Stress intensity factors for corner cracks at a hole by a 3-D weight function method with stresses from the finite element method

Fatigue and Fracture of Engineering Materials and Structures

Volumn 20, Issue 9, 1997, Pages 1255-1267

  Zhao, W ^a   Newman Jr , J C ^b   Sutton, M A ^a   Wu, X R ^c   Shivakumar, K N ^d  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

^c BEIJING INSTITUTE OF AERONAUTICAL MATERIALS   (China)

^d NORTH CAROLINA A AND T STATE UNIVERSITY   (United States)

Author keywords

Corner cracks; Stress concentrations; Stress intensity factors; Weight function method

Indexed keywords

CRACK PROPAGATION; FINITE ELEMENT METHOD; FUNCTIONS; STRESS CONCENTRATION; STRUCTURAL LOADS;

WEIGHT FUNCTION METHOD;

STRESS INTENSITY FACTORS;

EID: 0030709578     PISSN: 8756758X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1460-2695.1997.tb01485.x     Document Type: Article

References (47)

1. H. F. Bueckner (1970) A novel principle for the computation of stress intensity factors. ZAMM 50, 529-546.
2. J. R. Rice (1972) Some remarks on elastic crack-tip stress fields. Int. J. Solid Struct. 8, 751-758.
3. X. R. Wu and J. Carlsson (1991) Weight functions and stress intensity factor solutions. Pergamon press.
4. H. F. Bueckner (1973) In Methods of analysis and solution of crack problems (Edited by G. C. Sih), Noordhoff, Leyden, the Netherlands, 239-314.
5. J. R. Rice (1989) Weight function theory for three-dimensional elastic crack analysis. ASTM STP 1020 (Edited by R. P. Wei and R. P. Gangloff ), 29-57.
6. G. P. Nikishkov and V. A. Piminov (1992) Computation of weight functions for three-dimensional cracks by the boundary element method. Comput. Mech. 9, 211-220.
7. D. M. Parks and E. A. Kamenetzky (1979) Weight functions from virtual crack extension. Int. J. Numer. Method Engng 14, 1793-1706.
8. T. L. Sham and Y. Zhou (1989) Computation of three-dimensional weight functions for circular and elliptical cracks. Int. J. Fract. 41, 51-75.
9. C. Y. Liao and S. N. Atluri (1991) An alternating technique for evaluating weight functions for 3-D surface flaws in finite solid bodies. Int. J. Numer. Methods Engng 32, 1339-1361.
10. J. R. Rice (1985) First order variation in elastic fields due to variation in location of a planar crack front. J. Appl. Mech. 52, 571-579.
11. H. F. Bueckner (1987) Weight functions and fundamental fields for penny-shaped and the half plane crack in three-space. Int. J. Solid Struct. 23, 57-93.
12. P. M. Besuner (1976) Residual life estimates for structures with partial thickness cracks. ASTM STP 590, 403-419.
13. J. C. Newman Jr.and I. S. Raju (1983) Stress intensity factor equations for cracks in three- dimensional finite bodies. ASTM STP 791, (Edited by J. C. Lewis and G. Sines), I-238-I-256.
14. J. C. Newman Jr. and I. S. Raju (1986) Stress intensity factor equations for cracks in three-dimensional finite bodies subjected to tension and bending loads. In: Computational Methods in the Mechanics of Fracture (Edited by S. N. Atluri), 312-334.
15. T. A. Cruse and P. M. Besuner (1975) Residual life prediction for surface cracks in complex structural details. J. Aircraft 12, 369-375.
16. C. Mattheck, P. Morawietz and D. Munz (1983) Stress intensity factor at the surface and at the deepest point of a semi-elliptical surface crack in plates under stress gradients. Int. J. Fract. 23, 201-212.
17. R. Perez, S. K. Ray and A. F. Grandt, Jr. (1987) Application of a weight function method to predict the fatigue life of corner cracked holes loaded in bending. Engng Fract. Mech. 28, 283-291.
18. T. Fett (1988) The crack opening displacement field of semi-elliptical surface cracks in tension for weight functions applications. Int. J. Fract. 36, 55-69.
19. V. A. Vainshtok and I. V. Varfolomeyev (1990) Stress intensity factor analysis for part-elliptical cracks in structures. Int. J. Fract. 46, 1-24.
20. W. Zhao, X. R. Wu and M. G. Yan (1989) Weight function method for three dimensional crack problems - I & II. Engng Fract. Mech. 34(3), 593-607, 609-624.
21. W. Zhao and X. R. Wu (1990) Stress intensity factors for corner cracks at a semi-circular notch under stress gradients. Fatigue Fract. Engng Mater. Struct. 13, 347-360.
22. W. Zhao and X. R. Wu (1990) Stress intensity factor evaluation by weight function method for surface crack in edge notch. Theoret. Appl. Fract. Mech. 13, 225-238.
