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Erschienen in: Rock Mechanics and Rock Engineering 5/2016

22.12.2015 | Original Paper

Size and Geometry Effects on the Mechanical Properties of Carrara Marble Under Dynamic Loadings

verfasst von: Chunjiang Zou, Louis Ngai Yuen Wong

Erschienen in: Rock Mechanics and Rock Engineering | Ausgabe 5/2016

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Abstract

The effects of specimen size and geometry on the dynamic mechanical properties of Carrara marble including compressive strength, failure strain and elastic modulus are investigated in this research. Four different groups of specimens of different sizes and cross-sectional geometries are loaded under a wide range of strain rates by the split Hopkinson pressure bar setup. The experimental results indicate that all these mechanical properties are significantly influenced by the specimen size and geometry to different extent, hence highlighting the importance of taking into account of the specimen size and geometry in dynamic tests on rock materials. In addition, the transmission coefficient and the determination of strain rate under dynamic tests are discussed in detail.

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Literatur
Zurück zum Zitat Alber M, Hauptfleisch U (1999) Generation and visualization of microfractures in Carrara marble for estimating fracture toughness, fracture shear and fracture normal stiffness. Int J Rock Mech Min 36:1065–1071. doi:10.1016/s1365-1609(99)00069-6 CrossRef Alber M, Hauptfleisch U (1999) Generation and visualization of microfractures in Carrara marble for estimating fracture toughness, fracture shear and fracture normal stiffness. Int J Rock Mech Min 36:1065–1071. doi:10.​1016/​s1365-1609(99)00069-6 CrossRef
Zurück zum Zitat Banthia N, Mindess S, Bentur A, Pigeon M (1989) Impact testing of concrete using a drop-weight impact machine. Exp Mech 29:63–69CrossRef Banthia N, Mindess S, Bentur A, Pigeon M (1989) Impact testing of concrete using a drop-weight impact machine. Exp Mech 29:63–69CrossRef
Zurück zum Zitat Bearman R, Briggs C, Kojovic T (1997) The applications of rock mechanics parameters to the prediction of comminution behaviour. Miner Eng 10:255–264CrossRef Bearman R, Briggs C, Kojovic T (1997) The applications of rock mechanics parameters to the prediction of comminution behaviour. Miner Eng 10:255–264CrossRef
Zurück zum Zitat Bobet A (1997) Fracture coalescence in rock materials: experimental observations and numerical predictions. Dissertation, Massachusetts Institute of Technology Bobet A (1997) Fracture coalescence in rock materials: experimental observations and numerical predictions. Dissertation, Massachusetts Institute of Technology
Zurück zum Zitat Chen W, Song B, Chen WW (2011a) Kolsky compression bar experiments on brittle materials. In: Split Hopkinson (Kolsky) bar. Mechanical Engineering Series. Springer US, pp 77–118. doi:10.1007/978-1-4419-7982-7_3 Chen W, Song B, Chen WW (2011a) Kolsky compression bar experiments on brittle materials. In: Split Hopkinson (Kolsky) bar. Mechanical Engineering Series. Springer US, pp 77–118. doi:10.​1007/​978-1-4419-7982-7_​3
Zurück zum Zitat Chen W, Song B, Chen WW (2011b) Testing conditions in Kolsky bar experiments. In: Split Hopkinson (Kolsky) bar. Mechanical Engineering Series. Springer US, pp 37–75. doi:10.1007/978-1-4419-7982-7_2 Chen W, Song B, Chen WW (2011b) Testing conditions in Kolsky bar experiments. In: Split Hopkinson (Kolsky) bar. Mechanical Engineering Series. Springer US, pp 37–75. doi:10.​1007/​978-1-4419-7982-7_​2
Zurück zum Zitat Forquin P, Gary G, Gatuingt F (2008) A testing technique for concrete under confinement at high rates of strain. Int J Impact Eng 35:425–446CrossRef Forquin P, Gary G, Gatuingt F (2008) A testing technique for concrete under confinement at high rates of strain. Int J Impact Eng 35:425–446CrossRef
Zurück zum Zitat Frew D, Forrestal M, Chen W (2001) A split Hopkinson pressure bar technique to determine compressive stress–strain data for rock materials. Exp Mech 41:40–46. doi:10.1007/bf02323102 CrossRef Frew D, Forrestal M, Chen W (2001) A split Hopkinson pressure bar technique to determine compressive stress–strain data for rock materials. Exp Mech 41:40–46. doi:10.​1007/​bf02323102 CrossRef
Zurück zum Zitat Goldsmith W, Sackman J, Ewerts C (1976) Static and dynamic fracture strength of Barre granite. Int J Rock Mech Min Sci Geomech Abstr 13:303–309CrossRef Goldsmith W, Sackman J, Ewerts C (1976) Static and dynamic fracture strength of Barre granite. Int J Rock Mech Min Sci Geomech Abstr 13:303–309CrossRef
