Weight functions and stress intensity factors for corner quarter-elliptical crack in finite thickness plate subjected to in-plane loading

Engineering Fracture Mechanics

Volumn 60, Issue 2, 1998, Pages 221-238

  Kiciak, A ^a,b   Glinka, G ^a   Eman, M ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

^b YOKOHAMA NATIONAL UNIVERSITY   (Japan)

Author keywords

Corner quarter elliptical crack; Stress intensity factor; Weight function

Indexed keywords

CRACK PROPAGATION; FINITE ELEMENT METHOD; LOAD TESTING; PLATES (STRUCTURAL COMPONENTS); STRESS CONCENTRATION; STRESS INTENSITY FACTORS;

IN-PLANE LOADING; WEIGHT FUNCTIONS;

FRACTURE MECHANICS;

EID: 0032058386     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(98)00006-X     Document Type: Article

References (27)

1. Gran, R. J.. Orazio. F. D.. Paris, P. C., Irwin, G. R. and Hertzberg, R. H., Investigation und analysis development of curly life structural failures. AFFL-TR-70-149, Air Force Laboratory, Wright-Paterson Air Force Base, Ohio, 1971.
2. McDermott, M. E. and Stephens, R. I.. Experimental determination of K| for hollow rectangular tubes containing corner cracks. In Fracture Mechanic, ASTM STP 677, ed. Smith, C. W.. 1979, pp. 719-733.
3. Sahli. A. and Albrecht, P.. Fatigue life of welded stiffeners with known initial cracks. In Fracture Mechanics: Fifteenth Symposium, ASTM STP 833. ed. Sanford, R. J.. American Society for Testing and Materials. 1984, pp. 193-217.
4. Tada, H., Paris. P. C. and Irwin, G. R.. The Stress Analyst', of (.'rucks Handbook. 2nd edn. Del Research Corp. St. Louis, Ms. 1985.
5. Wu. X. R. and Clarsson. A. .1., Weight Functions ami Stress Intensify Factor Solutions. Pergamon Press. Oxford, 1991.
6. Buckner, H. F., A novel principle for the computation of stress intensity factors, J.eilschrill für Angewandte Mathematik und Mechanik, 1970, 50, 529 546.
7. Rice. J. R.. Some remarks on elastic crack-tip stress field. International Journal of Solids and Structures. 1972, 8, 751 758.
8. Besuner, P. M., The influence function method for fracture mechanics and residual fatigue life analysis of cracked components under complex stress fields. Nuclear Engineering and Design, 1977, 43, 115 154.
9. Petroski. H. J. and Achenbuch. J. IX Computation of the weight functions from a stress intensity factor. Engineering Fracture Mechanics, 1978, 10, 257 266.
10. Oore, M. and Burns, D. J.. Estimation of stress intensity factors for embedded irregular cracks subjected to arbitrary normal stress fields. Journal of Pressure Vessels Technology, Transactions of the ASME, 1980. 102, 202-211.
11. Glinka. G. and Shen, G.. Universal features of weight functions for cracks in mode I. Engineering Fracture Mechanics, 1991, 40, 1135 1146.
12. Shen. G. and Glinka, G., Weight functions for a surface semi-elliptical crack in a finite thickness plate. Theoretical and Applied Fracture Mechanics. 1991, 15,247 255.
13. Zheng. X. J.. Glinka, G. and Du bey. R. N.. Stress intensity factors and weight functions for a corner cruck in a finite thickness plate. Engineering Fracture Mechanics. 1996, 51, 49-61.
14. Shen. G. and Glinka. G.. Stress intensity factors for internal edge and semi-elliptical cracks in hollow cylinders. In High Pressure-Codes, Analysis and Applications, ASME PVP-Vol. 263. ed. Khare. A., 1993, pp. 73 80.
15. Shen, G., Liebster. T. D. and ( ilinka. G.. Calculation of stress intensity factors for cracks in pipes. In Proceedings of the 12th International Conference on Offshore Mechanics and Arctic Engineering, OMAF.-93, ASME. 3B. 1993. pp. 847 854.
16. Forman. R. G., Mettu. S. R. and Shivakumar, V., Fracture mechanics evaluation of pressure vessels and pipes in aerospace applications. In /-'aligne. Fracture and Risk, ASME PVP-Vol. 241, 1992. pp. 25 36.
17. Benthem, J. P., State of stress at the vertex of a quarter-infinite crack in a half-space. International Journal of Solids and Structures. 1977, 13, 479 492.
18. Bazant, Z. P. and Estenssoro. L. F.. Surface singularity and crack propagation International Journal Solids and Structures. 1979, 15, 405 426.
19. Sih. G. C. and Lee. Y. D . Review of triaxial crack border stress and energy behavior. Theoretical and Applied Fracture Mechanics, 1989. 12, ! -17
20. Sih, G. C. and Li. C. T., Initiation and growth characterization of corner cracks near circular hole. Theoretical and Applied Fracture Mechanics. 1990. 13, 69 80.
21. Shivakumar, K. N. and Raju. I. S.. Treatment of singularities in cracked bodies. International Journal of Fracture. 1990. 45, 159 178.
22. Pook, L. P., Some implications of corner point singularities. Engineering Fracture Mechanics. 1994. 48, 367 378.
23. Shen. G. and Glinka, G., Determination of weight functions from reference stress intensity factors. Theoretical and Applied Fracture Mechanics. 1991, 15, 237 245.
24. Shiratori, M. and Miyoshi, T.. Weighting function for a quarter-elliptical crack in a plate under basic mode of stress distribution. In Stress Intensity Factors Handbook. Vol. 3. ed. Murakami. et ai. Pergamon Press. 1992, pp. 591 597.
25. Merkle, J. G.. A review I some o/ the existing stress intensity factor solutions tor part-through surface track, ()R.\LTM-.WX3. Oak Ridge Laboratory. 197.3.
26. Newman. J. C. and Raju. I. S., Stress intensity factor equations for cracks in three-dimensional finite bodies. In Fracture Mechanics: Fourteenth Svmposiuin- Vol. 1: Theory and Analysis, ASTM STP 791, ed. Lewis. J. C. and Sines. G.. American Society for Testing and Materials. 1983. pp. I 238 1 265.
27. Moftakhar, A. and Glinka. Ci . Calculation of stress intensity factors by efficient integration of weight functions. Engineering Fracture Mechanic \, 1992, 40, 749 756.