steel, Mater. Sci. Eng. A, 2015, vol. 625, pp. 36–45.
Wilkins, M., Computer Simulation of Dynamic Phenomena, New York: Springer-Verlag, 1999.
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. https://doi.org/10.1134/S1029959917020114
Balokhonov, R., Zinoviev, A., Romanova, V., and Zinovieva, O., The Computational Micromechanics of Materials with Porous Ceramic Coatings, Meccanica, 2016, vol. 51, no. 2, pp. 415–428.
Smolin, I., Makarov, P., Eremin, M., and Matyko, K., Numerical simulation of Mesomechanical Behavior of Porous Brittle Materials, Proc. Struct. Integr., 2016, vol. 2, pp. 3353–3360.
Eremin, M., Numerical Simulation of Failure of Sandstone Specimens Utilizing the Finite-Difference Continuous Damage Mechanics Approach, Proc. Struct. Integr., 2019, vol. 18, pp. 135–141.
Danilov, V., Gorbatenko, V., Zuev, L., and Orlova, D., Kinetics and Morphology of Lüders Deformation in Specimens with Homogeneous Structure and with a Weld Joint, Mater. Sci. Eng. A, 2018, vol. 714, pp. 160–166.
Barannikova, S., Ponomareva, A.V., Zuev, L.B., Vekilov, Yu.Kh., and Abrikosov, I.A., Significant Correlation between Macroscopic and Microscopic Parameters for the Description of Localized Plastic Flow Auto-Waves in Deforming Alloys, Solid State Commun., 2012, vol. 152, no. 9, pp. 784–787.
Makarov, P.V., Khon, Yu.A., Peryshkin, A.Yu., Slow Deformation Fronts: Model and Features of Distribution, Geodyn. Tectonophys., 2018, vol. 9, no. 3, pp. 755–769. https://doi.org/10.5800/GT-2018-9-3-0370
Nikolaevskii, V.N., Governing Equation of Plastic Deformation of a Granular Medium, PMM, 1971, vol. 35, no. 6, pp. 1070–1082.
Drucker, D. and Prager, V., Soil Mechanics and Plastic Analysis or Limit Design, Q. Appl. Math., 1952, vol. 10, no. 2, pp. 157–165.
Stefanov, Yu.P. and Bakeev, R.A., Formation of Flower Structures in a Geological Layer at a Strike Slip Displacement in the Basement, Izv. Phys. Solid Earth., 2015, vol. 51, no. 4, pp. 535–547.
Stefanov, Yu.P. and Tataurova, A.A., Effect of Friction and Strength Properties of the Medium on Shear Band Formation in Thrust Structures, Phys. Mesomech., 2019, vol. 22, no. 6, pp. 463–472. https://doi.org/10.1134/S1029959919060031
Balokhonov, R.R., Romanova, V.A., Martynov, S.A., and Schwab, E.A., Simulation of Deformation and Fracture of Coated Material with Account for Propagation of a Lüders–Chernov Band in The Steel Substrate, Phys. Mesomech., 2013, vol. 16, no. 2, pp. 133–140. https://doi.org/10.1134/S1029959913020045
Funding
The work is performed at the support of the Russian Science Foundation (Project No. 19-17-00122).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Makarov, P.V., Smolin, I.Y., Khon, Y.A. et al. Autosoliton View of the Seismic Process. Part 2. Possibility of Generation and Propagation of Slow Deformation Autosoliton Disturbances in Geomedia. Phys Mesomech 24, 375–390 (2021). https://doi.org/10.1134/S1029959921040044
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1029959921040044