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Numerical simulation of the crack propagation behavior in 3D elastic body

  • Published : 1994.09.25

Abstract

The purpose of this investigation is to propose a numerical simulation method of the crack propagation behavior in 3-dimensionl elastic body. The simulation method is based on the displacement-type finite element method, and the linear fracture theory is introduced. The results from the proposed method are compared with those from the structural experiments, and the good coincidences between them are shown in this paper. At the same time, 2-dimensional analysis is also done, and the results are compared with those obtained from 3-dimensional analysis and the structural experiments.

Keywords

References

  1. Bathe, K.J. & Wilson, E.L. (1976), Numerical methods in finite element analysis, Prentice-Hall.
  2. Erdogan, F. & Sih, G.C. (1963), "On the crack extension in plates under plane loading and transverse shear", Trans, ASME, December, 519-527.
  3. Gibbs, N.E., Poole, W.G. & Stockmeyer, P.K. (1976), "Algorithm for reducing the bandwidth and profile of sparse matrix?, SIAM J. of Numerical Analysis, 13, 236-263. https://doi.org/10.1137/0713023
  4. Gol'dstein, R.V. & Salganik, R.L. (1974), "Brittle fracture of solids with arbitrary cracks", Int. J. of Fracture, 10, 507-523. https://doi.org/10.1007/BF00155254
  5. Ingraffea, A.R. (1983), "Numerical modelling of fracture propagation", Rock Fracture Mechanics (ed. Rothmaith, H.P., Springer, Berlin, 151-208.
  6. Miyaji, A. & Takahashi, K. (1985), "A study on the mechanics of the rock cutting using wedge", Technical Report of Japan Development and Construction Co., Ltd., 8, 65-72. (In Japanese)
  7. Shiraishi, N., Ohnishi, Y. & Taniguchi, T. (1988), Continuum mechanics, Morikita Publishing Co., Tokyo, 95-127. (In Japanese)
  8. Sih, G.C. (1972), "Introductory chapter, A special theory of crack propagation", Mechanics of fracture, 1, 21- 45.
  9. Taniguchi, T. & Ohta, C. (1991a), "Application of the Delaunay triangulation for arbitrary 2D domain closed by a set of straight lines", Proc. JSCE, 432 (I-16), 69-78. (In Japanese)
  10. Taniguchi, T. & Ohta, C. (1991b), "Delaunay-based grid generation for 3D body with complex boundary geometry", 3rd Int. Conf. on Numerical Grid Generation in Computational Fluid Mechanics and Related Field (eds. Arcilla, A.S. et al.). 533-543.
  11. Taniguchi, T., Sanada, K., Matsumoto, H. & Moriwaki, S. (1987), "Some remarks on finite element modelling on crack-tip area", Memoirs of the School of Engineering, Okayama University, 21 (2), 31-46.
  12. Wu, C.H. (1978), "Maximum-energy-release rate criterion applied to a tension-compression specimen with crack", Journal of Elasticity, 8, 235-257. https://doi.org/10.1007/BF00130464