Experimental and finite element analyses on stress intensity factors of an elliptical surface crack in a circular shaft under tension and bending

International Journal of Fracture

Volumn 129, Issue 3, 2004, Pages 239-264

  Shin, C S ^a   Cai, C Q ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Closed form stress intensity solution; Experiment backtracking technique; Stress intensity factor; Surface crack

Indexed keywords

BENDING (DEFORMATION); CRACK PROPAGATION; FINITE ELEMENT METHOD; STRESS ANALYSIS; SURFACE PROPERTIES; TENSILE TESTING;

CLOSED FORM STRESS INTENSITY SOLUTION; EXPERIMENT BACKTRACKING TECHNIQUE; SURFACE CRACK;

STRESS INTENSITY FACTORS;

EID: 9144242148     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:FRAC.0000047784.23236.7d     Document Type: Article

References (36)

1. Astiz, M.A. (1986). An incompatible singular elastic element for two- and three-dimensional crack problems. International Journal of Fracture 31, 105-124.
2. Athanassiadis, Boissenot, J.M., Brevet, P., Francois, D. and Raharinaivo, A. (1981). Linear elastic fracture mechanics computations of cracked cylindrical tensioned bodies. International Journal of Fracture 17, 553-566.
3. Barsourn, R.S. (1976). On the use of isoparametric finite element s in linear fracture mechanics. International Journal for Numerical Methods in Engineering 10, 25-37.
4. Bazant, Z.P. and Estenssoro, L.F. (1979). Surface singularity and crack propagation. International Journal of Solids and Structures 15 405-426.
5. Bush, J. (1976). Experimentally determined stress-intensity factors for single-edge-crack round bars loaded in bending. Experimental Mechanics 249-257.
6. Bush, J. (1981). Stress intensity factors for single-edge-crack solid and hollow round bars loaded in tension. Journal of Testing and Evaluation 9, 216-223.
7. Cai, C.Q. and Shin, C.S. (2004a). 'A discussion on "The stress intensity factor study of an elliptical cracked shaft' by Y.S. Shih and J.J. Chen, Nuclear Engineering and Design 227 (3), 355-358.
8. Cai, C.Q. and Shin, C.S. (2004b). A normalized area-compliance method for monitoring the surface crack development in a cylindrical rod. unpublished results.
9. Carpinteri, A. (1992a). Stress intensity factors for straight-fronted edge cracks inround bars. Engineering Fracture Mechanics 42 1035-1040.
10. Carpinteri, A. (1992b). Elliptical-are surface cracks in round bars. Fatigue and Fracture of Engineering Materials and Structures 15 1141-1153.
11. Carpinteri, A. and Brighenti, R. (1996). Part-through cracks inround bars under cyclic combined axial and bending loading. International Journal of Fatigue 18, 33-39.
12. Caspers, M., Mattheck, C. and Munz, D. (1990). Propagation of surface cracks in notched and unnotched rods. Surface-Crack Growth: Models, Experiments, and Structures ASIM STP 1060, 365-389.
13. Couroneau, N. and Royer, J. (1998). Simplified model for the fatigue growth analysis of surface cracks in round bars under mode I. International Journal of Fatigue 10, 711-718.
14. Daoud, O.E.K., Cartwright, D.J. and Carney, M. (1978). Strain-energy release rate for a single edge-cracked circular bar in tension. Journal of Strain Analysis 13 , 83-89.
15. Daoud, O.E.K. and Cartwright, D.J. (1985). Strain energy release rate for a circular-are edge crack in a bar under tension or bending. Journal of Strain Analysis 20, 53-58
16. Dawicke, D.S., Grandt, Jr., A.F. and Newman Jr, J.C. (1990). Three-dimensional crack closure behavior. Engineering Fracture Mechanics 36, 111-121.
17. Fleck, N.A., Smith, I.F.C. and Smith, R.A. (1983). Closure behaviour of surface cracks, Fatigue and Fracture of Engineering Materials and Structures 3, 225-239.
18. Fleck, N.A. (1988). Influence of stress state on crack growth retardation. Basic Questions in Fatigue ASTM STP 924,157-183.
19. Forman, R.G. and Shivakumar, V. (1986). Growth behavior of surface cracks in the circumferential plane of solid and hollow cylinders. Fracture Mechanics: Seventeen volume. ASTM 905, 59-74.
20. Hayashi, K. and Abe, H. (1980). Stress intensity factors for a semi-elliptical crack in the surface of a semi-infinite solid. International Journal of Fracture 16, 275-285.
21. Hellen, T.K. (1975). On the method of virtual crack extension. International Journal for Numerical methods in Engineering 9, 187-207.
22. James, L.A. and Anderson, W.E. (1969). A Simple Experimental procedure for Stress Intensity Calibration. Engineering Fracture Mechanics 1, 565.
23. Lorentzen, T., Kjaer, N.E. and Henriksen, T.K. (1986). The application of fracture mechanics to surface cracks in shafts. Engineering Fracture Mechanics 23, 1005-1014.
24. Mackay, T.L. and Alperin, B.J. (1985). Stress intensity factors for fatigue cracking in high-strength bolts. Engineering Fracture Mechanics 21, 391-397.
25. Murakami, Y. and Tsuru, H. (1987). Stress-Intensity factor equations for semi-elliptical surface crack in a shaft under bending. Stress Intensity Factors Handbook, Vol 11. Oxford: Pergamon Press 657-658.
26. Nord, K.J. and Chung, T.J. (1986). Fracture and surface flaws in smooth and threaded round bars. International Journal of Fracture 30 47-55.
27. Parks, D.M. (1974). A stiffness derivative finite element technique for determination of elastic crack tip stress intensity factor. International Journal of Fracture 10, 487-502.
28. Raju, I.S. and Newman, J.C. (1986). Stress- intensity Factors for circumferential surface cracks in pipes and rods under tension and bending loads. Fracture Mechanics: Seventeen volume. ASTM STP 905, 789-805.
29. Ray, S.K., Perez, R. and Grandt, Jr., A.F. (1987). Fatigue Crack Closure of Corner Cracks Located at Holes Loaded in Tension or Bending. Fatigue and Fracture of Engineering Materials and Structures 10 239-250.
30. Schijve, J. (1985). Comparison Between Empirical and Calculated Stress Intensity Factors of Hole Edge cracks. Engineering Fracture Mechanics 22, 49-58.
31. Shih, Y.S. and Chen, J.J. (2002). The stress intensity factor study of an elliptical cracked shaft. Nuclear Engineering and Design 214 137-145.
32. Shin, C.S. (1990). The stress intensity factors of corner cracks emanating from holes. Engineering Fracture Mechanics 37, 423-436.
33. Shin, C.S. and Chen, P.C. (2004). Fatigue crack propagation testing using subsized rotating bending specimens. In press in Nuclear Engineering and design.
34. Shiratori, M., Miyoshi, T., Sakai, Y. and Zhang, G.R. (1986). Analysis of stress intensity factors for surface cracks subjected to arbitrarily distributed surface stresses. Trans. Japan Soc. Mech. Engrs. 660-662.
35. Troha, W.A., Nicholas, T. and Grandt, Jr, A.F. (1988). Three dimensional aspects of fatigue crack closure in surface flaws in polymethylmethacrylate material. ASTM STP 982, 598-616.
36. Wilhem, D., FitzGerald, J., Carter, J. and Dittmer, D. (1982). An empirical approach to determining K for surface cracks. Proceedings of the 5th international Conference on Fracture Research 11-21.