Characterization of Stress Concentration in Thin Cylindrical Shells with Rectangular Cutout Under Axial Pressure

O. Sam Daliri, M. Farahani


In this paper, stress concentration in the thin cylindrical shell with rectangular cutout subjected to uniform axial pressure was investigated using a parametric finite element model. Design of experiments techniques and statistical analysis was used to provide a model for characterizing the critical stress in these components. The influences of the geometrical parameters and their combinations were studied in detail. It was observed that the length to width ratio of the cutout, the length and the radius to thickness ratio of the cylinder were significant parameters for describing the stress concentration around the cutout, respectively. By increasing the length to width ratio as a main effective geometrical factor in the stress concentration, the stress around the cutout was increased significantly. Based on the statistical analysis conducted in this study, a formula was derived which can predict the stress concentration around the cutout of the cylinder with the accuracy more than 84% (R2 = 88.7%, R2pred = 84.6%, R2adj= 86.7%).


Finite element method, Thin cylindrical shell, Rectangular Cut-out, Statistical analysis, Stress concentration

Full Text:



Ghanbari Ghazijahani, T., Jiao, H., and Holloway, D., "Structural behavior of shells with different cutouts under compression: An experimental study," Journal of Constructional Steel Research, vol. 105, 2015, pp. 129-137.

Han, H., Cheng, J., Taheri, F., and Pegg, N., "Numerical and experimental investigations of the response of aluminum cylinders with a cutout subject to axial compression," Thin-Walled Structures, vol. 44, 2006, pp. 254-270.

Naghdi, A. K. and Gersting, J. M., Jr., "The effect of a transverse shear acting on the edge of a circular cutout in a simply supported circular cylindrical shell," Ingenieur-Archiv, vol. 42, 1973, pp. 141-150.

Aliabadi, M., Rooke, D., and Cartwright, D., "An improved boundary element formulation for calculating stress intensity factors: application to aerospace structures," The Journal of Strain Analysis for Engineering Design, vol. 22, 1987, pp. 203-207.

Theocaris, P. and Petrou, L., "From the rectangular hole to the ideal crack," International journal of Solids and Structures, vol. 25, 1989, pp. 213-233.

Folias, E. and Wang, J.-J., "On the three-dimensional stress field around a circular hole in a plate of arbitrary thickness," Computational Mechanics, vol. 6, 1990, pp. 379-391.

Lasko, G., Deryugin, Y., Schmauder, S., and Saraev, D., "Determination of stresses near multiple pores and rigid inclusion by relaxation elements," Theoretical and Applied Fracture Mechanics, vol. 34, 2000, pp. 93-100.

Singh, A. and Paul, U., "Finite displacement static analysis of thin plate with an opening––a variational approach," International journal of solids and structures, vol. 40, 2003, pp. 4135-4151.

Paik, J. K., "Ultimate strength of perforated steel plates under edge shear loading," Thin-Walled Structures, vol. 45, 2007, pp. 301-306.

Rezaeepazhand, J. and Jafari, M., "Stress concentration in metallic plates with special shaped cutout," International Journal of Mechanical Sciences, vol. 52, 2010, pp. 96-102.

Woo, J.-H. and Na, W.-B., "Effect of Cutout Orientation on Stress Concentration of Perforated Plates with Various Cutouts and Bluntness," International Journal of Ocean System Engineering, vol. 1, 2011, pp. 95-101.

Rezaeepazhand, J. and Jafari, M., "Stress analysis of composite plates with a quasi-square cutout subjected to uniaxial tension," Journal of Reinforced plastics and composites, 2009.

Pan, Z., Cheng, Y., and Liu, J., "Stress analysis of a finite plate with a rectangular hole subjected to uniaxial tension using modified stress functions," International Journal of Mechanical Sciences, vol. 75, 2013, pp. 265-277.

Rahimi, G. and Alashti, R., "Plastic limit loads of cylinders with a circular opening under combined axial force and bending moment," The Journal of Strain Analysis for Engineering Design, vol. 42, 2007, pp. 55-66.

Kalita, K., Shinde, D., and Haldar, S., "Analysis on Transverse Bending of Rectangular Plate," Materials Today: Proceedings, vol. 2, 2015, pp. 2146-2154.

