Stress intensity factor at the hole-edge cracks tips in a finite plate

Document Type : English


Islamic Azad University, Mashhad Branch


In the current research work, the problem of fracture mechanics in a plate with a central hole under tensile loading is studied. The stress intensity factors are calculated for a finite plate containing two symmetrical hole-edge cracks. The problem is solved by two different methods, namely the finite element method and the FRANC software analysis. At first the finite element method is used and by writing a program in MATLAB software the stress intensity factors at the crack tips are calculated. The same problem is then reanalyzed with the Franc software and the results are compared. The effects of various factors such as the hole diameter, crack length and crack angle have been investigated on stress intensity factors. The results show that for small crack lengths, the effect of cracks length is more than that of the hole diameter on variation of normalized stress intensity factors, while it is the opposite for large crack lengths, the effect of hole diameter is more than that of the cracks length on variation of normalized stress intensity factors.


[1]     X. Yan, “A numerical analysis of cracks emanating from an elliptical hole in 2-D plate,” The J. of Mech.  Res. Vol. 25, pp. 142-153, 2005.
[2]     A. Cirello, F. Furgiuele, C. Mletta, A. Pasta, “Numerical simulation and experimental measurements of the stress intensity in perforated plates,” J. of Eng. Frac. Mech. Res. Vol. 75, pp. 4383-4393, 2008.
[3]     T.N. Chakherlou, B. Abazadeh, J. Vogwell, “The effect of bolt clamping force on the fracture strength and the stress intensity factor of a plate containing a fastener hole with edge cracks,” J. of Eng. Failare Analysis  Res. Vol. 16, pp. 242-253, 2009.
[4]     J. Zhao, L. Xie, J. Liu, Q. Zhao,  “A method for stress intensity factor clacuation of infinite plate containing multiple hole-edge craks,”  Int. J. of Fatigue Res. Vol. 35, pp. 2-9, 2012.
[5]     M.R. Torshizian, M. Molazem, “Stress intensity factor in single cracked gears made of steel and functionally graded material in vehicle gearbox,” J. of Eng. Res. Vol. 29, pp.  47-56, 2013.
[6]     M.R. Torshizian, M.H. Kargarnovin, “The mixed mode fracture mechanics analysis of an embedded arbitrary oriented crack in two dimensional functionally graded material plate,” Arch. Appl. Mech., vol. 84, pp. 625-637, 2014.
[7]     R. Evans, A. Clarke, R. Gravina, M. Heller, R. Stewart, “Improved stress intensity factor for selected configurations in cracked plates,” J. of Eng. Frac. Mech. Res. Vol. 127, pp. 296-312, 2014.
[8]     M.R. Torshizian, “Analysis of mode III fraction in functionally graded plate with linearly varying properties,” J. of Solid Mech., vol. 6 pp. 299-309 , 2014.
[9]     M.R. Torshizian, H. Andarzjoo,“The mixed mode fracture mechanics in a hole plate bonded with two dissimilar plane,” J. Solid Mech. in Engine., vol. 95 pp. 271-380, 2017.
[10] N.E. Dowling, “Mechanical Behavior of Materials engineering methods for deformation fracture and fatigue,” Prentice Hall. Englewood Cliffs 2014.
[11] S. Mohammadi, “Extended Finite Element Method for Fracture Analysis of Structures,” Blackwell Publishing 2008.