Skip to main content
Erschienen in: Geotechnical and Geological Engineering 2/2014

01.04.2014 | Original paper

A Review of the Tensile Strength of Rock: Concepts and Testing

verfasst von: Matthew A. Perras, Mark S. Diederichs

Erschienen in: Geotechnical and Geological Engineering | Ausgabe 2/2014

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A review of the tensile strength of rock was conducted to determine the relationship between direct tensile strength (DTS) and Brazilian tensile strength (BTS) and to examine the validity of estimating tensile strength from other measured properties, such as the crack initiation (CI) threshold. A data set was gathered from the existing literature where tensile values could be reliably correlated with unconfined compressive strength or CI values. It was determined that the BTS obtained in standard testing is generally greater than the equivalent DTS and that this relationship is rock type dependent. CI yields a reasonable estimate of tensile strength and this correlation is improved when the BTS values are reduced to DTS values by rock type specific correlations. The factor f, in DTS = f BTS, can be considered to be approximately 0.9 for metamorphic, 0.8 for igneous and 0.7 for sedimentary rocks. The relationships presented demonstrate that there is wide scatter in the available data for estimating tensile strength likely due to both specimen variability and testing configuration, including platen geometry and relative stiffness. Estimates of tensile strength should only be used for preliminary design purposes and measurements should be made to confirm preliminary assumptions for each design.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Akazawa T (1943) New test method for evaluating internal stress due to compression of concrete: the splitting tension test. J Japan Soc Civil Eng 29:777–787 Akazawa T (1943) New test method for evaluating internal stress due to compression of concrete: the splitting tension test. J Japan Soc Civil Eng 29:777–787
Zurück zum Zitat ASTM (2008a) D2936-08: standard test method for direct tensile strength of intact rock core specimens. ASTM International, West Conshohocken ASTM (2008a) D2936-08: standard test method for direct tensile strength of intact rock core specimens. ASTM International, West Conshohocken
Zurück zum Zitat ASTM (2008b) D3967-08: standard test method for splitting tensile strength of intact rock core specimens. ASTM International, West Conshohocken ASTM (2008b) D3967-08: standard test method for splitting tensile strength of intact rock core specimens. ASTM International, West Conshohocken
Zurück zum Zitat Betournay M (1983) Examinatin of URL-1, URL-2, and URL-5 Uniaxial compressive and tensile test data. Canadian Centre for Mineral and Energy Technology, Mining Research Laboratories Division Report, ERP/MRL 83-26(TR) Betournay M (1983) Examinatin of URL-1, URL-2, and URL-5 Uniaxial compressive and tensile test data. Canadian Centre for Mineral and Energy Technology, Mining Research Laboratories Division Report, ERP/MRL 83-26(TR)
Zurück zum Zitat Brace WF (1964) Brittle fracture of rocks. In: Judd WR (ed) Proceedings of the International Conference on State of Stress in the Earth’s Crust. Elsevier, New York, pp 111–174 Brace WF (1964) Brittle fracture of rocks. In: Judd WR (ed) Proceedings of the International Conference on State of Stress in the Earth’s Crust. Elsevier, New York, pp 111–174
Zurück zum Zitat Carneiro FLLB (1943) A new method to determine the tensile strength of concrete. In: Proceedings of the 5th Meeting of the Brazilian Association for Technical Rules Carneiro FLLB (1943) A new method to determine the tensile strength of concrete. In: Proceedings of the 5th Meeting of the Brazilian Association for Technical Rules
Zurück zum Zitat Colback PSB (1966) An analysis of brittle fracture initiation and propagation in the Brazilian test. 1st ISRM congress. Lisbon, Portugal, 1CONGRESS-1966-066 Colback PSB (1966) An analysis of brittle fracture initiation and propagation in the Brazilian test. 1st ISRM congress. Lisbon, Portugal, 1CONGRESS-1966-066
