Research Article

*An axisymmetric linearly elastic and isotropic finite
cylinder with rigid ends and a circumferential edge crack subjected to axial
tension is considered. Finite cylinder problem is obtained from an infinite
cylinder containing an internal ring-shaped crack and two penny-shaped rigid
inclusions.** Navier equations are solved by
using Fourier and Hankel transforms. Formulation is reduced to three singular
integral equations which are converted to a system of linear algebraic
equations with the aid of Gauss-Lobatto and Gauss-Jacobi integration formulas.
Stress intensity factors at the edges of crack and around the corner of the
cylinder are calculated.*

- Artem, H., Gecit. M.R. (2002). An elastic hollow cylinder under axial tension containing a crack and two rigid inclusions of ring shape. Computers & Structures, 80, 2277-2287.
- Chang, S.S. (1985). The general solution of a finite cylinder with a concentric penny-shaped crack under torsion. Engng Fract Mech, 22: 571-578.
- Durucan, A.R. (2010). Axisymmetric finite cylinder with rigid ends and a circumferential edge crack. M.S. thesis. Middle East Technical University, Ankara, Turkey.
- Erdogan, F., Gupta, G.D., Cook, T.S. (1973). Numerical solution of singular integral equations. In: Sih GC, editor. Methods of analysis and solutions of crack problems. Leyden: Noordhoff International Publishing, 368-425.
- Erdol, R., Erdogan, F. (1978). Thick-walled cylinder with an axisymmetric internal or edge crack. Journal of Applied Mechanics, Transactions, ASME, 45: 281-286.
- Gupta, G.D. (1973). An integral equation approach to the semi-infinite strip problem. Journal of Applied Mechanics, Transactions, ASME, 40: 948-954.
- Kadioglu, F.S.(2005) Edge cracks in a transversely isotropic hollow cylinder. Engineering Fracture Mechanics,72: 2159-2173.
- Kaman, M.O., Gecit, M.R. (2006). Cracked semi-infinite cylinder and finite cylinder problems. International Journal of Engineering Sciences,44: 1534–1555.
- Kaman, M.O., Gecit, M.R. (2008). Axisymmetric finite cylinder with one end clamped and the other under uniform tension containing a penny-shaped crack. Engineering Fracture Mechanics, 75: 3909-3923.
- Lee, D.S. (2002). A long circular cylinder with a circumferential edge crack subjected to a uniform shearing stress. Int J Solids Struct, 39, 2613-2628.
- Lee, D.S. (2003). Tension of a long circular cylinder having a spherical cavity with a peripheral edge crack. International Journal of Solids and Structures, 40: 2659-2671.
- Liang, B., Zhang, X.S. (1992). The problem of a concentric penny-shaped crack of mode III in a nonhomogeneous finite cylinder. Engng Fract Mech, 42, 79-85.
- Meshii, T., Watanabe, K. (2001). Stress intensity factor for a circumferential crack in a finite-length thin to thick-walled cylinder under an arbitrary biquadratic stress distribution on the crack surface. Engng Fract Mech, 68, 975-986.
- Nied, H.F., Erdogan, F.(1983). The elasticity problem for a thick-walled cylinder containing a circumferential crack. International Journal of Fracture, 22: 277-301.
- Toygar, M.E., Gecit, M.R. (2006). Cracked infinite cylinder with two rigid inclusions under axisymmetric tension. International Journal of Solids and Structures, 43: 4777-4794.
- Zhang, X.S. (1988). Off-plane concentric penny-shaped crack in a finite cylinder under arbitrary torsion. Theor Appl Fract Mech, 9, 263-270.

