Fracture Analysis of Externally Semi-Elliptical Crack in a Spherical Pressure Vessel with Hoop-Wrapped Composite

Document Type : Research Paper


Abadan Institute of Technology, Petroleum University of Technology, Abadan, Iran


In this paper the effect of composite hoop-wrapped on stress intensity factor for semi-elliptical external crack which located in spherical pressure vessel, were investigated through the Finite Element Analysis. In order to find the effect of some parameters such as composite thickness and width, internal pressure and crack geometry, comparisons between different cases were done and discussed in detail. The result show that repairing crack with composite hoop-wrapped, can significantly reduce the stress intensity factor along the crack front. 


[1] Hearn E.J., 1997, Mechanics of Materials 2, The mechanics of elastic and plastic deformation of solids and structural materials: Butterworth-Heinemann.
[2] Nilsen K., 2011, Development of Low Pressure Filter Testing Vessel and Analysis of Electrospun Nanofiber Membranes for Water Treatment, Wichita State University.
[3] Shahani A., Nabavi S., 2006, Closed form stress intensity factors for a semi-elliptical crack in a thick-walled cylinder under thermal stress, International Journal of Fatigue 28(8): 926-933.
[4] Aydin L., Artem H.S.A, 2008, Axisymmetric crack problem of thick-walled cylinder with loadings on crack surfaces, Engineering Fracture Mechanics 75(6): 1294-1309.
[5] Miura N., 2008, Comparison of stress intensity factor solutions for cylinders with axial and circumferential cracks, Nuclear Engineering and Design 238(2): 423-434.
[6] Shahani A., Habibi S., 2007, Stress intensity factors in a hollow cylinder containing a circumferential semi-elliptical crack subjected to combined loading, International Journal of Fatigue 29(1): 128-140.
[7] Chao Y. J., Chen H., 1989, Stress intensity factors for complete internal and external cracks in spherical shells, International Journal of Pressure Vessels and Piping 40(4): 315-326.
[8] El Hakimi A., Le Grognec P., Hariri S., 2008, Numerical and analytical study of severity of cracks in cylindrical and spherical shells, Engineering Fracture Mechanics 75(5): 1027-1044.
[9] Perl M., Bernshtein V., 2010, 3-D stress intensity factors for arrays of inner radial lunular or crescentic cracks in a typical spherical pressure vessel, Engineering Fracture Mechanics 77(3): 535-548.
[10] Perl M., Bernshtein V., 2012, Three-dimensional stress intensity factors for ring cracks and arrays of coplanar cracks emanating from the inner surface of a spherical pressure vessel, Engineering Fracture Mechanics 94: 71-84.
[11] Baker A., Jones R., 1988, Bonded Repair of Aircraft Structures, Martinus Nijhoff, Dordrecht.
[12] Benyahia F., Albedah A., Bouiadjra B.B., 2014, Stress intensity factor for repaired circumferential cracks in pipe with bonded composite wrap, Journal of Pressure Vessel Technology 136(4): 041201.
[13] Gu L., Kasavajhala A.R.M., Zhao S., 2011, Finite element analysis of cracks in aging aircraft structures with bonded composite-patch repairs, Composites Part B: Engineering 42(3): 505-510.
[14] Su B., Bhuyan G., 1998, Effect of composite wrapping on the fracture behavior of the steel-lined hoop-wrapped cylinders, International Journal of Pressure Vessels and Piping 75(13): 931-937.
[15] Shahani A., Kheirikhah M., 2007, Stress intensity factor calculation of steel-lined hoop-wrapped cylinders with internal semi-elliptical circumferential crack, Engineering Fracture Mechanics 74(13): 2004-2013.
[16] Chen J., Pan H., 2013, Stress intensity factor of semi-elliptical surface crack in a cylinder with hoop wrapped composite layer, International Journal of Pressure Vessels and Piping 110: 77-81.
[17] Committee A.I.H., 1990, Engineered Materials Handbook: Adhesives and Sealants, CRC.
[18] 16.0, A., 2016, FE program package, ANSYS Inc.
[19] Standard, 2007, A. 579-1/ASME FFS-1 Fitness for Service, API.