Tunnel and Underground Space (터널과지하공간)

Korean Society for Rock Mechanics and Rock Engineering (한국암반공학회)
권호 표지

Numerical analysis of rock behavior with crack model implementation

균열모형을 이용한 암석거동의 수치해석

  • 전석원 (서울대 공과대학 지구환경시스템공학부)
  • Published : 1999.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

Rock behaves in a complex way due to the discontinuities. To describe the complicated failure and deformation behavior of rock, many researches were focused on the development of crack models. This study discusses the validity of the sliding and shear crack model to systematically fractured rock, i.e. coal. The model was also implemented into a numerical analysis. For that, a finite element program was modified in several ways. To describe the transverse isotropy in two-dimensional analysis, the stress-strain relationship was modified for the direction of the axis of symmetry. Also, the changes of the effective elastic moduli according to the crack growth were calculated. A simple example of two-dimensional laboratory uniaxial compression test was analyzed. The results coincided with the observations obtained from the laboratory tests.

암석은 불연속면들에 의해 다양한 방식의 거동을 보인다. 이러한 암석의 복잡한 파괴와 변형거동을 해석하기 위한이전의 많은 연구들은 균열모델의 개발에 중점을 두었다. 본 연구에서는 석탄과 같은 파쇄 암석에 대해 활주균열모형과 전단균열모형의 타당성을 검토하였고 모델을 수치해석에 적용하였다. 수치해석을 수행하기 위해 여러 방식으로 유한 요소 프로그램을 수정하였다. 2차원 해석에서 횡등방성을 설명하기 위하여 대칭축의 방향에 대해 응력-변형률 관계를 수정하였고, 균열성장에 따른 유효탄성계수의 변화를 계산하였다. 2차원 실내 단축압축시험의 가단한 예를 해석하였으며 해석결과는 실내시험에서 구한 결과와 일치하였다.

Keywords

References

  1. Science v.178 Cracks and pores-A closer look Brace, W.F.;Silver, E.;Hadley, K.;Coetze, C.
  2. Rock mechanics for underground mining, (2nd ed.) Brady, B.H.G.;Brown, E.T.
  3. Mechanics of Materials v.4 Damage mechanics in the post-failure regime Costin, L.S.
  4. International Journal of Fracture v.16 no.2 Slightly curved or kinked cracks Cotterell, B.;Rice, J.R.
  5. 터널 및 지하공간 v.8 암석의 변형 및 파괴거동의 해석을 위한 균열모형 개발에 관한 연구 전석원
  6. Proc. Int. Sym., Balkema The micromechanics of deformation and failure in rocks, Assessment and prevention of failure phenomena in rock engineering Kemeny, J.M.
  7. Proc. 2nd Int. Conf. Constitutive Laws for Eng. Mat. v.2 Crack models for the failure of rock under compression Kemeny, J.M.;Cook, N.W.G.
  8. Toughening Mechanisms in Quasi-Brittle Materials Micromechanics of deformation in rocks Kemeny, J.M.;Cook, N.G.W.
  9. Tectonophysics v.100 Microcracks in rocks-A review Kranz, R.L.
  10. Appl. Mech. Review v.45 no.8 Extensile cracking in porous rock under differential compressive stress Myer, L.R.;Kemeny, J.M.;Cook, N.G.W.;Ewy, R.;Suarez, R.;Zheng. Z.
  11. Journal of Geophysical Research v.87 no.B8 Compressioninduced nonplanar crack extension with application to splitting, exfoliation, and rockburst Nemat-Nasser, S.;Horii, H.
  12. The engineering geology of weak rock, Balkema Weak rock materials Oliveira, R.
  13. Acta Metall. v.34 no.3 The failure of brittle porous solids under compressive stress states Sammis, C.G.;Ashby, M.F.
  14. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr v.30 no.7 Micromechnical modeling of tuffaceous rock for application in nuclear waste storage Wang, R.;Kemeny, J.M.
  15. Int. J. Rock Mech. Min. Sci & Geomech. Abstr. v.19 Micromechanics of faulting in Westerly Granite Wong, T-.f.
  16. Mechanics of Materials v.4 Geometric probability approach to the characterization and analysis of microcracking in rocks Wong, T-.f.
  17. Ph.D. Dissertation, University of California, Berkeley Compressive stress-induced microcracks in rocks and applications to seismic anisotropy and borehole stability Zheng, Z.