Softening Behavior and Volumetric Deformation of Rocks
Publication: International Journal of Geomechanics
Volume 18, Issue 8
Abstract
In this study, a constitutive model and numerical analysis were conducted on various types of rocks under triaxial compression to determine their softening response and volumetric strain. Experimental data sets corresponding to different types of rocks were used to determine the elastoplastic material parameters and disturbance parameters of the proposed model. The disturbed state concept was utilized based on the response of the material in two states. Relatively intact (RI) and fully adjusted (FA) responses were interpolated using a state function called a disturbance. The RI and FA parts were modeled based on nonlinear finite element analysis (NFEA) and the residual strength of the corresponding material, respectively. For the RI state, the elastoplastic behavior was simulated using a hierarchical single surface (HISS) plasticity model to account for factors such as continuous yielding, volumetric change and the stress path dependence of rock. The failure surfaces used for different types of rocks were extracted from a computer program and represented in this investigation. Furthermore, the contours of disturbance (D) were depicted and the failure pattern of corresponding rock was estimated based on the distribution of disturbance values. Verification of the numerical results with experimental data sets showed a good accuracy for various types of rocks under different confining pressures.
Get full access to this article
View all available purchase options and get full access to this article.
References
Akhaveissy, A. H., C. S. Desai, S. A. A. D. Sadrnejad, and H. Shakib. 2009. “Implementation and comparison of generalized plasticity and disturbed state concept for load-deformation behavior of foundation.” Scientia Iranica Transaction A: Civil Engineering. 16 (3): 189–198.
Bathe, K.-J. 2006. Finite element procedures. 1st ed. Upper Saddle River, NJ: Prentice-Hall.
Bésuelle, P., J. Desrues, and S. Raynaud. 2000. “Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell.” Int. J. Rock Mech. Min. Sci. 37 (8): 1223–1237. https://doi.org/10.1016/S1365-1609(00)00057-5.
Chen, W., H. Konietzky, X. Tan, and T. Frühwirt. 2016. “Pre-failure damage analysis for brittle rocks under triaxial compression.” Comput. Geotech. 74: 45–55. https://doi.org/10.1016/j.compgeo.2015.11.018.
De Borst, R., M. A. Crisfield, J. J. C. Remmers, and C. V. Verhoosel. 2012. Nonlinear finite element analysis of solids and structures. 2nd ed. Hoboken, NJ: John Wiley & Sons.
Desai, C. S. 2000. Mechanics of materials and interfaces: The disturbed state concept. Boca Raton, FL: CRC Press.
Desai, C. S. 2007. “Unified DSC constitutive model for pavement materials with numerical implementation.” Int. J. Geomech. 7 (2): 83–101.https://doi.org/10.1061/(ASCE)1532-3641(2007)7:2(83).
Desai, C. S., and Z. Wang. 2003. “Disturbed state model for porous saturated materials.” Int. J. Geomech. 3 (2): 260–265. https://doi.org/10.1061/(ASCE)1532-3641(2003)3:2(260).
Honkanadavar, N. P., and K. G. Sharma. 2014. “Testing and modeling the behavior of riverbed and blasted quarried rockfill materials.” Int. J. Geomech. 14 (6): 4014028. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000378.
Khoei, A. 2005. Computational plasticity in powder forming processes. Amsterdam, Netherlands: Elsevier.
Kranz, R. L. 1983. “Microcracks in rocks: A review.” Tectonophysics 100 (1–3): 449–480. https://doi.org/10.1016/0040-1951(83)90198-1.
Li, X., W.-G. Cao, and Y.-H. Su. 2012. “A statistical damage constitutive model for softening behavior of rocks.” Eng. Geol. 143–144: 1–17. https://doi.org/10.1016/j.enggeo.2012.05.005.
Ouria, A., C. S. Desai, and V. Toufigh. 2015. “Disturbed state concept–based solution for consolidation of plastic clays under cyclic loading.” Int. J. Geomech. 15 (1): 4014039. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000336.