Thirumump, M., Kalita, K., Ramachandran, M., and Ghadai, R., "A numerical study of SCF convergence using ANSYS," ARPN Journal of Engineering and Applied Sciences, vol. 10, 2015.

Kalita, K., Shinde, D., and Thomas, T. T., "Non-dimensional stress analysis of an orthotropic plate," Materials Today: Proceedings, vol. 2, 2015, pp. 3527-3533.

Santos, A., "Determination of stress concentration factors on flat plates of structural steel," in Journal of Physics: Conference Series, 2013, p. 012035.

Verri, F. R., Junior, J. F. S., de Faria Almeida, D. A., de Oliveira, G. B. B., de Souza Batista, V. E., Honório, H. M., et al., "Biomechanical influence of crown-to-implant ratio on stress distribution over internal hexagon short implant: 3-D finite element analysis with statistical test," Journal of biomechanics, vol. 48, 2015, pp. 138-145.

Cerik, B. C., "Ultimate strength of locally damaged steel stiffened cylinders under axial compression," Thin-Walled Structures, vol. 95, 2015, pp. 138-151.

Guoliang, J., Lin, C., and Jiamei, D., "Monte Carlo finite element method of structure reliability analysis," Reliability Engineering & System Safety, vol. 40, 1993, pp. 77-83.

Narayana, A. L., Rao, K., and Kumar, R. V., "FEM buckling analysis of quasi-isotropic symmetrically laminated rectangular composite plates with a square/rectangular cutout," Journal of Mechanical Science and Technology, vol. 27, 2013, pp. 1427-1435.

Vartdal, B., Al-Hassani, S., and Burley, S., "A tube with a rectangular cut-out. Part 1: Subject to pure bending," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 220, 2006, pp. 625-643.

Lubarda, V. A., "On the circumferential shear stress around circular and elliptical holes," Archive of Applied Mechanics, vol. 85, 2015, pp. 223-235.

Dimopoulos, C. A. and Gantes, C. J., "Numerical methods for the design of cylindrical steel shells with unreinforced or reinforced cutouts," Thin-Walled Structures, vol. 96, 2015, pp. 11-28.

Mazraehshahi, H. T. and Zakeri, A., "Influence of material and geometrical parameters on stress field of composite plates with insert," Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2011, pp. 1573-1582.

Kumar, A., Agrawal, A., Ghadai, R., and Kalita, K., "Analysis of Stress Concentration in Orthotropic Laminates," Procedia Technology, vol. 23, 2016, pp. 156-162.

Kalita, K. and Halder, S., "static analysis of Transversely loaded Isotropic and Orthotropic plates with central cutout," Journal of the Institution of Engineers (India): Series C, vol. 95, 2014, pp. 347-358.

"ABAQUS 6.4 PR11 user’s manual."

Fereidoon, A., Kolasangiani, K., Akbarpour, A., and Shariati, M., "Study on buckling of steel cylindrical shells with an elliptical cutout under combined loading," Journal of Computational & Applied Research in Mechanical Engineering (JCARME), vol. 3, 2013, pp. 13-25.

Jadvani, N., Dhiraj, V. S., Joshi, S., and Kalita, K., "Non-Dimensional Stress Analysis of Orthotropic Laminates," Materials Focus, vol. 6, 2017, pp. 63-71.

Chaloner, K. and Verdinelli, I., "Bayesian experimental design: A review," Statistical Science, 1995, pp. 273-304.

Atkinson, A. C., "Optimal Experimental Design," in International Encyclopedia of the Social & Behavioral Sciences (Second Edition), J. D. Wright, Ed., ed Oxford: Elsevier, 2015, pp. 256-262.

Graciano, C. and Mendes, J., "Elastic buckling of longitudinally stiffened patch loaded plate girders using factorial design," Journal of Constructional Steel Research, vol. 100, 2014, pp. 229-236.

Mason, R. L., Gunst, R. F., and Hess, J. L., Statistical design and analysis of experiments: with applications to engineering and science vol. 474: John Wiley & Sons, 2003.


  • There are currently no refbacks.

Address: Mechanical Engineering Department, Majlesi Branch, Islamic Azad University, Isfahan, Iran. Postal Code: 8631656451

Tel: (+98)31-52472290 ext. 212 - Email:

All Rights Reserved. © 2007-2015 Islamic Azad University, Majlesi Branch.

Powered by Taba Web