Surface Cracks in Round Bars under Cyclic Tension or Bending

Abstract:

Article Preview

The fatigue growth of a surface crack in a metallic round bar under cyclic tension or bending is analysed. The stress-intensity factor (SIF) along the crack front is computed through a three-dimensional finite element analysis and the one-quarter point displacement method. The results are compared with those presented by other Authors. Then, the fatigue behaviour of the cracked bar is numerically determined by a step-by-step procedure.

Info:

Periodical:

Key Engineering Materials (Volumes 378-379)

Edited by:

Dr. T. S. Srivatsan, FASM, FASME

Pages:

341-354

DOI:

10.4028/www.scientific.net/KEM.378-379.341

Citation:

A. Carpinteri and S. Vantadori, "Surface Cracks in Round Bars under Cyclic Tension or Bending", Key Engineering Materials, Vols. 378-379, pp. 341-354, 2008

Online since:

March 2008

Export:

Price:

$35.00

[1] W.S. Blackburn: Calculation of stress intensity factors for straight cracks in grooved and ungrooved shafts. Engineering Fracture Mechanics Vol. 8 (1976), 731-736.

DOI: 10.1016/0013-7944(76)90046-1

[2] A.J. Bush: Experimentally determined stress-intensity factors for single-edge-crack round bars loaded in bending. Experimental Mechanics Vol. 16 (1976), 249-257.

DOI: 10.1007/bf02321148

[3] M.A. Astiz, M. Elices and V. Sánchez-Gálvez: On energy release rates in axisymmetrical problems. In Fracture 1977, Vol. 3, ICF4 (1977), pp.395-400.

DOI: 10.1016/b978-0-08-022142-7.50062-4

[4] R.G. Forman and V. Shivakumar: Growth behaviour of surface cracks in the circumferential plane of solid and hallow cylinders. In: Fracture Mechanics 17, ASTM STP 905 (1986), pp.59-74.

DOI: 10.1520/stp17388s

[5] K.J. Nord and T.L. Chung: Fracture and surface flaws in smooth and threaded round bars. International Journal of Fatigue Vol. 30 (1986), 47-55.

[6] Y. Murakami and H. Tsuru: Stress-Intensity factor equations for semi-elliptical surface crack in a shaft under bending. In: Stress Intensity Factors Handbook II, Pergamon Press, Oxford (1987), pp.657-658.

[7] A. Carpinteri: Stress intensity factors for straight-fronted edge cracks in round bars. Engineering Fracture Mechanics Vol. 42 (1992), 1035-1040.

DOI: 10.1016/0013-7944(92)90142-2

[8] A. Carpinteri: Elliptical-arc surface cracks in round bars. Fatigue and Fracture of Engineer Materials and Structures Vol. 15 (1992), 1141-1153.

DOI: 10.1111/j.1460-2695.1992.tb00039.x

[9] A. Carpinteri: Shape change of surface cracks in round bars under cyclic axial loading. International Journal of Fatigue Vol. 15 (1993), 21-26.

DOI: 10.1016/0142-1123(93)90072-x

[10] A. Levan and J. Royer: Part-circular surface cracks in round bars under tension, bending and twisting. International Journal of Fatigue Vol. 61 (1993), 71-99.

DOI: 10.1007/bf00032340

[11] A. Carpinteri (Ed. ): Handbook of Fatigue Crack Propagation in Metallic Structures. Elsevier Science BV, Amsterdam (1994).

[12] Y.S. Shih and J.J. Chen: Analysis of fatigue crack growth on a cracked shaft. International Journal of Fatigue Vol. 19 (1997), 477-485.

[13] Y.S. Shih and J.J. Chen: The stress intensity factor study of an elliptical cracked shaft. Nuclear Engineering and Design Vol. 214 (2002), 137-145.

DOI: 10.1016/s0029-5493(02)00022-5

[14] C.S. Shin and C.Q. Cai: Experimental and finite element analyses of an elliptical surface crack in a circular shaft under tension and bending. International Journal of Fatigue Vol. 129 (2004), 239-264.

DOI: 10.1023/b:frac.0000047784.23236.7d

[15] A. Carpinteri, R. Brighenti and S. Vantadori: Surface cracks in notched round bars under cyclic tension and bending. International Journal of Fatigue Vol. 28 (2006), 251-260.

DOI: 10.1016/j.ijfatigue.2005.05.006

[16] L.A. James and W.J. Mills: Review and synthesis of stress intensity factor solutions applicable to cracks in bolts. Engineering Fracture Mechanics Vol. 30 (1988), 641-654.

DOI: 10.1016/0013-7944(88)90156-7

[17] M.N. Pacey, R.L. Burguete and E.A. Patterson: A study of the stress distribution in threads of bolts with cracks. In: Proceedings of the 14th International Conference on Offshore Mechanics and Arctic Engineering III, pp.225-262, American Society of Mechanical Engineers, New York (1995).

[18] N. Makhutov, V. Zatsarinny and V. Kagan: Initiation and propagation mechanics of low cycle fatigue cracks in bolts. In: Advances in Fracture Research, pp.605-612, Pergamon Press, Oxford, UK (1981).

[19] C. Mattheck, P. Morawietz and D. Munz: Stress intensity factors of sickle shaped cracks in cylindrical bars. International Journal of Fatigue Vol. 1 (1985), 45-47.

DOI: 10.1016/0142-1123(85)90007-6

[20] M. Caspers, C. Mattheck and D. Munz: Propagation of surface cracks in notched and unnotched rods. In: Surface-Crack Growth: Models, Experiments and Structures, ASTM STP 1060 (1990), pp.365-389.

DOI: 10.1520/stp23444s

[21] J. Hobbs, R. Burguete, P. Heyes and E. Patterson: The effect of eccentric loading on fatigue the performance of high-tensile bolts. International Journal of Fatigue Vol. 22 (2000), 531-538.

DOI: 10.1016/s0142-1123(00)00004-9

[22] J. Hobbs, R. Burguete, P. Heyes and E. Patterson: A photoelastic analysis of crescent-shaped cracks in bolts. Journal of Strain Analysis Vol. 36 (2001), 93-99.

DOI: 10.1243/0309324011512649

[23] A. Carpinteri, R. Brighenti, S. Vantadori and D. Viappiani: Sickle-shaped crack in a round bar under complex mode I loading. Fatigue and Fracture of Engineer Materials and Structures Vol. 30 (2007), 524-534.

DOI: 10.1111/j.1460-2695.2006.01125.x

[24] A. Athanassiadis, J.M. Boissenot, P. Brevet, D. Francois and A. Raharinaivo: Linear elastic fracture mechanics computations of cracked cylindrical tensioned bodies. International Journal of Fracture Vol. 17 (1981), 553-566.

DOI: 10.1007/bf00681556

[25] A.S. Salah el din and J.M. Lovegrove: Stress intensity factors for fatigue cracking of round bars. International Journal of Fracture Vol. 3 (1981), 117-123.

[26] K. Nezu, S. Machida and H. Nakamura: SIF of surface cracks and fatigue crack propagation behavior in a cylindrical bar. In: 25 th Japan Cong. Mater. Res. -Metallic Metals (1982), pp.87-92.

[27] P.C. Paris and F.J. Erdogan: A critical analysis of crack propagation laws. Journal of Basic Engineering, ASME 85D (1963), 528-534.

In order to see related information, you need to Login.