The specific non-linear elastic hysteresis of rocks under cyclic uniaxial tension

Authors: Vysotin N.G.

The paper discusses the estimation of the parameters of elastic hysteresis of rock samples. The parameters of elastic hysteresis are determined in a certain range of elastoplastic sublimit deformations and for certain conditions. The paper substantiates the choice of rock and sample preparation, describing a static mechanical testing technique that governs the behavior of rock samples under given stresses and the response of the elastic properties to loading/unloading. The paper analyzes the experimental results of deformation of rock samples under conditions of elastic hysteresis and explains the arising nonlinear effects using the principles of a micromechanical model. The micromechanical model and other approaches substantiating the nonlinear nature of rock sample deformation are considered. The paper discusses the approaches and results that explain residual deformations at the initial stage of cyclic loading and stabilization of the structure of geomaterial at subsequent stages, assessing its nonlinear elastic properties. Based on the results, models for various rocks are proposed to determine the nonlinear parameters of elastic hysteresis: static elastic moduli and hysteresis parameter. Based on the micromechanical model, the generalized density of cracks in rock samples is determined, thereby making it possible to estimate the degree of nonlinearity of elastoplastic deformation.

Keywords: stress-strain relations; uniaxial tension; microcracks; elastic hysteresis; rocks; nonlinearity; generalized crack density.
For citation:

Vysotin N. G. The specific non-linear elastic hysteresis of rocks under cyclic uniaxial tension. MIAB. Mining Inf. Anal. Bull. 2021;(4-1):148—157. [In Russ]. DOI: 10.25018/0236_1493_2021_41_0_148.

Issue number: 4
Year: 2021
Page number: 148-157
ISBN: 0236-1493
UDK: 622.023.25 + 530.152.1
DOI: 10.25018/0236_1493_2021_41_0_148
Article receipt date: 01.02.2021
Date of review receipt: 25.02.2021
Date of the editorial board′s decision on the article′s publishing: 10.03.2021
About authors:

Vysotin N. G., Senior Lecturer,, National Research Technological University «MISiS» , Moscow, Russia.

For contacts:

1. Ostrovsky L. A., Johnson P. A. Dynamic nonlinear elasticity in geomaterials. La Rivista del Nuovo Cimento della Societa Italiana di Fisica, 2001, Vol. 24. no. 7, pp. 1—46

2. Nazarov V. E., Radostin A. V., Ostrovsky L. A., Soustova I. A. Wave processes in media with hysteretic nonlinearity. Part I. Acoustical Physics, 2003, no. 49 (4), pp. 344— 353. DOI: 10.1134/1.1591300.

3. Sheinin V. I., Blokhin D. I., Maksimovich I. B.,Sarana E. P. Experimental research into thermomechanical effects at linear and nonlinear deformation stages in rock salt specimens under cyclic loading. Journal of Mining Science, 2016, Vol. 52, no. 6, pp. 1039—1046.

4. Song H., Zhang H., Fu D., Zhang Q. Experimental analysis and characterization of damage evolution in rock under cyclic loading. International Journal of Rock Mechanics & Mining Sciences, 2016, no. 88, pp. 157—164. DOI:10.1016/j.ijrmms.2016.07.015.

5. Vinnikov V. A., Zakharov V. N., Malinnikova O. N., Cherepetskaya E. B. Analysis of structure and elastic properties of geomaterials using contact broadband ultrasonic structural spectroscopy. Mining journal. 2017. no. 4, pp. 29—33. DOI: 10.17580/gzh.2017.04.05 [In Russ].

6. Wang Y., Zhao L., Han D.-h., Qin X., Ren J., Wei Q. Micro-mechanical analisys of the effects of stress cycles on the dynamic and static mechanical properties of sandstone. International Journal of Rock Mechanics and Mining Sciences, 2020, no. 134, pp. 104431. DOI: 10.1016/j.ijrmms.2020.104431.

7. Martynyuk A. R. The modelling of nonlinearity of rocks. MIAB. Mining Inf. Anal. Bull. 2012. no. 6, pp. 384—388 [In Russ].

8. Bruno G., Kachanov M. Porous microcracked ceramics under compression: Micromechanical model of non-linear behavior. Journal of the European Ceramic Society, 2013, no. 33, pp. 2073—2085. DOI: 10.1016/j.jeurceramsoc.2013.03.012

9. Bruno G., Kachanov M., Sevostianov I., Shyam A. Micromechanical modeling of nonlinear stress-strain behavior of polycrystalline microcracked materials under tension. Acta Materialia, 2019, no. 164, pp. 50—59. DOI: 10.1016/j.actamat.2018.10.024

10. Ji P. — Q., Zhang X. — P., Zhang Q. A new method to model the non-linear crack closure behavior of rocks under uniaxial compression. International Journal of Rock Mechanics and Mining Sciences, 2018, no. 112, pp. 171—183. DOI: 10.1016/j. ijrmms.2018.10.015 [In Russ].

11. Stefanov Ju. P. no.nlinear effects of rock behavior and interpretation of experimental data. The 4-th tectonophysical conference at IPE RAS. Tectonophysics and topical issues of earth sciences. Collection of Scientific Papers. Moscow, 2016, pp. 358—371 [In Russ].

12. Bogusz A., Bukowska M. Strees-strain characteristics as a source of information on the disraction of rocks under influence of load. Journal of Sustainable Mining, 2015 , no. 14, pp. 46—54. DOI: 10.1016/j.jsm.2015.08.007.

13. Liu X. L., Han M. S., Li X. B., Cui J. H., Liu Z. Elastic wave attenuation characteristics and relevance for rock microstructures. Journal of Mining Sciences, 2020, Vol.56, no. 2, pp. 65—74. DOI: 10.1134/S1062739120026674.

14. Vinnikov V. A., Vysotin N. G. Method of testing on the static module for the elasticity of mineral rocks with using the results of laser-ultrasonic spectroscopy. MIAB. Mining Inf. Anal. Bull. 2018. no. S1, pp.90—101. DOI: 10.25018/0236-1493-2018-1-1-90-101 [In Russ].

15. DIN 14580—2005. Prüfverfahren für Naturstein — Bestimmung des statischen Elastizitätsmoduls. Berlin: Deutsches Institut für no.rmung e.V. 2005.

16. Suknjov S. V., Fjodorov S. P. Methods for determining the elastic properties of rocks. The Science and the Education. 2014. no. 1(73), pp. 18—24.

17. Grebjonkin S. S., Gavrish N. N. Rock mechanics. Volume 1, Doneсk, DonNTU, 2004, 169 p.

Подписка на рассылку

Раз в месяц Вы будете получать информацию о новом номере журнала, новых книгах издательства, а также о конференциях, форумах и других профессиональных мероприятиях.