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Experimental study of the cracking behavior of specimens containing inclusions (under uniaxial compression)

International Journal of Fracture volume 164, pages 83–102 (2010)Cite this article

Abstract

This paper presents the results of an experimental investigation on the cracking behavior of brittle heterogeneous materials. Unconfined, uniaxial compression tests were conducted on prismatic gypsum specimens containing either one, or two, inclusions. These inclusions were of different strengths, stiffnesses shapes, and sizes. Emphasis was placed on crack coalescence processes associated with specimens containing an inclusion pair, as this was the primary objective of the research. Some observations reported in this study compare well with those of other researchers as the overall cracking sequences are similar. On the other hand, the amount of debonding observed in this study at the inclusion interface is significantly less than what was previously observed. Moreover, the extent of shear crack growth at an inclusion boundary increased substantially in specimens containing two inclusions, compared to those with single inclusions.

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References

  • Aulia TB (2000) Strain localization and fracture energy of high-strength concrete under uniaxial compression. LACER 5: 221–240

    Google Scholar 

  • Baecher GB, Einstein HH (1981) Size effect in rock testing. Geophys Res Lett 8(7): 671–674

    Article  ADS  Google Scholar 

  • Bienawski ZT (1967) Mechanisms of brittle fracture of rock, part II—experimental studies. Int J Rock Mech Min Sci 4: 407–423

    Article  Google Scholar 

  • Bobet A, Einstein HH (1998) Fracture coalescence in rock-type materials under uniaxial and biaxial compression. Int J Rock Mech Min Sci 35(7): 863–888

    Article  Google Scholar 

  • Bombolakis EG (1963) Photoelastic stress analysis of crack propagation within a compressive stress field. Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, 106 p

  • Brace WF, Bombolakis EG (1963) A note on brittle crack growth in compression. J Geophys Res 68(12): 3709–3713

    Article  ADS  Google Scholar 

  • Eidelman A, Reches Z (1992) Fractured pebbles—a new stress indicator. Geology 20: 307–310

    Article  ADS  Google Scholar 

  • Goodier JN (1933) Concentration of stress around spherical and cylindrical inclusions and flaws. J Appl Mech 1: 39–44

    Google Scholar 

  • Griffith AA (1920) The phenomenon of rupture and flow in solids. Phil Trans A 221: 163–198

    Article  ADS  Google Scholar 

  • Hansen TC (1958) Creep of concrete. Swed Cem Conc Res Inst 33: 48

    Google Scholar 

  • Hoek E, Bieniawski ZT (1965) Brittle fracture propagation in rock under compression. Int J Frac Mech 1: 137–155

    CAS  Google Scholar 

  • Horii H, Nemat-Nasser S (1985) Brittle failure in compression: splitting, faulting, and brittle-ductile transition. Phil Trans A319: 337–374

    ADS  Google Scholar 

  • Inglis CE (1913) Stresses in a plate due to the presence of cracks and sharp corners. Inst Naval Arch 55: 219–230

    Google Scholar 

  • Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J of App Mech 24: 361–364

    Google Scholar 

  • Kirsch G (1898) Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre. Zeitschrift des Vereines Deutscher Ingenieure 42: 797–802

    Google Scholar 

  • Ko TY, Einstein HH, Kemeny J (2006) Crack coalescence in brittle material under cyclic loading. In: Proceedings of 41st US symposium on rock mechanics (USRMS). Goldsen, Colorado, ARMA/USRMS 06-930

  • Kupfer H, Hilsdorf HK, Rusch H (1969) Behavior of concrete under biaxial stresses. ACI J Proc 66(8): 656–666

    Google Scholar 

  • Lo TY, Cui HZ (2004) Effect of porous lightweight aggregate on strength of concrete. Mat Lett 58: 916–919

    Article  CAS  Google Scholar 

  • Maji AK, Shah SP (1989) Application of acoustic emission and laser holography to study microfracture in concrete. In: Lew HS (eds) Nondestructive testing, ACI SP-112. American Concrete Institute, Detroit, MI, pp 83–109

    Google Scholar 

  • Maji AK, Shah SP (1990) Mixed mode fracture in compression. In: Elfgren L, Shah SP (eds) Analysis of concrete structures by fracture mechanics. Chapman and Hall, New York, pp 55–68

    Google Scholar 

  • Maji AK, Tasdemir MA, Shah SP (1991) Mixed mode crack propagation in quasi brittle material. Eng Frac Mech 38(2/3): 1058–1107

    Google Scholar 

  • Mitsui K, Li Z, Lange DA, Shah SP (1994) Relationship between microstructure and mechanical properties of the paste-aggregate interface. ACI Mat J 91(1): 30–39

    CAS  Google Scholar 

  • Nelson RA (1968) Modelling a jointed rock mass. MIT, M.Sc. thesis

  • Nesetova V, Lajtai EZ (1973) Fracture from compressive stress concentrations around elastic flaws. Int J Rock Mech Min Sci 10: 265–284

    Article  Google Scholar 

  • Neville AM (1997) Aggregate bond and modulus of elasticity of concrete. ACI Mat J 94(1): 71–74

    CAS  Google Scholar 

  • Reyes O, Einstein HH (1991) Failure mechanism of fractured rock—a fracture coalescence model. In: Wittke W (ed) Proceedings of 7th international congress of rock mechanics. Aachen, Germany, pp 333–340

  • Shen B, Stephansson O, Einstein HH, Ghahreman B (1995) Coalescence of fractures under shear stress experiments. J Geophys Res 100(6): 5975–5990

    Article  ADS  Google Scholar 

  • Tasdemir MA, Maji AK, Shah SP (1989) Crack propagation in concrete under compression. J Eng Mech 116(5): 1058–1076

    Article  Google Scholar 

  • Taylor MA, Broms BB (1964) Shear bond strength between coarse aggregate and cement paste or mortar. Proc ACI J 61(8): 937–957

    Google Scholar 

  • Wong LNY, Einstein HH (2009) Crack coalescence in molded gypsum and Carrara marble: part 2—microscopic observations and interpretation. Rock Mech and Rock Eng 42: 475–511

    Article  ADS  Google Scholar 

  • Wong LNY, Einstein HH (2009) Using high speed video imaging in the study of cracking processes in rock. Geo Test J 32(2): 164–180

    Google Scholar 

  • Zaitsev YB, Wittmann FH (1981) Simulation of crack propagation and failure of concrete. Mat Struc 14(83): 357–365

    Google Scholar 

  • Zhang MH, Gjørv OE (1990) Microstructure of the interfacial zone between lightweight aggregate and cement paste. Cem Conc Res 20(4): 610–618

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. GeoDesign, Inc., 984 Southford Road, Middlebury, CT, 06762, USA

    Raymond P. Janeiro

  2. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Room 1-342, Cambridge, MA, 02139, USA

    Herbert H. Einstein

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  1. Raymond P. Janeiro
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  2. Herbert H. Einstein
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Correspondence to Herbert H. Einstein.

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Janeiro, R.P., Einstein, H.H. Experimental study of the cracking behavior of specimens containing inclusions (under uniaxial compression). Int J Fract 164, 83–102 (2010). https://doi.org/10.1007/s10704-010-9457-x

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  • DOI: https://doi.org/10.1007/s10704-010-9457-x

Keywords

  • Inclusions
  • Uniaxial compression
  • High speed camera
  • Debonding
  • Tensile cracks
  • Shear cracks