Journal of the Korean Society of Safety (한국안전학회지)

The Korean Society of Safety (한국안전학회)
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Fatigue Crack Growth Simulation of Arbitrarily Shaped Three Dimensional Cracks Using Finite Element Alternating Method

유한요소 교호법을 이용한 임의 형상의 삼차원 균열의 피로균열 성장 해석

  • Park, Jai-Hak (Department of Safety Engineering, Chungbuk National University) ;
  • Kim, Tae-Soon (Department of Safety Engineering, Chungbuk National University)
  • 박재학 (충북대학교 공과대학 안전공학과) ;
  • 김태순 (충북대학교 공과대학 안전공학과)
  • Published : 2006.02.28
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Abstract

The finite element alternating method is a convenient and efficient method to analyze three-dimensional cracks embedded in an infinite or a finite body because the method has the property that the uncracked body and cracks can be modeled independently. In this paper the method was applied for fatigue crack growth simulation. A surface crack in a cylinder was considered as an initial crack and the crack configurations and stress intensity factors during the crack growth were obtained. In this paper the finite element alternating method proposed by Nikishkov, Park and Atluri was used after modification. In the method, as the required solution for a crack in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear was used. And a crack was modeled as distribution of displacement discontinuities, and the governing equation was formulated as singularity-reduced integral equations.

Keywords

References

  1. T. Nishioka and S. N. Atluri, 'Analytical Solution for Embedded Elliptical Cracks and Finite Element. Alternating Method for Elliptical Surface Cracks, Subjected to Arbitrary Loadings', Engng Frac. Mech., Vol. 17, pp. 247-268, 1983 https://doi.org/10.1016/0013-7944(83)90032-2
  2. C. Y. Liao and S. N. Atluri, 'A Finite Element Alternating Method for Evaluation of Stress Intensity Factors for Part-circular Cracks Subjected to Arbitrary Loading', Com. Methods Appl. Mech. Engng, Vol. 91, pp. 12531-1270, 1991
  3. H. Rajiyah and S. N. Atluri, 'Analysis of Embedded and Surface Elliptical Flaws in Transversely Isotropic Bodies by the Finite Element Alternating Method', J. Appl. Mech., Trans. of ASME, Vol.58, No. 2, pp. 435-443, 1991 https://doi.org/10.1115/1.2897204
  4. 박재학, 김태순, S. N. Atluri, '유한요소 교호법을 이용한 모드 I 하중 하의 삼차원 균열의 해석', 대한기계학회 논문집 (A), 제24권, 제4호, pp. 982-990, 2000
  5. S. C. Forth and W. D. Keat, 'Three-dimensional Nonplanar Fracture Model Using the Surface Integral Method', Int. J. Fracture, Vol. 77, pp. 243-262, 1996 https://doi.org/10.1007/BF00018780
  6. G. P. Nikishkov, J. H. Park and S. N. Atluri, 'SGBEM-FEM Alternating Method for Analyzing 3D Non-planar Cracks and Their Growth in Structural Components', Computer Modeling in Engng & Sci., Vol. 2, No. 3, pp. 401-422, 2001
  7. S. Li and M. E. Mear, 'Singularity-reduced Integral Equations for Displacement Discontinuities in Three Dimensional Linear Elastic Media', Int. J. Fract., Vol. 93, pp. 87-114, 1998 https://doi.org/10.1023/A:1007513307368
  8. A. Frangi, G. Novati, R. Springhetti and M. Rovizzi, 'Fracture Mechanics in 3D by the Symmetric Galerkin Boundary Element Method', VIII Conf. On Numerical Methods in Continuum Mechanics, Liptovsky Jan, Slovak Republik, 2000
  9. P. C. Paris and F. Erdogan, 'A Critical Analysis of Crack Propagation Laws', J. Basic Eng., Vol. 85, pp. 528-534, 1960
  10. J.C. Newman and I.S. Raju, 'Stress Intensity Factors for Internal Surface Cracks in Cylindrical Pressure Vessels', Trans. ASME Ser. J, J. Pressure Vessel Technology, Vol. 102, pp. 342-346, 1980 https://doi.org/10.1115/1.3263343