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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)
Publication Information
International Journal of Safety / v.2, no.1, 2003 , pp. 17-22 More about this Journal
Abstract
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.
Keywords
galerkin method; stress intensity factor; three dimensional crack; boundary element method;
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1 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
2 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
3 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   DOI
4 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   DOI   ScienceOn
5 Maddox, S. J., Fatigue strength of Welded Structures, Abington, 1991
6 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   DOI   ScienceOn
7 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   DOI   ScienceOn
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 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
10 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
11 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
12 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
13 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
14 Atluri, S. N., Structural Integrity and Durability, Tech Science Press, Forsy, 1997