Abstract
It is established experimentally that the incremental strain sign-change effect is observed in preliminarily damaged rock samples in the pre-failure zone under compression. The theory of continuous phase transition is employed to study this effect. The governing equation and its solution are derived. The numerical results obtained prove that this approach is good for adequate description of the sign-change effect for strain increments in rock samples under compression.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. I. Shemyakin, G. L. Fisenko, M. V. Kurlenya, V. N. Oparin, et al., “Zonal disintegration of rocks around underground workings. Part 1: Data of in situ observations,” Journal of Mining Science, 22, No. 3 (1986).
E. I. Shemyakin, G. L. Fisenko, M. V. Kurlenya, V. N. Oparin, et al., “Zonal disintegration of rocks around underground workings. Part II: Rock fracture simulated in equivalent materials,” Journal of Mining Science, 22, No. 4 (1986).
E. I. Shemyakin, G. L. Fisenko, M. V. Kurlenya, V. N. Oparin, et al., “Zonal disintegration of rocks around underground mines. Part III: Theoretical concepts,” Journal of Mining Science, 23, No. 1 (1987).
E. I. Shemyakin, G. L. Fisenko, M. V. Kurlenya, V. N. Oparin, et al., “Zonal disintegration of rocks around underground workings. Part IV: Practical applications,” Journal of Mining Science, 25, No. 4 (1989).
M. A. Guzev and V. V. Makarov, Deformation and Fracture of the Highly Stressed Rocks around Openings [in Russian], Dalnauka, Vladivostok (2007).
M. A. Guzev, V. V. Makarov, and F. F. Ushakov, “Modeling elastic behavior of compressed rock samples in the pre-failure zone,” Journal of Mining Science, 41, No. 6 (2005).
N. S. Adigamov and Ya. I. Rudaev, “Equation of state allowing for loss strength of material,” Journal of Mining Science, 35, No. 4 (1999).
Qi Chengzhi, Qian Qihu, and Wang Mingyang, “Evolution of the deformation and fracturing in rock masses near deep-level tunnels,” Journal of Mining Science, 45, No. 2 (2009).
L. D. Landau and E. M. Lifshits, Statistical Physics. Part I, Beijing World Publishing Corporation, Beijing (1999).
N. H. Asmar,Partial Differential Equations with Fourier Series and Boundary Value Problems, Second edition, Pearson Education (2005).
V. N. Nikolaevsky, Mechanics of Porous and Fractured Media, World Scientific, Singapore (1990).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 4, pp. 21–28, July–August, 2010.
Rights and permissions
About this article
Cite this article
Mingyang, W., Chengzhi, Q., Qihu, Q. et al. Modeling of the Incremental Strain Sign-Change Effect in Rocks under Compression. J Min Sci 46, 359–366 (2010). https://doi.org/10.1007/s10913-010-0045-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10913-010-0045-2