TY - JOUR T1 - Axisymmetric finite cylinder with rigid ends and a circumferential edge crack TT - Çevresel kenar çatlağı içeren rijit uçlu eksenel simetrik sonlu silindir AU - Durucan, Ayşe Ruşen PY - 2018 DA - June DO - 10.17780/ksujes.360635 JF - Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi JO - KSU J. Eng. Sci. PB - Kahramanmaras Sutcu Imam University WT - DergiPark SN - 1309-1751 SP - 121 EP - 130 VL - 21 IS - 2 LA - en AB - An axisymmetric linearly elastic and isotropic finitecylinder with rigid ends and a circumferential edge crack subjected to axialtension is considered. Finite cylinder problem is obtained from an infinitecylinder containing an internal ring-shaped crack and two penny-shaped rigidinclusions.Navier equations are solved byusing Fourier and Hankel transforms. Formulation is reduced to three singularintegral equations which are converted to a system of linear algebraicequations with the aid of Gauss-Lobatto and Gauss-Jacobi integration formulas.Stress intensity factors at the edges of crack and around the corner of thecylinder are calculated. KW - Edge Crack KW - Finite Cylinder KW - Stress Intensity Factor KW - Rigid Inclusion N2 - Bu çalışmadadoğrusal elastik ve izotropik malzemeden imal edilmiş, çevresel bir kenarçatlağı içeren rijit uçlu sonlu uzunlukta eksenel simetrik bir silindirincelenmiştir. Sonlu silindir problemine ulaşmak için, halka şeklinde iç çatlakve 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 veGauss-Jakobi integrasyon formülleri ile doğrusal cebrik denklem takımlarınadönüştürülmüştür. Çatlağın kenarlarındaki ve silindirin çevresi etrafındakigerilme yığılma faktörleri hesaplanmıştır. CR - 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. CR - 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. CR - Durucan, A.R. (2010). Axisymmetric finite cylinder with rigid ends and a circumferential edge crack. M.S. thesis. Middle East Technical University, Ankara, Turkey. CR - 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. CR - Erdol, R., Erdogan, F. (1978). Thick-walled cylinder with an axisymmetric internal or edge crack. Journal of Applied Mechanics, Transactions, ASME, 45: 281-286. CR - Gupta, G.D. (1973). An integral equation approach to the semi-infinite strip problem. Journal of Applied Mechanics, Transactions, ASME, 40: 948-954. CR - Kadioglu, F.S.(2005) Edge cracks in a transversely isotropic hollow cylinder. Engineering Fracture Mechanics,72: 2159-2173. CR - Kaman, M.O., Gecit, M.R. (2006). Cracked semi-infinite cylinder and finite cylinder problems. International Journal of Engineering Sciences,44: 1534–1555. CR - 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. CR - 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. CR - 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. CR - 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. CR - 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. CR - 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. CR - 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. CR - Zhang, X.S. (1988). Off-plane concentric penny-shaped crack in a finite cylinder under arbitrary torsion. Theor Appl Fract Mech, 9, 263-270. UR - https://doi.org/10.17780/ksujes.360635 L1 - https://dergipark.org.tr/en/download/article-file/502356 ER -