Zurück zum Zitat Gray III GT (2000) Classic split-Hopkinson pressure bar testing vol 8. ASM Handbook, Mechanical Testing and Evaluation (ASM International) Gray III GT (2000) Classic split-Hopkinson pressure bar testing vol 8. ASM Handbook, Mechanical Testing and Evaluation (ASM International)
Zurück zum Zitat Gunasekera JS, Havranek J, Littlejohn MH (1982) The effect of specimen size on stress–strain behavior in compression. J Eng Mater Technol 104:274–279. doi:10.1115/1.3225076 CrossRef Gunasekera JS, Havranek J, Littlejohn MH (1982) The effect of specimen size on stress–strain behavior in compression. J Eng Mater Technol 104:274–279. doi:10.​1115/​1.​3225076 CrossRef
Zurück zum Zitat Haimson B (2006) True triaxial stresses and the brittle fracture of rock. In: Dresen G, Zang A, Stephansson O (eds) Rock damage and fluid transport, part I. Pageoph Topical Volumes. Birkhäuser, Basel, pp 1101–1130. doi:10.1007/3-7643-7712-7_12 Haimson B (2006) True triaxial stresses and the brittle fracture of rock. In: Dresen G, Zang A, Stephansson O (eds) Rock damage and fluid transport, part I. Pageoph Topical Volumes. Birkhäuser, Basel, pp 1101–1130. doi:10.​1007/​3-7643-7712-7_​12
Zurück zum Zitat Hoek E, Brown ET (1981) Underground excavations in rock. Institution of Mining and Metallurgy, London Hoek E, Brown ET (1981) Underground excavations in rock. Institution of Mining and Metallurgy, London
Zurück zum Zitat Hong L, Li X, Ma C (2008) Study on size effect of rock dynamic strength and strain rate sensitivity. Chin J Rock Mech Eng 27:526–533 Hong L, Li X, Ma C (2008) Study on size effect of rock dynamic strength and strain rate sensitivity. Chin J Rock Mech Eng 27:526–533
Zurück zum Zitat Kaiser MA (1998) Advancements in the split Hopkinson bar test. Dissertation, Virginia Polytechnic Institute and State University Kaiser MA (1998) Advancements in the split Hopkinson bar test. Dissertation, Virginia Polytechnic Institute and State University
Zurück zum Zitat Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proc Phys Soc Lond Sect B 62:676CrossRef Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proc Phys Soc Lond Sect B 62:676CrossRef
Zurück zum Zitat Li Y, Xia C (2000) Time-dependent tests on intact rocks in uniaxial compression. Int J Rock Mech Min 37:467–475CrossRef Li Y, Xia C (2000) Time-dependent tests on intact rocks in uniaxial compression. Int J Rock Mech Min 37:467–475CrossRef
Zurück zum Zitat Lindholm U, Yeakley L, Nagy A (1974) The dynamic strength and fracture properties of dresser basalt. Int J Rock Mech Min Sci Geomech Abstr 11:181–191CrossRef Lindholm U, Yeakley L, Nagy A (1974) The dynamic strength and fracture properties of dresser basalt. Int J Rock Mech Min Sci Geomech Abstr 11:181–191CrossRef
Zurück zum Zitat Olsson W (1991) The compressive strength of tuff as a function of strain rate from 10−6 to 103 sec. Int J Rock Mech Min Sci Geomech Abstr 28:115–118CrossRef Olsson W (1991) The compressive strength of tuff as a function of strain rate from 10−6 to 103 sec. Int J Rock Mech Min Sci Geomech Abstr 28:115–118CrossRef
Zurück zum Zitat Rapp G, Wagner GA, Herrmann B (2009) Archaeomineralogy [electronic resource]. In: Herrmann B, Wagner GA (eds) Natural science in archaeology. Springer, Berlin Rapp G, Wagner GA, Herrmann B (2009) Archaeomineralogy [electronic resource]. In: Herrmann B, Wagner GA (eds) Natural science in archaeology. Springer, Berlin
Zurück zum Zitat Ravichandran G, Subhash G (1994) critical-appraisal of limiting strain rates for compression testing of ceramics in a split Hopkinson pressure bar. J Am Ceram Soc 77:263–267CrossRef Ravichandran G, Subhash G (1994) critical-appraisal of limiting strain rates for compression testing of ceramics in a split Hopkinson pressure bar. J Am Ceram Soc 77:263–267CrossRef
Zurück zum Zitat Rodríguez J, Cortés R, Martínez MA, Sánchez-Gálvez V, Navarro C (1995) Numerical study of the specimen size effect in the split Hopkinson pressure bar tests. J Mater Sci 30:4720–4725. doi:10.1007/bf01153084 CrossRef Rodríguez J, Cortés R, Martínez MA, Sánchez-Gálvez V, Navarro C (1995) Numerical study of the specimen size effect in the split Hopkinson pressure bar tests. J Mater Sci 30:4720–4725. doi:10.​1007/​bf01153084 CrossRef