Zurück zum Zitat Diedeirchs MS (1999) Instability of hard rockmasses: the role of tensile damage and relaxation. PhD Thesis, Department of Civil Engineering, University of Waterloo, Waterloo, Canada, pp 566 Diedeirchs MS (1999) Instability of hard rockmasses: the role of tensile damage and relaxation. PhD Thesis, Department of Civil Engineering, University of Waterloo, Waterloo, Canada, pp 566
Zurück zum Zitat Diederichs MS (2007) The 2003 Canadian geotechnical colloquium: mechanistic interpretation and practical application of damage and spalling prediction criteria for deep tunnelling. Can Geotech J 44:1082–1116. doi:10.1139/T07-033 CrossRef Diederichs MS (2007) The 2003 Canadian geotechnical colloquium: mechanistic interpretation and practical application of damage and spalling prediction criteria for deep tunnelling. Can Geotech J 44:1082–1116. doi:10.​1139/​T07-033 CrossRef
Zurück zum Zitat Diederichs MS, Martin CD (2010) Measurement of spalling parameters from laboratory testing. In: Zhao J, Labiouse V, Dudt JP, Mathier JF (eds) Proc of Eurock 2010. Lausanne, Switzerland Diederichs MS, Martin CD (2010) Measurement of spalling parameters from laboratory testing. In: Zhao J, Labiouse V, Dudt JP, Mathier JF (eds) Proc of Eurock 2010. Lausanne, Switzerland
Zurück zum Zitat Eberhardt E, Stead D, Stimpson B, Read RS (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233. doi:10.1139/t97-091 CrossRef Eberhardt E, Stead D, Stimpson B, Read RS (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233. doi:10.​1139/​t97-091 CrossRef
Zurück zum Zitat Fairhurst C (1961) Laboratory measurements of some physical properties of rock. In: Proceedings of the fourth symposium on rock mechanics. Pennsylvania, USA Fairhurst C (1961) Laboratory measurements of some physical properties of rock. In: Proceedings of the fourth symposium on rock mechanics. Pennsylvania, USA
Zurück zum Zitat Falls S (1993) Ultrasonic imaging and acoustic emission studies of microcrack development in lac du bonnet granite. PhD Thesis, Queens University, Kingston, Canada Falls S (1993) Ultrasonic imaging and acoustic emission studies of microcrack development in lac du bonnet granite. PhD Thesis, Queens University, Kingston, Canada
Zurück zum Zitat Franklin JA, Dusseault MB (1989) Rock engineering. McGraw-Hill, New York, p 600 Franklin JA, Dusseault MB (1989) Rock engineering. McGraw-Hill, New York, p 600
Zurück zum Zitat Ghazvinian E, Diederichs M, Archibald J (2011) Challenges related to standardized detection of crack initiation thresholds for lower-bound or ultra-long-term strength prediction of rock. In: Proceedings of the Pan-Am CGS Geotechnical Conference. Toronto, Canada Ghazvinian E, Diederichs M, Archibald J (2011) Challenges related to standardized detection of crack initiation thresholds for lower-bound or ultra-long-term strength prediction of rock. In: Proceedings of the Pan-Am CGS Geotechnical Conference. Toronto, Canada
Zurück zum Zitat Golder (2011) Geotechnical data report: geotechnical and hydrogeological investigation—Ottawa light rail transit (OLRT) tunnel (segment 2). Ottawa, Ontario. Report Number 10-1121-0222 Golder (2011) Geotechnical data report: geotechnical and hydrogeological investigation—Ottawa light rail transit (OLRT) tunnel (segment 2). Ottawa, Ontario. Report Number 10-1121-0222
Zurück zum Zitat Gorski B (1993) Tensile testing apparatus. United States Patent, 5193396 Gorski B (1993) Tensile testing apparatus. United States Patent, 5193396
Zurück zum Zitat Gorski B, Yu YS (1991) Tensile strength tests on URL rock specimens from borehole 401-009-HF1. CANMET Mining Research Laboratories report MRL 91-080(TR) Gorski B, Yu YS (1991) Tensile strength tests on URL rock specimens from borehole 401-009-HF1. CANMET Mining Research Laboratories report MRL 91-080(TR)
