Mechanical Properties of Marble with Varying Slenderness Ratios after High Temperatures
Publication: International Journal of Geomechanics
Volume 22, Issue 7
Abstract
Mechanical properties of rock are affected by the specimen slenderness ratios. However, the temperature-dependent nature of rock with different slenderness ratios have not been investigated. To better understand the relationship of slenderness rations and temperature, marble specimens with four slenderness ratios are used to perform uniaxial compressive test after exposure to four different treatment temperatures. Elastic modulus first increases as slenderness ratio increases from 0.5 to 2, followed by a drop as it increases to 4. Peak strain slightly increases with the increase in the treatment temperature. All specimens exhibit a brittle failure, and the brittleness is more pronounced for those with larger slenderness ratios, while the rising treatment temperature changes the rock failure from brittle to slightly ductile. Rock strength decreases as the specimen slenderness ratio increases. A new correction equation accounting for the treatment temperature is proposed to evaluate uniaxial compressive strength. Four failure modes of the rock are observed, including cone-shaped, splitting, shearing, and mixed. The influence of slenderness ratio on rock strength may be associated with the stress difference inside the specimen, and the thermal damage mechanisms can be attributed to dehydration and chemical actions and nonuniform expansion and shrinkage of minerals during the process of heating and cooling.
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Acknowledgments
The authors gratefully acknowledge the support from the Natural Science Foundation of China (Grant Nos. 41672302 and 42177165). Many thanks are given to Prof. Weizhong Chen, who provided the equipment for UCS testing, and Mr. Yu Tang, who helped to perform the laboratory tests.
References
ASTM. 2018. Annual book of ASTM standards. Section 4, Volume 04.09: Soil and Rock (II). ASTM D5878 - latest. Philadeplhia, PA: ASTM.
Bahrani, N., P. K. Kaiser, and B. Valley. 2014. “Distinct element method simulation of an analogue for a highly interlocked, non-persistently jointed rockmass.” Int. J. Rock Mech. Min. Sci. 71: 117–130. https://doi.org/10.1016/j.ijrmms.2014.07.005.
Basu, A., D. A. Mishra, and K. Roychowdhury. 2013. “Rock failure modes under uniaxial compression, Brazilian and point load tests.” Bull. Eng. Geol. Environ. 72: 457–475. https://doi.org/10.1007/s10064-013-0505-4.
Bažant, Z. P. 1997. “Scaling of quasibrittle fracture: Hypotheses of invasive and lacunar fractality, their critique and Weibull connection.” Int. J. Fract. 83: 41. https://doi.org/10.1023/A:1007335506684.
Bennett, K. C., L. A. Berla, W. D. Nix, and R. I. Borja. 2015. “Instrumented nanoindentation and 3D mechanistic modeling of a shale at multiple scales.” Acta Geotech. 10: 1–14. https://doi.org/10.1007/s11440-014-0363-7.
Bordia, S. K. 1971. “The effect of size and stress concentration on the dilatancy and fracture of rock.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 8: 629–640. https://doi.org/10.1016/0148-9062(71)90031-3.
Dhir, R. K., and C. M. Sangha. 1973. “Relationships between size, deformation and strength for cylindrical specimens loaded in uniaxial compression.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 10: 699–712. https://doi.org/10.1016/0148-9062(73)90014-4.
Fairhurst, C. 1973. “Fundamental considerations relating to the strength of rock.” Int. J. Rock Mech. Min. Sci. 4: 117–117.
Fredrich, J. T., B. Evans, and T. F. Wong. 1990. “Effect of grain size on brittle and semibrittle strength: Implications for micromechanical modelling of failure in compression.” J. Geophys. Res. 95: 10907–10920. https://doi.org/10.1029/JB095iB07p10907.
Freire-Lista, D. M., and R. Fort. 2017. “Exfoliation microcracks in building granite: Implications for anisotropy.” Eng. Geol. 220: 85–93. https://doi.org/10.1016/j.enggeo.2017.01.027.
Géraud, Y. 1994. “Variations of connected porosity and inferred permeability in a thermally cracked granite.” Geophys. Res. Lett. 21: 979–982. https://doi.org/10.1029/94GL00642.
Hawkins, A. B. 1998. “Aspects of rock strength.” Bull. Eng. Geol. Environ. 57: 17–30. https://doi.org/10.1007/s100640050017.
Hoek, E., and E. T. Brown. 1980. Underground excavations in rock. London: Institution of Mining and Metallurgy.
Homand-Etienne, F., and R. Houpert. 1989. “Thermally induced microcracking in granites: Characterization and analysis.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 26: 125–134. https://doi.org/10.1016/0148-9062(89)90001-6.
Hudson, J. A., S. L. Crouch, and C. Fairhurst. 1972. “Soft, stiff and servo-controlled testing machines: A review with reference to rock failure.” Eng. Geol. 6: 155–189. https://doi.org/10.1016/0013-7952(72)90001-4.
ISRM (International Society for Rock Mechanics). 2007. The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. ISRM Turkish National Group. Cham, Switzerland: Springer.
