Microstructural Effects on Fracture Scaling in Concrete, Rock and Ice

  • Jan G. M. van Mier
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 94)


Concrete, rock and ice are brittle disordered materials. Materials belonging to either of these classes display small-scale heterogeneity at the level of the material micro- and/or meso-structure, but also a large-scale heterogeneity at the level of the structure in which the material appears. The interplay between crack growth at the small-scale and large-scale heterogeneity leads to distinct size/scale effects in fracture. The determination of the two transition scales at which the macro-scale heterogeneity takes over from the micro-scale heterogeneity and where the macro-scale heterogeneity loses its importance is crucial for an understanding of size/scale effects. Both transitions are important to decide where continuum models could be applied to come to predictive extrapolation from laboratory scale experiments. Furthermore such knowledge is essential to design a reliable standard test for the determination of fracture parameters. Issues related to fracture of geo-materials are debated in the paper for mode I fracture only.


Fracture Energy Crack Opening Displacement Transition Scale Wing Crack Crack Arrest 
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  1. Bisschop, J. and Van Mier, J.G.M., 1999. Shrinkage micro-cracking in young mortar by FLM and ESEM. HERON 44: 245–255.Google Scholar
  2. Currier, J.H. and Schulson, E.M., 1982. The tensile strength of ice as a function of grain size. Acta Metall 30: 1511–1514.CrossRefGoogle Scholar
  3. Dempsey, J.P., 1991. The Fracture Toughness of Ice. In Proceedings IUTAM-IAHR Symposium on Ice-Structure Interaction, pp. 109–145. Eds. S. Jones, R.F. McKenna, J. Tillotson and I. Jordaan. Springer Verlag, Berlin.CrossRefGoogle Scholar
  4. Dempsey, J. P., DeFranco, S.J., Adamson, R.M. and Mulmule, S.V., 1999. Scale effects on the in-situ tensile strength and fracture of ice. Part I: Large grained freshwater ice at Spray Lakes Reservoir, Alberta. Int. Journal of Fracture 95:325–345.CrossRefGoogle Scholar
  5. Dempsey, J.P., Adamson, R.M. and Mulmule, S.V., 1999. Scale effects on the in-situ tensile strength and fracture of ice. Part II: First-year sea ice at Resolute, N.W.T. Int. Journal of Fracture 95: 347–366.CrossRefGoogle Scholar
  6. Dyskin, A., 1998. Stress fluctuation mechanism of mesocrack growth, dilatancy and failure of heterogeneous materials in uniaxial compression. HERON 43: 137–158.Google Scholar
  7. Dyskin, A. Van Vliet, M.R.A. and Van Mier J.G.M., 2001. Size effect in tensile strength caused by stress fluctuations. Int. Journal of Fracture (in press).Google Scholar
  8. Elfgren, L. ed., 1989. Fracture Mechanics of Concrete Structures. Chapter 19, Chapman & Hall, London/New York.Google Scholar
  9. Ferro, G., 1994. Effeti di Scala Sulla Resistenza a Trazione dei Materiali. PhD thesis, Politecnico di Torino.Google Scholar
  10. Herrmann, H., Hansen, A. and Roux, S., 1989. Fracture of disordered elastic lattices in two dimensions. Physical Review B 39(1): 637–648.ADSCrossRefGoogle Scholar
  11. Hillerborg, A., Modeer, M. and Petersson, P.-E., 1976. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement & Concrete Research 6: 773–782.CrossRefGoogle Scholar
  12. Kreijger, P.C., 1984. The skin of concrete: composition and properties. Materials & Structures (RILEM) 17 (100): 275–281.Google Scholar
  13. Linsbauer, H.N. and Tschegg, E., 1986. Fracture energy determination of concrete with cube-shaped specimens. Zement und Beton 31: 38–43.Google Scholar
  14. Ouchterlony, F., 1989. Fracture toughness testing of rock with core based specimens, the development of an ISRM standard. In Fracture Toughness and Fracture Energy — Test Methods for Concrete and Rock, pp. 231–251. Eds. H. Mihashi, H. Takahashi and F.H. Wittmann. Balkema, Rotterdam.Google Scholar
  15. RILEM TC-50FMC Test recommendation, 1985. Determination of the fracture energy of mortar and concrete by means of three-point-bend tests on notched beams. Materials & Structures (RILEM) 18(106): 285–290.Google Scholar
  16. Schlangen, E. and Van Mier, J.G.M., 1992. Experimental and numerical analysis of the micro-mechanisms of fracture of cement-based composites. Cement & Concrete Composites 14 (2): 105–118.CrossRefGoogle Scholar
  17. Schulson, E.M. and Gratz, E.T., 1999. The brittle compressive failure of orthotropic ice under triaxial loading. Acta Mater. 47(3): 745–755.CrossRefGoogle Scholar
  18. Steinbrech, R.W., Dickerson, R.M. and Kleist, G., 1991. Characterization of the fracture behavior of ceramics through analysis of crack propagation studies. In Toughening Mechanisms in Quasi-Brittle Materials, pp. 287–311. Ed. S.P. Shah. Kluwer Academic Publishers, Dordrecht.CrossRefGoogle Scholar
  19. Van Mier, J.G.M., 1997. Fracture Processes of Concrete. CRC Press, Boca Raton, FL.Google Scholar
  20. Van Mier, J.G.M., 2000. Measurement of damage parameters of brittle disordered media like concrete and rock. In Damage and Fracture of Disordered Materials. Eds. D. Krajcinovic and J.G.M. van Mier. CISM Courses and Lectures No. 410. Springer Verlag, Wien/New York, 135–178.Google Scholar
  21. Van Mier, J.G.M. and Shi, C., 2001 Stability in uniaxial tensile fracture tests on sandstone and mortar. Int. Journal of Solids and Structures (submitted).Google Scholar
  22. Van Vliet, M.R.A., 2000. Size Effect in Tensile Fracture of Concrete and Rock. PhD thesis, Delft University of Technology.Google Scholar
  23. Van Vliet, M.R.A. and Van Mier, J.G.M., 1999. Effect of strain gradients on the size effect of concrete in uniaxial tension. Int. Journal of Fracture 95: 195–219.CrossRefGoogle Scholar
  24. Van Vliet M.R.A. and Van Mier J.G.M, 2000. Experimental investigation of size effect in concrete and sandstone under uniaxial tension, Engineering Fracture Mechanics 65: 165–188.CrossRefGoogle Scholar
  25. Weeks, W.F. and Assur, A., 1972. Fracture of lake and sea ice. In Fracture — An Advanced Treatise (Volume VII) Fracture of Nonmetals and Composites, pp. 879–978. Ed. H. Liebowitz. Academic Press, New York and London.Google Scholar

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© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Jan G. M. van Mier
    • 1
  1. 1.Faculty of Civil Engineering and GeosciencesDelft University of TechnologyDelftThe Netherlands

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