Zurück zum Zitat Gorski B, Conlon B, Ljunggren B (2007) Forsmark Site investigation—Determination of the direct and indirect tensile strength on cores from borehole KFM01D. SKB P-07-76,Svensk ärnbränslehantering AB Gorski B, Conlon B, Ljunggren B (2007) Forsmark Site investigation—Determination of the direct and indirect tensile strength on cores from borehole KFM01D. SKB P-07-76,Svensk ärnbränslehantering AB
Zurück zum Zitat Gorski B, Anderson T, Conlon T (2009) DGR site characterization documents, technical reports TR-07-03 and TR-08-11. www.nwmo.ca Gorski B, Anderson T, Conlon T (2009) DGR site characterization documents, technical reports TR-07-03 and TR-08-11. www.​nwmo.​ca
Zurück zum Zitat Gorski B, Anderson T, Conlon T (2010) DGR site characterization documents, technical reports TR-08-24 and TR-08-36. www.nwmo.ca Gorski B, Anderson T, Conlon T (2010) DGR site characterization documents, technical reports TR-08-24 and TR-08-36. www.​nwmo.​ca
Zurück zum Zitat Gorski B, Rodgers D, Conlon B (2011) DGR site characterization document, technical report TR-09-07 www.nwmo.ca Gorski B, Rodgers D, Conlon B (2011) DGR site characterization document, technical report TR-09-07 www.​nwmo.​ca
Zurück zum Zitat Grasle W, Plischke I (2010) LT experiment: mechanical behavior of Opalinus clay, final report from Phases 6-14. Mont Terri Project Technical Report 2009–07 Grasle W, Plischke I (2010) LT experiment: mechanical behavior of Opalinus clay, final report from Phases 6-14. Mont Terri Project Technical Report 2009–07
Zurück zum Zitat Graue R, Siegesmund S, Middendorf B (2011) Quality assessment of replacement stones for the Cologne Cathedral: mineralogical and petrophysical requirements. Environ Earth Sci 63:1799–1822. doi:10.1007/s12665-011-1077-x CrossRef Graue R, Siegesmund S, Middendorf B (2011) Quality assessment of replacement stones for the Cologne Cathedral: mineralogical and petrophysical requirements. Environ Earth Sci 63:1799–1822. doi:10.​1007/​s12665-011-1077-x CrossRef
Zurück zum Zitat Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc Lond 221A:163–198CrossRef Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc Lond 221A:163–198CrossRef
Zurück zum Zitat Griffith AA (1924) Theory of rupture. In: Proceedings of the 1st international congress on applied mechanics. Delft, pp 55–63 Griffith AA (1924) Theory of rupture. In: Proceedings of the 1st international congress on applied mechanics. Delft, pp 55–63
Zurück zum Zitat Haimson BC, Cornet FH (2003) ISRM suggested methods for rock stress estimation—Part 3: hydraulic fracturing (HF) and/or hydraulic testing of pre-existing fractures (HTPF). Int J of Rock Mech Min Sci 40:1011–1020. doi:10.1016/j.ijrmms.2003.08.002 CrossRef Haimson BC, Cornet FH (2003) ISRM suggested methods for rock stress estimation—Part 3: hydraulic fracturing (HF) and/or hydraulic testing of pre-existing fractures (HTPF). Int J of Rock Mech Min Sci 40:1011–1020. doi:10.​1016/​j.​ijrmms.​2003.​08.​002 CrossRef
Zurück zum Zitat Hansen FD, Vogt TJ (1987) Thermo mechanical properties of selected shales. Oak Ridge National Laboratory Report ORNL/Sub/85-97343/2 (RSI-0305) Hansen FD, Vogt TJ (1987) Thermo mechanical properties of selected shales. Oak Ridge National Laboratory Report ORNL/Sub/85-97343/2 (RSI-0305)
Zurück zum Zitat Hardy HR, Jayaraman NI (1970) An investigation of methods for the determination of the tensile strength of rock. In: Proceedings of the 2nd congress international society for rock mechanics, Belgrade, vol 3, pp 85–92 Hardy HR, Jayaraman NI (1970) An investigation of methods for the determination of the tensile strength of rock. In: Proceedings of the 2nd congress international society for rock mechanics, Belgrade, vol 3, pp 85–92
Zurück zum Zitat Hondros G (1959) The evaluation of Poisson’s ratio and the modulus of materials of a low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete. Aust J Appl Sci 10(3):243–268 Hondros G (1959) The evaluation of Poisson’s ratio and the modulus of materials of a low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete. Aust J Appl Sci 10(3):243–268
