Automated System for Analyzing Stress Intensity Factors of Three-Dimensional Cracks: Its Application to Analyses of Two Dissimilar Semi-Elliptical Surface Cracks in Plate

This paper describes a new automated system for analyzing the stress intensity factors (SIFs) of three-dimensional cracks. A geometry model containing one or several three-dimensional cracks is defined using a commercial CAD system, DESIGNBASE. Several local distributions of node density are chosen from the database of the present system, 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-noded quadratic tetrahedral solid elements are generated by the Delaunay method. A user imposes material properties and boundary conditions onto parts of the geometry model such as loops and edges by clicking them with a mouse and by inputting values. For accurate analyses of the stress intensity factors, finer elements are generated in the vicinity of crack tips, thanks to the fuzzy knowledge processing. The singular elements such that the midpoint nodes near crack front are shifted at the quarter-points are automatically placed along the three-dimensional crack front. The complete finite element model generated is given to a commercial finite element code, MARC, and a stress analysis is performed. The stress intensity factors are calculated using the displacement extrapolation method. To demonstrate practical performances of themore » present system, two dissimilar semi-elliptical surface cracks in a plate subjected to uniform tension are solved, and their interaction effects are discussed in detail. It is shown from the results that ASME Boiler and Pressure Vessel Code, Section 11, Appendix A gives a conservative stress intensity factor for two identical adjacent surface cracks and for two dissimilar adjacent surface cracks.« less

[1]  Sia Nemat-Nasser,et al.  Interacting dissimilar semi-elliptical surface flaws under tension and bending , 1982 .

[2]  R. Barsoum,et al.  Further application of quadratic isoparametric finite elements to linear fracture mechanics of plate bending and general shells , 1975 .

[3]  Miloš Zlámal,et al.  On the finite element method , 1968 .

[4]  W. K. Wilson,et al.  On the finite element method for calculating stress intensity factors for cracked plates in bending , 1971 .

[5]  D. M. Parks A stiffness derivative finite element technique for determination of crack tip stress intensity factors , 1974 .

[6]  F. W. Smith,et al.  The semi-elliptical surface crack—A solution by the alternating method , 1976, International Journal of Fracture.

[7]  K. J. Lau,et al.  On the finite element method for calculating stress intensity factors with a modified elliptical model , 1976, International Journal of Fracture.

[8]  James C. Newman,et al.  An empirical stress-intensity factor equation for the surface crack , 1981 .

[9]  James C. Newman,et al.  Stress-intensity factors for a wide range of semi-elliptical surface cracks in finite-thickness plates , 1979 .

[10]  D. M. Tracey Finite elements for three-dimensional elastic crack analysis , 1974 .

[11]  Genki Yagawa,et al.  Finite element analysis of stress intensity factors for plane extension and plate bending problems , 1979 .

[12]  P. C. Paris,et al.  Stress Analysis of Cracks , 1965 .

[13]  R. Barsoum Application of quadratic isoparametric finite elements in linear fracture mechanics , 1974 .

[14]  Genki Yagawa,et al.  Automatic mesh generation of complex geometries based on fuzzy knowledge processing and computational geometry , 1995 .

[15]  Arthur G. Holms,et al.  Stress Intensity Magnification for Deep Surface Cracks in Sheets and Plates. , 1970 .

[16]  J. Cavendish Automatic triangulation of arbitrary planar domains for the finite element method , 1974 .

[17]  誠 石田,et al.  On the Analysis of Three-Dimensional Crack Problems by the Body Force Method , 1983 .

[18]  D. F. Watson Computing the n-Dimensional Delaunay Tesselation with Application to Voronoi Polytopes , 1981, Comput. J..

[19]  S. Chan,et al.  On the Finite Element Method in Linear Fracture Mechanics , 1970 .

[20]  S. Lo A NEW MESH GENERATION SCHEME FOR ARBITRARY PLANAR DOMAINS , 1985 .

[21]  Genki Yagawa,et al.  Automatic two- and three-dimensional mesh generation based on fuzzy knowledge processing , 1990 .

[22]  Hiroshi Noguchi,et al.  Tension and bending of finite thickness plates with a semi-elliptical surface crack , 1984 .

[23]  Tony C. Woo,et al.  AN ALGORITHM FOR GENERATING SOLID ELEMENTS IN OBJECTS WITH HOLES , 1984 .

[24]  F. W. Smith,et al.  Mixed mode stress intensity factors for semielliptical surface cracks , 1974 .

[25]  T. K. Hellen,et al.  Calculation of stress intensity factors in three dimensions by finite element methods , 1977 .

[26]  A. S. Kobayashi,et al.  Stress intensity factors for an elliptical crack approaching the surface of a semi-infinite solid , 1973 .

[27]  S. Sloan A fast algorithm for constructing Delaunay triangulations in the plane , 1987 .

[28]  M. Iri,et al.  Practical use of Bucketing Techniques in Computational Geometry , 1985 .

[29]  Hiroshi Noguchi,et al.  Tension of a finite-thickness plate with a pair of semi-elliptical surface cracks , 1990 .

[30]  Albert S. Kobayashi,et al.  Stress intensity factor for an elliptical crack under arbitrary normal loading , 1971 .