Peng, J., G. Rong, M. Cai, M. Yao, and C. Zhou. 2016. “Comparison of mechanical properties of undamaged and thermal-damaged coarse marbles under triaxial compression.” Int. J. Rock Mech. Min. Sci. 83: 135–139. https://doi.org/10.1016/j.ijrmms.2015.12.016.
Sulem, J., and H. Ouffroukh. 2006. “Shear banding in drained and undrained triaxial tests on a saturated sandstone: Porosity and permeability evolution.” Int. J. Rock Mech. Min. Sci. 43 (2): 292–310. https://doi.org/10.1016/j.ijrmms.2005.07.001.
Toufigh, V., M. J. Abyaneh, and K. Jafari. 2017a. “Study of behavior of concrete under axial and triaxial compression.” ACI Mater. J. 114 (4): 619–629. https://doi.org/10.14359/51689716.
Toufigh, V., C. S. Desai, H. Saadatmanesh, V. Toufigh, S. Ahmari, and E. Kabiri. 2014. “Constitutive modeling and testing of interface between backfill soil and fiber-reinforced polymer.” Int. J. Geomech. 14 (3): 4014009. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000298.
Toufigh, V., M. Hosseinali, and S. M. Shirkhorshidi. 2016. “Experimental study and constitutive modeling of polymer concrete’s behavior in compression.” Constr. Build. Mater. 112: 183–190. https://doi.org/10.1016/j.conbuildmat.2016.02.100.
Toufigh, V., S. Masoud Shirkhorshidi, and M. Hosseinali. 2017b. “Experimental investigation and constitutive modeling of polymer concrete and sand interface.” Int. J. Geomech. 17 (1): 4016043. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000695.
Xiao, Y., and H. Liu. 2017. “Elastoplastic constitutive model for rockfill materials considering particle breakage.” Int. J. Geomech. 17 (1): 14016041. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000681.
Xiao, Y., H. Liu, Y. Chen, J. Jiang, and W. Zhang. 2015. “State-dependent constitutive model for rockfill materials.” Int. J. Geomech. 14014075. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000421.
Xiao, Y., A. W. Stuedlein, Q. Chen, H. Liu, and P. Liu. 2018. “Stress-strain-strength response and ductility of gravels improved by polyurethane foam adhesive.” J. Geotech. Geoenviron. Eng. 15 (5): 04017108. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001812.
Xiao, Y., Y. Sun, F. Yin, H. Liu, and J. Xiang. 2017. “Constitutive modeling for transparent granular soils.” Int. J. Geomech. 17 (7): 04016150. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000857.
Xie, S. Y., and J. F. Shao. 2015. “An experimental study and constitutive modeling of saturated porous rocks.” Rock Mech. Rock Eng. 48 (1): 223–234. https://doi.org/10.1007/s00603-014-0561-5.
Yang, S. Q., Y. Z. Jiang, W. Y. Xu, and X. Q. Chen. 2008. “Experimental investigation on strength and failure behavior of pre-cracked marble under conventional triaxial compression.” Int. J. Solids Struct. 45 (17): 4796–4819. https://doi.org/10.1016/j.ijsolstr.2008.04.023.
Yang, S.-Q., H.-W. Jing, and S.-Y. Wang. 2012. “Experimental investigation on the strength, deformability, failure behavior and acoustic emission locations of red sandstone under triaxial compression.” Rock Mech. Rock Eng. 45 (4): 583–606. https://doi.org/10.1007/s00603-011-0208-8.
Zong, Y., L. Han, J. Wei, and S. Wen. 2015. “Mechanical and damage evolution properties of sandstone under triaxial compression.” Int. J. Min. Sci. Technol. 26 (4): 601–607.
Information & Authors
Information
Published In
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Oct 9, 2017
Accepted: Jan 30, 2018
Published online: May 17, 2018
Published in print: Aug 1, 2018
Discussion open until: Oct 17, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.