Zurück zum Zitat Jacobsson L (2004) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-04-170, P-04-172, P-04-173, P-04-174, P-04-223, P-04-225, and P-04-226. http://www.skb.se Jacobsson L (2004) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-04-170, P-04-172, P-04-173, P-04-174, P-04-223, P-04-225, and P-04-226. http://​www.​skb.​se
Zurück zum Zitat Jacobsson L (2005) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-05-97, P-05-98, P-05-120, P-05-121, P-05-211, and P-05-212. http://www.skb.se Jacobsson L (2005) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-05-97, P-05-98, P-05-120, P-05-121, P-05-211, and P-05-212. http://​www.​skb.​se
Zurück zum Zitat Jacobsson L (2006) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-06-37, P-06-38, P-06-73, P-06-74, P-06-270, P-06-271, P-06-299, and P-06-300. http://www.skb.se Jacobsson L (2006) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-06-37, P-06-38, P-06-73, P-06-74, P-06-270, P-06-271, P-06-299, and P-06-300. http://​www.​skb.​se
Zurück zum Zitat Jacobsson L (2007) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-07-142, P-07-143, P-07-145, P-07-146, and P-07-207. http://www.skb.se Jacobsson L (2007) Site investigation reports. Swedish nuclear fuel and waste management Co. Technical Reports P-07-142, P-07-143, P-07-145, P-07-146, and P-07-207. http://​www.​skb.​se
Zurück zum Zitat Jaeger JC, Cook NGW (1969) Fundamentals of rock mechanics. Methuen and Co Ltd., London, p 513 Jaeger JC, Cook NGW (1969) Fundamentals of rock mechanics. Methuen and Co Ltd., London, p 513
Zurück zum Zitat Klanphumeesri S (2010) Direct tension testing of rock specimens. Masters of Engineering Thesis, Suranaree University of Technology Klanphumeesri S (2010) Direct tension testing of rock specimens. Masters of Engineering Thesis, Suranaree University of Technology
Zurück zum Zitat Lama RD, Vutukuri VS (1978) Handbook on mechanical properties of rocks—testing techniques and results 3(1). Trans Tech Publications, Clausthal Lama RD, Vutukuri VS (1978) Handbook on mechanical properties of rocks—testing techniques and results 3(1). Trans Tech Publications, Clausthal
Zurück zum Zitat Langford JC (2013) Application of reliability methods to the design of underground structures. PhD Thesis, Queen’s University, Kingston, Ontario, Canada Langford JC (2013) Application of reliability methods to the design of underground structures. PhD Thesis, Queen’s University, Kingston, Ontario, Canada
Zurück zum Zitat Lee MY, Haimson BC (1993) Laboratory study of borehole breakouts in Lac du Bonnet Granite: a case of extensile failure mechanism. Int J Rock Mech Min Sci Geomech Abstr 30(7):1039–1045CrossRef Lee MY, Haimson BC (1993) Laboratory study of borehole breakouts in Lac du Bonnet Granite: a case of extensile failure mechanism. Int J Rock Mech Min Sci Geomech Abstr 30(7):1039–1045CrossRef
Zurück zum Zitat Martin CD (1994) The strength of massive Lac du Bonnet Granite around underground openings. PhD Thesis, University of Manitoba Martin CD (1994) The strength of massive Lac du Bonnet Granite around underground openings. PhD Thesis, University of Manitoba
Zurück zum Zitat Murrell SAF (1963) A criterion for brittle fracture of rocks and concrete under triaxial stress and the effect of pore pressure on the criterion. In: Fairhurst (ed) Rock mechanics. Proceedings of the fifth rock mechanics symposium, University of Minnesota, Oxford, Pergamon, pp 563–577 Murrell SAF (1963) A criterion for brittle fracture of rocks and concrete under triaxial stress and the effect of pore pressure on the criterion. In: Fairhurst (ed) Rock mechanics. Proceedings of the fifth rock mechanics symposium, University of Minnesota, Oxford, Pergamon, pp 563–577