23. W. Zhao, X. R. Wu and M. G. Yan (1991) Stress intensity factors for corner cracks at a hole under remote tension. Acta Mech. Sinica 7, 76-81.
24. W. Zhao (1991) Analysis of uniformly-spaced coplanar embedded elliptical cracks. Engng Fract. Mech. 38, 313-319.
25. W. Zhao (1992) Analyses of four symmetric corner cracks in elastic plates. Fatigue Fract. Engng Mater. Struct. 15, 339-346.
26. W. Zhao (1992) Analyses of infinite pairs of surface cracks in elastic plates. Int. J. Fract. 55, 143-152.
27. J. C. Newman, Jr., X. R. Wu, M. H. Swain, W. Zhao, E. P. Phillips and C. F. Ding (1992) Small crack growth behavior in high strength aluminum alloys - A NASA/CAE Cooperative Program, in Proc. 18th Congress of the International Council of the Aeronautical Sciences, Beijing, China, ICAS-92-5.4.3.
28. I. S. Raju and J. C. Newman, Jr. (1979) Stress intensity factors for two symmetric corner cracks. ASTM STP 677 (Edited by C. W. Smith), 411-430.
29. J. C. Newman, Jr. and I. S. Raju (1979) Analyses of surface cracks in finite plates under tension and bending loads. NASA TP-1578.
30. I. S. Raju and J. C. Newman, Jr. (1988) Stress intensity factors for corner cracks in rectangular bars. ASTM STP 969 (Edited by T. A. Cruse), 43-55.
31. P. W. Tan, I. S. Raju, K. N. Shivakumar and J. C. Newman, Jr. (1990) Evaluation of finite element models and stress intensity factors for surface cracks emanating from stress concentrations. ASTM STP 1060 (Edited by W. G. Reuter, J. H. Underwood and J. C. Newman, Jr.), 34-48.
32. K. N. Shivakumar and J. C. Newman, Jr. (1991) Stress intensity factors for large aspect ratio surface and corner cracks at a semi-circular notch in a tension specimen. Engng Fract. Mech. 38, 467-473.
33. P. W. Tan, C. A. Bigelow and J. C. Newman, Jr. (1992) Three-dimensional finite-element analyses of corner cracks at stress concentrations. In: Durability of Metal Aircraft Structures (Edited by S. N. Atluri, C. E. Harris, A. Hoggard, N. Miller and S. G. Sampath), 187-199.
34. E. S. Folias (1988) Some remarks on three-dimensional fracture. ASTM STP 969 (Edited by T. A. Cruse), 56-72.
35. K. N. Shivakumar and J. C. Newman, Jr. (1992) Stress concentrations for straight-shank and countersunk holes in plates subjected to tension, bending, and pin loading. NASA-TP-3193.
36. J. L. Hechmer and J. M. Bloom (1977) Determination of stress intensity factors for the corner-cracked hole using the isoparametric singularity element. Int. J Fract. 13, 732-735.
37. A. F. Grandt, Jr. and T. E. Kullgren (1981) Stress intensity factors for corner cracked holes under general loading conditions. J. Engng Mater. Technol. 103, 171-176.
38. T. Nishioka and S. N. Atluri (1982) Integrity analysis of surfaced-flawed aircraft attachment lugs: a new, inexpensive, 3-D alternating method. Paper 82-0742, AIAA/ASME/ASCE/AHS 23rd Structures, Structural Dynamics and Materials Conference, May 10-12, 287-300.
39. W. T. Fujimoto (1976) Determination of crack growth and fracture toughness parameters for surface flaws emanating from fastener holes, in Proceedings, AIAA/ASME/SAE 17th Structures, Structural Dynamics, and Material Conference, King of Prussia, Pa., 522-531.
40. H. D. Dill and C. R. Saff (1978) Environmental-load interaction effects on crack growth. AFFDL-TR-78-137.
41. C. R. Saff and K. B. Sanger (1984) Part-through flaw stress intensity factors developed by a slice synthesis technique. ASTM STP 833 (Edited by R. J. Sanford), 24-43.
42. X. R. Wu (1984) Approximate weight functions for center and edge cracks in finite bodies. Engng Fract. Mech. 20, 35-49.
43. X. R. Wu (1985) Weight functions and stress intensity factors for radial crack(s) emanating from a circular hole in an infinite sheet. Report 63, TRITA-HEL-0063 ISSN 0281-1502, The Royal Institute of Technology, S-10044 Stockholm, Sweden.
44. G. R. Irwin (1962) Crack extension force for a part-through crack in a plate. J. Appl. Mech. 29, 651-654.
45. W. Zhao, J. C. Newman, Jr., M. A. Sutton, X. R. Wu and K. N. Shivakumar (1995) Analysis of corner cracks at hole by a 3-D weight function method with stresses from finite element analysis. NASA TM-110144.
46. D. P. Rooke and J. Tweed (1980) Stress intensity factors for a crack at the edge of a loaded hole. Int. J. Engng Sci. 18, 109-121.
47. S. P. Timoshenko and J. N. Goodier (1970) Theory of Elasticity, McGraw-Hill.