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Micro/macro properties of geomaterials: a homogenization method for viscoelastic problem

  • Ichikawa, Yasuaki (Department of Geotechnical and Environmental Engineering Nagoya University) ;
  • Wang, Jianguo (Department of Civil Engineering, National University of Singapore) ;
  • Jeong, Gyo-Cheol (Department of Geology, Andong National University)
  • Published : 1996.11.25

Abstract

Geomaterials such as soil and rock are composed of discrete elements of microstructures with different grains and microcracks. The studies of these microstructures are of increasing interest in geophysics and geotechnical engineering relating to underground space development We first show experimental results undertaken for direct observation of microcrack initiation and propagation by using a newly developed experimental system, and next a homogenization method for treating a viscoelastic behavior of a polycrystalline rock.

Keywords

References

  1. Ahrens, T.J. and Rubin, A.M. (1993), "Impact-induced tensional failure in rock", J. Geophys. Res., 98, 1185-1203. https://doi.org/10.1029/92JE02679
  2. Birch, F. (1961), "The velocity of compressional waves in rocks to 10 kilobars, Part 2", J. Geophys. Res., 66, 2199-2224. https://doi.org/10.1029/JZ066i007p02199
  3. Bombolakis, E.G. (1973), "Study of the brittle fracture process under uniaxial compression", Tectonophysics, 18, 231-248. https://doi.org/10.1016/0040-1951(73)90048-6
  4. Kern, H., and Wenk, H.-R. (1985), "Anisotropy in rocks and the geological significance", in Preferred Orientation in Deformed Metals and Rocks: An Introduction to Modern Texture Analysis, (ed. H.-R. Wenk), Academic Pr., London, 537-555.
  5. Kranz, R.L. (1979a), "Crack growth and development during creep of Barre granite", Int. J. Rock. Mech. Min. Sci. Geomech. Abstr., 16, 23-35.
  6. Kranz, R.L. (1979b), "Crack-crack and crack-pore interactions in stressed granite", Int. J. Rock. Mech. Min. Sci. Geomech. Abstr., 16, 37-47.
  7. Nur, A. and Simmons, G. (1970), "The origin of small cracks in igneous rocks", Int. J. Rock. Mech. Min. Sci., 20, 307-314.
  8. Olsson, W.A. (1974), "Grain size dependence of yield stress in marble", J. Geophys. Res., 79, 4859-4862. https://doi.org/10.1029/JB079i032p04859
  9. Sanchez-Palencia, E. (1980), Non-homogeneous media and vibration theory, Springer-Verlag, Paris.
  10. Schapery, R.A. (1961), "Approximate method of transform inversion for viscoelatic stress analysis", Proc. 4th U.S. Nat. Cong. Applied Mech., 1075-1085.
  11. Skinner, J.B. (1966), "Thermal expanssion", in Handbook of Physical Constants, ed. S.P. Clark Mem. Geol. Soc. Am., 75.
  12. Wong, T.-F. (1990), "Effect of grain size on brittle and semibrittle strength: Implications for micromechanical modeling of failure in a compression", J. Geophys. Res., 95, 10907-10920. https://doi.org/10.1029/JB095iB07p10907
  13. Yukutake, H. (1989), "Fracturing process of granite inferred from measurements of spatial and temporal variations in velocity during triaxial deformations", J. Geophys. Res. 94, 15639-15651. https://doi.org/10.1029/JB094iB11p15639

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