Development of J-Integral Prediction Model for Surface Cracks in Round Bars under Combined Loadings

Abstract:

Solid cylindrical bars have tremendous applications in mechanical engineering. However due to several factors such as corrosion, material and design defects, mechanical failure is unavoidable. In the present of mechanical loadings, the crack initiated at such defects and growth. Therefore, this work focuses on a numerical simulation to analyze the behavior of the surface cracks under combined mode-I loadings. Different crack aspect ratios, a/b and relative crack depth, a/D are used and the plastic stress/strain is assumed to follow the Ramberg-Osgood relation. Then, the limit loads were combined with a reference stress method to develop a mathematical model to predict J-integral along the crack front. Referring to the results, the J-integral can be predicted along the crack fronts. However, the capabilities to predict J-integral are reduced when a/b and a/D is increased.

• Periodical: Applied Mechanics and Materials (Volume 315)
• Pages: 665-669
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.315.665
• Online since: April 2013
• Authors: Al Emran Ismail
• Keywords: Combined Loadings, Finite Element Analysis (FEA), Ĵ-Integral, Surface Cracks

References

[1] K.M. Mahmoud, Fracture strength for a high strength steel bridge cable wire with a surface crack, Int. J. of Theoretical and Applied Fracture Mechanics, 48 (2007) 152-160.

DOI: 10.1016/j.tafmec.2007.05.006

[2] K.O. Findley, S.W. Koh, A. Saxena, J-integral expressions for semi-elliptical cracks in round bars, Int. J. of Fatigue, 29 (2007) 822-828.

DOI: 10.1016/j.ijfatigue.2006.09.001

[3] A.E. Ismail, A.K. Ariffin, S. Abdullah and M.J. Ghazali, Stress intensity factors for surface cracks in round bar under single and combined loadings, Meccanica, 47 (2012) 1141-1156.

DOI: 10.1007/s11012-011-9500-7

[4] A.E. Ismail, A.K. Ariffin, S. Abdullah and M.J. Ghazali, Stress intensity factors under combined tension and torsion loadings, Indian J. of Engineering and Material Sciences, 19 (2012) 5-16.

[5] A.E. Ismail, A.K. Ariffin, S. Abdullah and M.J. Ghazali, R. Daud, M. AbdulRazzaq, Stress intensity factors under combined bending and torsion moments, J. of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 13 (2012) 1-8.

DOI: 10.1631/jzus.a1100040

[6] A.E. Ismail, A.K. Ariffin, S. Abdullah and M.J. Ghazali, Probabilistic high cycle multiaxial fatigue analysis using finite element method, Trans. of Hong Kong Institute of Engineers, 18 (2011) 13-18.

DOI: 10.1080/1023697x.2011.10668226

[7] X.B. Lin, R.A. Smith, Shape growth simulation of surface cracks in tension fatigue round bars, J. of Fatigue, 19 (1997) 461-469.

DOI: 10.1016/s0142-1123(97)00012-1

[8] J.R. Rice, A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks, J. of Applied Mechanics, 35 (1968) 379-386.

DOI: 10.1115/1.3601206

[9] A. Carpinteri, S. Vantadori, Sickle-shaped cracks in metallic round bars under cyclic eccentric axial loading, Int. J. of Fatigue, 31 (2009) 759-765.

DOI: 10.1016/j.ijfatigue.2008.03.006

[10] A. Carpinteri, R. Brighenti, S. Vantadori, Surface cracks in notched round bars under cyclic tension and bending, Int. J. of Fatigue, 28 (2006) 251-260.

DOI: 10.1016/j.ijfatigue.2005.05.006

[11] C.S. Shin, C.Q. Cai, Experimental and finite element analyses on stress intensity factors of an elliptical surface crack in a circular shaft under tension and bending, Int. J. of Fracture, 129 (2004) 239-264.

DOI: 10.1023/b:frac.0000047784.23236.7d

[12] A.E. Ismail, A.K. Ariffin, S. Abdullah, M.J. Ghazali, R. Daud, J-Integral analysis of surface cracks in round bars under bending loadings, Applied Mechanics and Materials, 52-54 (2011) 43-48.

DOI: 10.4028/www.scientific.net/amm.52-54.43

[13] A.E. Ismail, A.K. Ariffin, S. Abdullah, M.J. Ghazali, R. Daud, J-Integral analysis of surface cracks in round bars under tension loadings, Applied Mechanics and Materials, 52-54 (2011) 37-42.

DOI: 10.4028/www.scientific.net/amm.52-54.37