Browse > Article
http://dx.doi.org/10.5391/JKIIS.2002.12.3.255

Development of the Fuzzy-Based System for Stress Intensity Factor Analysis  

Lee, Joon--Seong (Division of Electronic & Mechanical Engineering, Kyonggi University, Suwon)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.12, no.3, 2002 , pp. 255-260 More about this Journal
Abstract
This paper describes a fuzzy-based system for analyzing the stress intensity factors (SIFs) of three-dimensional (3D) cracks. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy knowledge processing. Nodes are generated by the bucketing method, and ten-coded quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. The singular elements such that the mid-point nodes near crack front are shifted at the quarter-points, and these are automatically placed along the 3D crack front. The complete finite element(FE) model is generated, and a stress analysis is performed. The SIFs are calculated using the displacement extrapolation method. To demonstrate practical performances of the present system, semi-elliptical surface cracks in a inhomogeneous plate subjected to uniform tension are solved.
Keywords
Fuzzy Knowledge Processing; Finite Element Analysis; Stress Intensity Factor; Surface Crack; Automatic Mesh Generation; Fuzzy Theory; Bucketing Method; Delaunay Triangulation; Singular Element;
Citations & Related Records
연도 인용수 순위
  • Reference
1 W.S. blackburn, T.K. Hellen, Calculation of StressIntensity actors in Three-Dimensions by FiniteElement Methods, Int. J. for Numerical Methodsin Engineering, 11, pp. 211-229, 1977   DOI   ScienceOn
2 W.K. Wilson and D.G. Thompson, On the FiniteElement lethod for Calculating Stress IntensityFactors for Cracked Plates in Bending,Engineering Fracture Mechanics, 3, pp. 97-102,1971   DOI   ScienceOn
3 F.W. Smith, D.R. Sorensen, The Semi-EllipticalSurface Crack - A Solution by the AltematingMethod, Int. J. of Fracture, 12, pp. 45-57, 1973
4 M. Isida, H. Noguchi, An Analysis of3-Dimensiona1 Crack by Body Force Method,Transactions of JSME, 49A, pp. 707-713, 1983.(in Japanese)
5 D.M. Parks, A Stiffness Dehvative Finite ElementTechnique for Determination of Crack Tip StressIntensity Factors, Int. J. of Fracture, pp. 487-502,1974
6 G. Yagawa and T. Nishioka, Finite ElementAnalysis of Stress Intensity Factors for PlaneExtension and Plate Bending Problems, Int. J. ofNumerical Method in Engineering, 14, pp.727-740, 1979   DOI   ScienceOn
7 Joon-Seong Lee, Automated CAE System forThree-Dimensional Complex Geometry, Doctoral Dissertation, Faculty of Engineering, TheUniversity of Tokyo, 1995
8 S.H. Lo, A New Mesh Generation Scheme forArbitrary Planar Domains, Int. J. of NumehcalMethods in Engineehng, 21, pp. 1403-1426, 1985
9 S.W. Sloan, A Fast Algorithm for ConstructingDelaunay Thangulation in the Plane, Advances inEngineehng Software, 9, pp. 34-55, 1987   DOI   ScienceOn
10 T.C. Woo and T. Thomasma, An Algohthm forGenerating Solids Elements n Objects with Holes,Computers & Structures, 18, pp. 342-353, 1984
11 Joon-Seong Lee et al., Automatic MeshGeneration for Three-Dimensional StructuresConsisting of Free-Form Surfaces, Transactionsof the Society of CAD/CAM Engineers, Vol. 1,No. 1, pp. 65-75, 1996
12 R.S. Barsoum, Application of QuadraticIsoparametric Finite Elements in Linear FractureMechanics, Int. J. of Fracture, 10, pp. 603-605,1974   DOI
13 D.M. Tracy, Finite Elements for three-DimensionalElastic Crack Analysis, Nuclear Engineering &Design, 26, pp. 282-290, 1974   DOI   ScienceOn
14 T. Miyoshi, M. Shiratoh, Study on StressIntensity Factors of Closely Located or PartlyOverlapped Twin Surface Cracks, Transactions ofJSME, 50A, pp. 477-482, 1984
15 S.K. Chan, I.S. Tuba and W.K. Wilson, On theFinite Element Method in Linear FractureMechanics, Engineering Fracture Mechanics, 2,pp. 1-17, 1970   DOI   ScienceOn
16 R.S. Barsoum, further Application of QuadraticIsoparamethc Finite Elements to Linear FractureMechanics of Plate Bending and General Shells,Int. J. of Fracture, 11, pp. 167-169, 1975   DOI
17 C.L. Chow and K.J. Lau, On the Finite Element Method for Calculating Stress Intensity Factorswith a Modified Elliptical Model, Int. J. ofFracture, 12, pp. 59-69, 1976
18 T. Nishioka and S.N. Atluri, Analytical Solutionfor Embedded Elliptical Cracks, and FiniteElement Altemating Method for Elliptical SurfaceCracks, Subjected to Arbitrary Loading,Engineering Fracture Mechanics, 17, pp. 247-268,1983   DOI   ScienceOn
19 Y. Murakami, N. Nasser, Interacting DissimilarSemi-Elliptical Surface flaws Under Tension andBending, Engineehng Fracture Mechanics, 13, pp.373-387, 1982
20 I.S. Raju and J.C. Newman, Stress-IntensityFactors for a Wide Range of Semi-EllipticalSurface Cracks in Finite-Thickness Plates,Engineering Fracture Mechanics, 11, pp. 817-829,1979   DOI   ScienceOn
21 T. Asano, Practical Use of Bucketing Techniquesin Computational Geometry, ComputationalGeometry, North-Holland, pp. 153-195, 1985
22 J.C. Newman, I.S. Raju, An EmpiricalStress-Intensity Factor Equation for the SurfaceCrack, Engineering Fracture Mechanics, 15, pp.185-192, 1981   DOI   ScienceOn
23 D.F. Watson, computing the n-DimensionalDelaunay Tessellation with Application toVoronoi Polytopes, The Computer Joumal, 24, pp.162-172, 1981   DOI   ScienceOn
24 R.C. Shah and A.S. Kobayashi, Stress IntensityFactor for an Elliptical Crack Under ArbitrayNormal Loading, Engineering Fracture Mechanics,3, pp. 71-96, 1971   DOI   ScienceOn
25 H. chiyokura, Solid Modeling with Designbase ;Theory and Implementation, Addition- Wesley,1988
26 R.C. Shah and A.S. Kobayashi, Stress IntensityFactors for an Elliptical Crack Approaching theSurface of a Semi-Infinite Solid, Int. J. ofFracture, 9, pp. 133-146, 1973   DOI