ABOUT ONE CRITERIA OF STRENGTH OF ROCKS
https://doi.org/10.22405/2226-8383-2017-18-3-72-87
Abstract
Plastic deformation of rocks and generation of residual deformation field are related to shear and tensile cracks formation. For conditions of three-dimensional stress state a strength (yield) criterion is proposed that takes into consideration combined effect of two kinds of failure (shear and tensile failure) and is based on associated flow rule. The developed criteria relations were verified during description of results of rocks mechanical tests. Acceptable concordance between calculated and experimental values of breaking stresses and strains was obtained. Developed algorithm for critical stresses, elastic and plastic deformations determining is easy enough for numerical realization in three-dimensional problems of mathematical modelling of deformation and failure processes of large-scale mine technical objects.
About the Authors
A. A. Baryakh
PFRC UB RAS
Russian Federation
Russian Federation
doctor of technical sciences, professor, corresponding member of Russian Academy of Sciences, Director
N. A. Samodelkina
Ural Branch RAS
Russian Federation
Russian Federation
candidate of technical sciences, leading researcher, Mining Institute
References
1. Panasyuk V.V., Andreykiv A.E., Parton V.Z., 1988, “Osnovyi mehaniki razrusheniya , Tom 1”, Mehanika razrusheniya i prochnost materialov, [Fracture mechanics and rock strength] , Naukova Dumka, Kiev, 488 p.
2. Kartashov Y.M., Matveev B.V., Mikheev G.V., Fadeev A. B. , 1979, Prochnost‘ i deformiruemost‘ gorny‘kh porod [Strength and deformability of rocks], Nedra, Moscow, 269 p.
3. Levin V. A. , J 2015, Modeli imetodyi. Obrazovanie i razvitie defektov [Models and methods. Formation and development of faults], PHYSMATHLIT, Moscow, 456 p
4. Olovyanny A.G., J 2012, Mehanika gornyih pord. Modelirovanie razrusheniy [Rock mechanics. Failure modeling], Saint Petersburg University, Saint Petersburg, 278 p.
5. Baryakh A. A., Samodelkina N. A., 2016, “Mathematikal odelining of underworked rock strata failure process”, Solid State Phenomena, vol. 243, pp. 17-22
6. Baryakh A. A., Samodelkina N. A., 2012, “Water-tight stratum rupture under large- scale mining. Part II”, (Journal of mining science), vol. 48, no. 6, pp.954-961
7. Botkin A. I., 1940, “On strength of bulk solids and brittle materials”, Izvestiya VNII gidrotehniki, vol. 26, pp. 205-236
8. Mirolyubov I.N., 1953, “On the question of generalization of octahedral shear stress theory on brittle materials”, Tr. Leningr. tehnologich. in-ta,. issue 2, pp. 42-52
9. Kuznetsov G. N., 1947, Mehanicheskie svoystva gornyih porod [Mechanical properties of rock], Ugletechizdat, Moscow, 247 p.
10. Kats. Sh. N. ,1969, “On plastic deformations under compound stress”, Teoriya plastichnosti [Theory of plasticity], Nauka, Moscow, 400 p.
11. Baryakh A. A., Konstantinova S. A., Asanov V.A., 1996, Deformirovanie solyanyih porod [ Deformation of salt rocks], UrO RAN, Ekaterinburg, 203 p.
12. Zienkiewich O. C., 1971, The finite element method in engineering science. Mcgraw-Hill-London, 521 p.
13. Fadeev A. B. , 1987, Metod konechnyih elementov v geomehanike [The finite element method in geo mechanics], Nedra, Moscow, 221 p.
14. Samodelkina N. A. , 2016, “Forecast of earth surface deformations for different flooding scenarios of mine SKRU-2”, Sb. nauch. Tr. Strategiya i protsessyi osvoeniya georessursov, Mine Institute of Ural Branch of Russian Academy of Science, issue 14, Perm, pp. 84-86
15. Baryakh A. A., Samodelkina N. A., 2017, “Geomechanical estimation of deformation processes intensity over flooded potash mine”, Fiziko- Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh (Journal of mining science), vol. 4, pp. 33–46
Review
For citations:
Baryakh A.A., Samodelkina N.A. ABOUT ONE CRITERIA OF STRENGTH OF ROCKS. Chebyshevskii Sbornik. 2017;18(3):72-87. (In Russ.) https://doi.org/10.22405/2226-8383-2017-18-3-72-87
Views:
595
Email this article 