Zurück zum Zitat Myer LR, Kemeny JM, Zheng Z, Suarex R, Ewy RT, Cook NGW (1992) Extensile cracking in porous rock under differential compressive stress. In: Li LY (ed) Micromechanical modeling of quasi-brittle materials behaviour. Applied Mechanics Reviews, 45(8):263–280. doi:10.1115/1.3119757 Myer LR, Kemeny JM, Zheng Z, Suarex R, Ewy RT, Cook NGW (1992) Extensile cracking in porous rock under differential compressive stress. In: Li LY (ed) Micromechanical modeling of quasi-brittle materials behaviour. Applied Mechanics Reviews, 45(8):263–280. doi:10.​1115/​1.​3119757
Zurück zum Zitat Perras MA (2009) Tunnelling in horizontally laminated ground: the influence of lamination thickness on anisotropic behaviour and practical observations from the Niagara Tunnel Project. Masters Thesis, Queen’s University, Kingston, Ontario, Canada Perras MA (2009) Tunnelling in horizontally laminated ground: the influence of lamination thickness on anisotropic behaviour and practical observations from the Niagara Tunnel Project. Masters Thesis, Queen’s University, Kingston, Ontario, Canada
Zurück zum Zitat Perras MA, Langford C, Ghazvinian E, Diederichs MS (2012) Numerical delineation of the excavation damage zones: from rock properties to statistical distribution of the dimensions. In: Proceedings of the Eurock, Stockholm, Sweden Perras MA, Langford C, Ghazvinian E, Diederichs MS (2012) Numerical delineation of the excavation damage zones: from rock properties to statistical distribution of the dimensions. In: Proceedings of the Eurock, Stockholm, Sweden
Zurück zum Zitat Perras MA, Besaw D, Diederich MS (2013) Geological and geotechnical observations from the Niagara Tunnel Project. Submitted to the Bulletin of Engineering Geology and the Environment, BOEG-D-12-00133R1 Perras MA, Besaw D, Diederich MS (2013) Geological and geotechnical observations from the Niagara Tunnel Project. Submitted to the Bulletin of Engineering Geology and the Environment, BOEG-D-12-00133R1
Zurück zum Zitat Perras MA, Ghazvinian E, Amann F, Wannenmacher H, Diederichs MS, (2013b) Back analysis of rock mass behavior of the Quintner Limestone at the Gonzen mine near Sargans, Switzerland. In: The proceedings of Eurock 2013, Wroclaw, Poland Perras MA, Ghazvinian E, Amann F, Wannenmacher H, Diederichs MS, (2013b) Back analysis of rock mass behavior of the Quintner Limestone at the Gonzen mine near Sargans, Switzerland. In: The proceedings of Eurock 2013, Wroclaw, Poland
Zurück zum Zitat Pestman BJ, Van Munster JG (1996) An acoustic emission study of damage development and stress-memory effects in sandstone. Int J Rock Mech Min Sci 33(6):585–593. doi:10.1016/0148-9062(96)00011-3 Pestman BJ, Van Munster JG (1996) An acoustic emission study of damage development and stress-memory effects in sandstone. Int J Rock Mech Min Sci 33(6):585–593. doi:10.​1016/​0148-9062(96)00011-3
Zurück zum Zitat Tavallali A, Vervoort A (2010) Failure of layered sandstone under Brazilian test conditions: effect of micro-scale parameters on macro-scale behaviour. Rock Mech Rock Eng 43(5):641–653. doi:10.1007/s00603-010-0084-7 CrossRef Tavallali A, Vervoort A (2010) Failure of layered sandstone under Brazilian test conditions: effect of micro-scale parameters on macro-scale behaviour. Rock Mech Rock Eng 43(5):641–653. doi:10.​1007/​s00603-010-0084-7 CrossRef
Zurück zum Zitat Vutukuri VS, Lama RD, Saluja SS (1974) Handbook on mechanical properties of rocks. Series on rock and soil mechanics 2(1), Trans Tech Publications, Ohio, USA Vutukuri VS, Lama RD, Saluja SS (1974) Handbook on mechanical properties of rocks. Series on rock and soil mechanics 2(1), Trans Tech Publications, Ohio, USA
Metadaten
Titel
A Review of the Tensile Strength of Rock: Concepts and Testing
verfasst von
Matthew A. Perras
Mark S. Diederichs
Publikationsdatum
01.04.2014
Verlag
Springer International Publishing
Erschienen in
Geotechnical and Geological Engineering / Ausgabe 2/2014
Print ISSN: 0960-3182
Elektronische ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-014-9732-0

Weitere Artikel der Ausgabe 2/2014

Geotechnical and Geological Engineering 2/2014 Zur Ausgabe