Jamshidi, A., M. R. Nikudel, M. Khamehchiyan, and R. Z. Sahamieh. 2016. “The effect of specimen diameter size on uniaxial compressive strength, P-wave velocity and the correlation between them.” Geomech. Geoeng. 11: 13–19. https://doi.org/10.1080/17486025.2015.1006264.
Kahraman, S., and M. Alber. 2006. “Estimating unconfined compressive strength and elastic modulus of a fault breccia mixture of weak blocks and strong matrix.” Int. J. Rock Mech. Min. Sci. 43: 1277–1287. https://doi.org/10.1016/j.ijrmms.2006.03.017.
Košťák, B., and H. U. Bielenstein. 1971. “Strength distribution in hard rock.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 8: 501–521. https://doi.org/10.1016/1365-1609(71)90015-3.
Kranz, R. L. 1979. “Crack-crack and crack-pore interactions in stressed granite.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 16: 37–47. https://doi.org/10.1016/0148-9062(79)90773-3.
Kranz, R. L. 1983. “Microcracks in rocks: A review.” Tectonophysics 100: 449–480. https://doi.org/10.1016/0040-1951(83)90198-1.
Kumari, W. G. P., P. G. Ranjith, M. S. A. Perera, B. K. Chen, and I. M. Abdulagatov. 2017. “Temperature-dependent mechanical behaviour of Australian Strathbogie granite with different cooling treatments.” Eng. Geol. 229: 31–44. https://doi.org/10.1016/j.enggeo.2017.09.012.
Liang, C. Y., Q. B. Zhang, X. Li, and P. Xin. 2016. “The effect of specimen shape and strain rate on uniaxial compressive behavior of rock material.” Bull. Eng. Geol. Environ. 75: 1669–1681. https://doi.org/10.1007/s10064-015-0811-0.
Masoumi, H. 2013. “Investigation into the mechanical behaviour of intact rock at different sizes.” Ph.D. thesis, School of Civil and Environmental Engineering, Univ. of New South Wales.
Mogi, K. 1962. “The influence of the dimensions of specimens on the fracture strength of rocks.” Urban Green Technol. 64: 887–893.
Obert, L., S. L. Windes, and W. I. Duvall. 1946. Standardized tests for determining the physical properties of mine rock. Washington, DC: U.S. Bureau of Mines.
Ozguven, A., and Y. Ozcelik. 2014. “Effects of high temperature on physico-mechanical properties of Turkish natural building stones.” Eng. Geol. 183: 127–136. https://doi.org/10.1016/j.enggeo.2014.10.006.
Peng, J., G. Rong, M. Cai, M.-D. Yao, and C.-B. Zhou. 2016. “Physical and mechanical behaviors of a thermal-damaged coarse marble under uniaxial compression.” Eng. Geol. 200: 88–93. https://doi.org/10.1016/j.enggeo.2015.12.011.
Peng, J., L. N. Y. Wong, and C. I. Teh. 2017. “Influence of grain size heterogeneity on strength and micro-cracking behavior of crystalline rocks.” J. Geophys. Res.: Solid Earth 122 (2): 1054–1073. https://doi.org/10.1002/2016JB013469.
Peng, J., L. N. Y. Wong, and C. I. Teh. 2018. “A re-examination of slenderness ratio effect on rock strength: Insights from DEM grain-based modelling.” Eng. Geol. 246: 245–254. https://doi.org/10.1016/j.enggeo.2018.10.003.
Quiñones, J., J. Arzúa, L. R. Alejano, F. García-Bastante, D. Mas Ivars, and G. Walton. 2017. “Analysis of size effects on the geomechanical parameters of intact granite samples under unconfined conditions.” Acta Geotech. 12: 1229–1242. https://doi.org/10.1007/s11440-017-0531-7.
Scholtès, L., F. V. Donzé, and M. Khanal. 2011. “Scale effects on strength of geomaterials, case study: Coal.” J. Mech. Phys. Solids 59 (5): 1131–1146. https://doi.org/10.1016/j.jmps.2011.01.009.
Shcherbakov, I. P., V. S. Kuksenko, and A. E. Chmel. 2015. “Role of water impurity in impact fracture of quartz in the vicinity of the phase transition at 573°C.” Tech. Phys. 60: 1405–1409. https://doi.org/10.1134/S1063784215090200.
Sun, Q., C. Lv, L. Cao, W. Li, J. Geng, and W. Zhang. 2016. “Thermal properties of sandstone after treatment at high temperature.” Int. J. Rock Mech. Min. Sci. 85: 60–66. https://doi.org/10.1016/j.ijrmms.2016.03.006.
Szlavin, J. 1974. “Relationships between some physical properties of rock determined by laboratory tests.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 11: 57–66. https://doi.org/10.1016/0148-9062(74)92649-7.
Tang, Z. C., M. Sun, and J. Peng. 2019. “Influence of high temperature duration on physical, thermal and mechanical properties of a fine-grained marble.” Appl. Therm. Eng. 156: 34–50. https://doi.org/10.1016/j.applthermaleng.2019.04.039.