Zurück zum Zitat Ross CA, Thompson PY, Tedesco JW (1989) Split-Hopkinson pressure-bar tests on concrete and mortar in tension and compression. ACI Mater J 86:475–481 Ross CA, Thompson PY, Tedesco JW (1989) Split-Hopkinson pressure-bar tests on concrete and mortar in tension and compression. ACI Mater J 86:475–481
Zurück zum Zitat Ross CA, Tedesco JW, Kuennen ST (1995) Effects of strain-rate on concrete strength. ACI Mater J 92:37–47 Ross CA, Tedesco JW, Kuennen ST (1995) Effects of strain-rate on concrete strength. ACI Mater J 92:37–47
Zurück zum Zitat Shockey DA, Curran DR, Seaman L, Rosenberg JT, Petersen CF (1974b) Fragmentation of rock under dynamic loads. Int J Rock Mech Min Sci Geomech Abstr 8:303–317CrossRef Shockey DA, Curran DR, Seaman L, Rosenberg JT, Petersen CF (1974b) Fragmentation of rock under dynamic loads. Int J Rock Mech Min Sci Geomech Abstr 8:303–317CrossRef
Zurück zum Zitat Siviour CR (2009) A measurement of wave propagation in the split Hopkinson pressure bar. Meas Sci Technol 20:065702CrossRef Siviour CR (2009) A measurement of wave propagation in the split Hopkinson pressure bar. Meas Sci Technol 20:065702CrossRef
Zurück zum Zitat Woldesenbet E, Vinson JR (1999) Specimen geometry effects on high-strain-rate testing of graphite/epoxy composites. AIAA J 37:1102–1106. doi:10.2514/2.820 CrossRef Woldesenbet E, Vinson JR (1999) Specimen geometry effects on high-strain-rate testing of graphite/epoxy composites. AIAA J 37:1102–1106. doi:10.​2514/​2.​820 CrossRef
Zurück zum Zitat Wong NY (2008) Crack coalescence in molded gypsum and Carrara marble. Dissertation, Massachusetts Institute of Technology Wong NY (2008) Crack coalescence in molded gypsum and Carrara marble. Dissertation, Massachusetts Institute of Technology
Zurück zum Zitat Wong LNY, Einstein H (2006) Fracturing behavior of prismatic specimens containing single flaws. In: Association ARM (ed) 41st U.S. rock mechanics symposium—ARMA’s Golden Rocks 2006—50 years of rock mechanics, Golden Wong LNY, Einstein H (2006) Fracturing behavior of prismatic specimens containing single flaws. In: Association ARM (ed) 41st U.S. rock mechanics symposium—ARMA’s Golden Rocks 2006—50 years of rock mechanics, Golden
Zurück zum Zitat Wong LNY, Einstein HH (2009a) Crack coalescence in molded gypsum and Carrara marble: part 1. Macroscopic observations and interpretation. Rock Mech Rock Eng 42:475–511CrossRef Wong LNY, Einstein HH (2009a) Crack coalescence in molded gypsum and Carrara marble: part 1. Macroscopic observations and interpretation. Rock Mech Rock Eng 42:475–511CrossRef
Zurück zum Zitat Wong LNY, Einstein HH (2009b) Crack coalescence in molded gypsum and Carrara marble: part 2. Microscopic observations and interpretation. Rock Mech Rock Eng 42:513–545CrossRef Wong LNY, Einstein HH (2009b) Crack coalescence in molded gypsum and Carrara marble: part 2. Microscopic observations and interpretation. Rock Mech Rock Eng 42:513–545CrossRef
Zurück zum Zitat Wong LNY, Einstein HH (2009c) Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. Int J Rock Mech Min 46:239–249CrossRef Wong LNY, Einstein HH (2009c) Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. Int J Rock Mech Min 46:239–249CrossRef
Zurück zum Zitat Wong LNY, Zou C (2012) Cracking processes in rocks under dynamic loading. In: Paper presented at the ARMS7, 7th Asian rock mechanics symposium, Seoul Wong LNY, Zou C (2012) Cracking processes in rocks under dynamic loading. In: Paper presented at the ARMS7, 7th Asian rock mechanics symposium, Seoul
Zurück zum Zitat Zhang QB, Zhao J (2013) Effect of loading rate on fracture toughness and failure micromechanisms in marble. Eng Fract Mech 102:288–309CrossRef Zhang QB, Zhao J (2013) Effect of loading rate on fracture toughness and failure micromechanisms in marble. Eng Fract Mech 102:288–309CrossRef
Zurück zum Zitat Zhao J (2011) An overview of some recent progress in rock dynamics research. In: Zhou Y, Zhao J (eds) Advances in rock dynamics and applications. CRC Press, pp 5–33. doi:10.1201/b11077-3 Zhao J (2011) An overview of some recent progress in rock dynamics research. In: Zhou Y, Zhao J (eds) Advances in rock dynamics and applications. CRC Press, pp 5–33. doi:10.​1201/​b11077-3
Metadaten
Titel
Size and Geometry Effects on the Mechanical Properties of Carrara Marble Under Dynamic Loadings
verfasst von
Chunjiang Zou
Louis Ngai Yuen Wong
Publikationsdatum
22.12.2015
Verlag
Springer Vienna
Erschienen in
Rock Mechanics and Rock Engineering / Ausgabe 5/2016
Print ISSN: 0723-2632
Elektronische ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-015-0899-3

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