Abstract
The paper presents constitutive hereditary-type equations describing nonlinear behavior of a prestressed medium (salt rock mass) exposed to loading (tunnel construction). It is proposed to solve the related boundary value problem by using Newton’s quadrature method. The offered approach is illustrated with analyzing stress-strain state of salt rocks in the vicinity of a circular section tunnel.
Similar content being viewed by others
References
Zh. S. Erzhanov, Rock Creep Theory and Applications [in Russian], Nauka, Alma-Ata (1964).
N. A. Samodelkina, “On method to take into account the rheological properties of rocks in finite-element analysis of geomechanical processes,” Journal of Mining Science, No. 6 (2003).
S. A. Konstantinova and S. A. Chernopazov, “Development of hereditary model for deformation and failure of salt rocks,” Journal of Mining Science, No. 1 (2004).
S. A. Konstantinova, V. M. Pestrenin, and I. V. Pestrenina, “Kinds of approximating creep curves obtained on rock samples,” Izv. Vuzov, Gorny Zh., Issue 4 (2007).
A. A. Ils’yushin and B. E. Pobedrya, Basics of the Mathematical Theory of Thermoviscoelasticity [in Russian], Nauka, Moscow (1970).
Yu. N. Rabotnov, The Deformable Solid Mechanics [in Russian], Nauka, Moscow (1979).
Author information
Authors and Affiliations
Additional information
Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 1, pp. 25–32, January–February, 2010.
Rights and permissions
About this article
Cite this article
Pestrenin, V.M., Pestrenina, I.V. Nonlinear hereditary model of the prestressed salt rocks. J Min Sci 46, 21–27 (2010). https://doi.org/10.1007/s10913-010-0003-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10913-010-0003-z