Tang, Z. C., Q. Z. Zhang, and J. Peng. 2020. “Effect of thermal treatment on the basic friction angle of rock joint.” Rock Mech. Rock Eng. 53: 1973–1990. https://doi.org/10.1007/s00603-019-02026-w.
Tapponnier, P., and W. F. Brace. 1976. “Development of stress-induced microcracks in Westerly Granite.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 13: 103–112. https://doi.org/10.1016/0148-9062(76)91937-9.
Thuro, K., R. J. Plinninger, S. Zäh, and S. Schütz. 2001. “Scale effects in rock strength properties. Part 1: Unconfined compressive test and Brazilian test.” In EUROCK 2001: Rock Mechanics—A Challenge for Society, edited by P. Eloranta and P. Sarkka, 169–174. Lisse, The Netherlands: Swets & Zeitlinger.
Tian, H., T. Kempka, S. Yu, and M. Ziegler. 2016. “Mechanical properties of sandstones exposed to high temperature.” Rock Mech. Rock Eng. 49: 321–327. https://doi.org/10.1007/s00603-015-0724-z.
Tian, H., G. Mei, G. S. Jiang, and Y. Qin. 2017. “High-temperature influence on mechanical properties of diorite.” Rock Mech. Rock Eng. 50: 1661–1666. https://doi.org/10.1007/s00603-017-1185-3.
Tjioe, M., and R. I. Borja. 2015. “On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 39: 1165–1187.
Tuğrul, A., and I. H. Zarif. 1999. “Correlation of mineralogical and textural characteristics with engineering properties of selected granitic rocks from Turkey.” Eng. Geol. 51: 303–317. https://doi.org/10.1016/S0013-7952(98)00071-4.
Tuncay, E., and N. Hasancebi. 2009. “The effect of length to diameter ratio of test specimens on the uniaxial compressive strength of rock.” Bull. Eng. Geol. Environ. 68: 491–497. https://doi.org/10.1007/s10064-009-0227-9.
Tuncay, E., N. T. Özcan, and A. Kalender. 2019. “An approach to predict the length-to-diameter ratio of a rock core specimen for uniaxial compression tests.” Bull. Eng. Geol. Environ. 78: 5467–5482. https://doi.org/10.1007/s10064-019-01482-6.
Turk, N., and W. R. Dearman. 1986. “A correction equation on the influence of length-to diameter ratio on the uniaxial compressive strength of rocks.” Eng. Geol. 22: 293–300. https://doi.org/10.1016/0013-7952(86)90030-X.
Yang, S. Q., P. G. Ranjith, H. W. Jing, W. L. Tian, and Y. Ju. 2017a. “An experimental investigation on thermal damage and failure mechanical behavior of granite after exposure to different high temperature treatments.” Geothermics 65: 180–197. https://doi.org/10.1016/j.geothermics.2016.09.008.
Yang, S. Q., P. Xu, Y. B. Li, and Y. H. Huang. 2017b. “Experimental investigation on triaxial mechanical and permeability behavior of sandstone after exposure to different high temperature treatments.” Geothermics 69: 93–109. https://doi.org/10.1016/j.geothermics.2017.04.009.
Zhang, F., J. Zhao, D. Hu, F. Skoczylas, and J. Shao. 2018. “Laboratory investigation on physical and mechanical properties of granite after heating and water-cooling treatment.” Rock Mech. Rock Eng. 51: 677–694. https://doi.org/10.1007/s00603-017-1350-8.
Zhang, W., Q. Sun, S. Zhu, and B. Wang. 2017. “Experimental study on mechanical and porous characteristics of limestone affected by high temperature.” Appl. Therm. Eng. 110: 356–362. https://doi.org/10.1016/j.applthermaleng.2016.08.194.
Zhou, X. P., G. Q. Li, and H. C. Ma. 2020. “Real-time experiment investigations on the coupled thermomechanical and cracking behaviors in granite containing three pre-existing fissures.” Eng. Fract. Mech. 224: 106797. https://doi.org/10.1016/j.engfracmech.2019.106797.
Zhou, X. P., Y. D. Shou, Q. H. Qian, and M. H. Yu. 2014. “Three-dimensional nonlinear strength criterion for rock-like materials based on the micromechanical method.” Int. J. Rock Mech. Min. Sci. 72: 54–60. https://doi.org/10.1016/j.ijrmms.2014.08.013.
Zhou, S., W. Zhang, Q. Sun, S. Deng, J. Geng, and C. Li. 2017. “Thermally induced variation of primary wave velocity in granite from Yantai: Experimental and modeling results.” Int. J. Therm. Sci. 114: 320–326. https://doi.org/10.1016/j.ijthermalsci.2017.01.008.
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Published In
International Journal of Geomechanics
Volume 22 • Issue 7 • July 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Aug 16, 2021
Accepted: Jan 23, 2022
Published online: Apr 28, 2022
Published in print: Jul 1, 2022
Discussion open until: Sep 28, 2022
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