*Bu çalışmada
doğrusal elastik ve izotropik malzemeden imal edilmiş, çevresel bir kenar
çatlağı içeren rijit uçlu sonlu uzunlukta eksenel simetrik bir silindir
incelenmiştir. Sonlu silindir problemine ulaşmak için, halka şeklinde iç çatlak
ve iki dairesel şekilli enklüzyon içeren sonsuz bir silindirden yola çıkılmıştır.
Navier denklemleri Fourier ve Hankel dönüşümleri kullanılarak çözülmüştür.
Formülasyon tekil integral denklemlerine indirgenmiş ve Gauss-Lobatto ve
Gauss-Jakobi integrasyon formülleri ile doğrusal cebrik denklem takımlarına
dönüştürülmüştür. Çatlağın kenarlarındaki ve silindirin çevresi etrafındaki
gerilme yığılma faktörleri hesaplanmıştır.*

- Artem, H., Gecit. M.R. (2002). An elastic hollow cylinder under axial tension containing a crack and two rigid inclusions of ring shape. Computers & Structures, 80, 2277-2287.
- Chang, S.S. (1985). The general solution of a finite cylinder with a concentric penny-shaped crack under torsion. Engng Fract Mech, 22: 571-578.
- Durucan, A.R. (2010). Axisymmetric finite cylinder with rigid ends and a circumferential edge crack. M.S. thesis. Middle East Technical University, Ankara, Turkey.
- Erdogan, F., Gupta, G.D., Cook, T.S. (1973). Numerical solution of singular integral equations. In: Sih GC, editor. Methods of analysis and solutions of crack problems. Leyden: Noordhoff International Publishing, 368-425.
- Erdol, R., Erdogan, F. (1978). Thick-walled cylinder with an axisymmetric internal or edge crack. Journal of Applied Mechanics, Transactions, ASME, 45: 281-286.
- Gupta, G.D. (1973). An integral equation approach to the semi-infinite strip problem. Journal of Applied Mechanics, Transactions, ASME, 40: 948-954.
- Kadioglu, F.S.(2005) Edge cracks in a transversely isotropic hollow cylinder. Engineering Fracture Mechanics,72: 2159-2173.
- Kaman, M.O., Gecit, M.R. (2006). Cracked semi-infinite cylinder and finite cylinder problems. International Journal of Engineering Sciences,44: 1534–1555.
- Kaman, M.O., Gecit, M.R. (2008). Axisymmetric finite cylinder with one end clamped and the other under uniform tension containing a penny-shaped crack. Engineering Fracture Mechanics, 75: 3909-3923.
- Lee, D.S. (2002). A long circular cylinder with a circumferential edge crack subjected to a uniform shearing stress. Int J Solids Struct, 39, 2613-2628.
- Lee, D.S. (2003). Tension of a long circular cylinder having a spherical cavity with a peripheral edge crack. International Journal of Solids and Structures, 40: 2659-2671.
- Liang, B., Zhang, X.S. (1992). The problem of a concentric penny-shaped crack of mode III in a nonhomogeneous finite cylinder. Engng Fract Mech, 42, 79-85.
- Meshii, T., Watanabe, K. (2001). Stress intensity factor for a circumferential crack in a finite-length thin to thick-walled cylinder under an arbitrary biquadratic stress distribution on the crack surface. Engng Fract Mech, 68, 975-986.
- Nied, H.F., Erdogan, F.(1983). The elasticity problem for a thick-walled cylinder containing a circumferential crack. International Journal of Fracture, 22: 277-301.
- Toygar, M.E., Gecit, M.R. (2006). Cracked infinite cylinder with two rigid inclusions under axisymmetric tension. International Journal of Solids and Structures, 43: 4777-4794.
- Zhang, X.S. (1988). Off-plane concentric penny-shaped crack in a finite cylinder under arbitrary torsion. Theor Appl Fract Mech, 9, 263-270.

Primary Language | English |
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Subjects | Civil Engineering |

Journal Section | Civil Engineering |

Authors | |

Publication Date | June 30, 2018 |

Application Date | December 2, 2017 |

Acceptance Date | December 20, 2017 |

Published in Issue | Year 2018, Volume 21, Issue 2 |