Analysis of Three Dimensional Crack Growth by Using the Symmetric Galerkin Boundary Element Method

  • Kim, Tae-Soon (Department of Safety Engineering, Chungbuk National University) ;
  • Park, Jai-Hak (Nuclear Laboratory, Korea Electric Power Research Institute)
  • 발행 : 2003.06.01

초록

In order to analyze general three dimensional cracks in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear is used. A crack is modelled as distribution of displacement discontinuities, and the governing equation is formulated as singularity-reduced integral equations. With the proposed method several example problems for three dimensional cracks in an infinite solid, as well as their growth under fatigue, are solved and the accuracy and efficiency of the method are demonstrated.

키워드

참고문헌

  1. Atluri, S. N., Structural Integrity and Durability, Tech Science Press, Forsy, 1997
  2. Nikishkov, G. P. and Atluri, S. N., Calculation of fracture mechanics parameters for an arbitrary threedimensional crack by the 'equivalent domain integral' method. Int. J. Numer Meth. Engng, Vol. 24, pp. 851-867, 1987
  3. Shivakumar, K. N. and Raju, I. S., An Equivalent Domain Integral Method for Three-dimensional Mixed-mode Fracture Problems. Eng. Fract. Mech., Vol. 42, pp. 935-959, 1992 https://doi.org/10.1016/0013-7944(92)90134-Z
  4. Keat, W. D., Annigeri, B. S. and Cleary, M. P., Surface Integral and Finite Element Hybrid Method for Twoand Three-dimensional Fracture Mechanics Analysis. Int. J. Fracture, Vol. 36, pp. 35-53, 1988
  5. Li, S. and Mear, M. E., Singularity-reduced Integral Equations for Displacement Discontinuities in Threedimensional Linear Elastic Media, Int. J. Fract., Vol. 93, pp. 87-114, 1998
  6. Li, S., Mear, M.E. and Xiao, L., Symmetric Weakform Integral Equation Method for Three-dimensional Fracture Analysis, Comput. Meth. Appl. Mech. Engng, Vol. 151, pp. 435-459. 1998
  7. Xu, G. and Ortiz, M., A Variational Boundary Integral Method for the Analysis of 3-D Cracks of Arbitrary Geometry Modelled as Continuous Distribution of Dislocation Loops. Int. J. Numer. Meth. Eng., Vol. 36, pp. 3675-3701, 1993 https://doi.org/10.1002/nme.1620362107
  8. Park, J. H., Kim, T. S. and Atluri, S. N., Analysis of Three Dimensional Cracks Subjected to the Mode I Loading by Using FEAM, Trans. of KSME (A), Vol. 24, No.4, pp. 982-990, 2000
  9. Nikishkov, G. P., Park, J. H and Atluri, S. N., SGBEMFEM Alternating Method for Analyzing 3D Non-planner Cracks and Their Growth in Structural Components, Computer Modeling in Engineering and Science, Vo12, No.3, pp. 401-422, 2001
  10. Sneddon, I. N., The Distribution of Stress in the Neighborhood of a Crack in an Elastic Solid. Proceedings of the Royal Society of London, Ser A 187, pp. 229-260, 1946
  11. Kassir, M. K. and Sib, G. C., Three-dimensional Stress Distribution around an Elliptical Crack under Arbitrary Loading. Journal ofAppl. Meeh., vol. 33, pp. 601-611, 1966
  12. Irwin, G. R., Crack Extension Force for a Part-Through Crack in a Plate, Trans. ASME, Ser. E, J. Appl. Meeh., Vol. 29, pp.651-654, 1962 https://doi.org/10.1115/1.3640649
  13. Murakami, Y. and Nemat-Nasser, S., Growth and Stability of Interacting Surface Flaws of Arbitrarily Shape, Engng Frae. Meeh., Vol. 17, No.3, pp.193-210, 1983 https://doi.org/10.1016/0013-7944(83)90027-9
  14. Maddox, S. J., Fatigue strength of Welded Structures, Abington, 1991