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Elasto-Plastic Behavior of Rock during Temperature Drop

Authors: N. Reppas, Y. L. Gui, B. Wetenhall, C. T. Davie, J. Ma

Abstract:

A theoretical constitutive model describing the stress-strain behavior of rock subjected to different confining pressures is presented. A bounding surface plastic model with hardening effects is proposed which includes the effect of temperature drop. The bounding surface is based on a mapping rule and the temperature effect on rock is controlled by Poisson’s ratio. Validation of the results against available experimental data is also presented. The relation of deviatoric stress and axial strain is illustrated at different temperatures to analyze the effect of temperature decrease in terms of stiffness of the material.

Keywords: Rock Deformation, bounding surface, cooling of rock, plasticity model, elasto-plastic behavior

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References:


[1] MA, J. 2014. Coupled flow deformation analysis of fractured porous media subject to elasto-plastic damage. PhD thesis, The University of New South Wales.
[2] Sinha, T., Curtis, J. S., Hancock, B. C., Wassgren, C., 2010. A study on the sensitivity of drucker-prager cap model parameters during the decompression phase of powder compaction simulations. Powder Technology. In Press, Corrected Proof
[3] Khoei, A. R., Azami, A. R., Haeri, S. M., 2004. Implementation of plasticity-based models in dynamic analysis of earth and rockfill dams: A comparison of pastorzienkiewicz and cap models. Computers and Geotechnics. 31, 384-409
[4] Shah, K. R., 1997. An elasto-plastic constitutive model for brittle-ductile transition in porous rocks. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. 34, 367
[5] Bigoni, D., Piccolroaz, A., 2004. Yield criteria for quasibrittle and frictional materials. International Journal of Solids and Structures. 41, 2855-2878.
[6] Lü, P., Li, Q., Song, Y., 2004. Damage constitutive of concrete under uniaxial alternate tension-compression fatigue loading based on double bounding surfaces. International Journal of Solids and Structures. 41, 3151-3166.
[7] Montáns, F. J., 2000. Bounding surface plasticity model with extended masing behavior. Computer Methods in Applied Mechanics and Engineering. 182, 135-162
[8] Mortara, G., 2009. A hierarchical single yield surface for frictional materials. Computers and Geotechnics. 36, 960-967.
[9] Dafalias, Y. F., Popov, E. P., 1975. A model of nonlinearly hardening materials for complex loading. Acta Mechanica. 21, 173-192
[10] Dafalias YF, Herrmann LR. Bounding surface plasticity. II: application to isotropic cohesive soils. Journal of Engineering Mechanics 1986; 112(12):1263–1291.
[11] Bardet JP. Bounding surface plasticity for sands. Journal of Engineering Mechanics 1986; 112(11): 1198–1217
[12] Khalili, N., Habte, M. & Valliappan, S. 2005. A bounding surface plasticity model for cyclic loading of granular soils. International journal for numerical methods in engineering, 63, 1939-1960.
[13] Fardis, M. N., Alibe, B., Tassoulas, J. L., 1983. Monotonic and cyclic constitutive law for concrete. Journal of Engineering Mechanics. 109, 516-536.
[14] Guo, P. J., Wan, R. G., 1998. Modelling the cyclic behaviour of brittle materials using a bounding surface plasticity-damage model. International Journal of Rock Mechanics and Mining Sciences. 35, 437-438.
[15] Sheng, Y., Peng, W., Wen, Z. & Fukuda, M. Physical properties of frozen soils measured using ultrasonic techniques. Proceedings of 8th International Conference on Permafrost, 2003. 1035-1038.
[16] Wu, G., Wang, Y., Swift, G. & Chen, J. 2013.Laboratory Investigation of the Effects of Temperature on the Mechanical Properties of Sandstone. Geotechnical and Geological Engineering, 31.
[17] Aoki, K., Hibiya, K. & Yoshida, T. 1990. Storage of refrigerated liquefied gases in rock caverns: characteristics of rock under very low temperatures. Tunnelling and Underground Space Technology, 5, 319-325.
[18] Reppas, N., Gui, Y. L. & Wetenhall, B. 2019. A General Review on Rock Stability Due to CO2 Injection. 53rd U.S. Rock Mechanics/Geomechanics Symposium. New York City, New York: American Rock Mechanics Association.
[19] Wood, D. M. 1991. Soil Behaviour and Critical State Soil Mechanics, Cambridge, Cambridge University Press.
[20] Khalili, N., Habte, M. A. & Zargarbashi, S. 2008. A fully coupled flow deformation model for cyclic analysis of unsaturated soils including hydraulic and mechanical hystereses. Computers and Geotechnics, 35, 872-889.
[21] Huang, S., Liu, Q., Liu, Y., Ye, Z. & Cheng, A. 2018. Freezing Strain Model for Estimating the Unfrozen Water Content of Saturated Rock under Low Temperature. International Journal of Geomechanics, 18, 04017137.
[22] Wong, T.-F., David, C. & Zhu, W. 1997. The transition from brittle faulting to cataclastic flow in porous sandstones: Mechanical deformation. Journal of Geophysical Research: Solid Earth, 102, 3009-3025.
[23] The Mathworks Inc., Matlab, R2020b
[computer program], 2020
[24] Baud, P., Zhu, W. & Wong, T. F. 2000. Failure mode and weakening effect of water on sandstone. Journal of Geophysical Research: Solid Earth, 105, 16371-16389.