Effect of Crack Length on Stresses in a Plate with a Hole


  • Thaker Saleh Dawood Dept. of Basic Sciences, College of Agricultural Engineering Sciences, University of Duhok, Kurdistan Region-Iraq.
  • Younis Khalid Khdir Department of Mechanical and Energy, Erbil Technology Engineering College, Erbil Polytechnic University, Kurdistan Region - Iraq




Stress Intensity Factor, Crack Length, Plate, Hole, Finite Element Method


The field of mechanics concerned with studying the propagation of cracks in materials is Fracture Mechanics. Technology systems are meant to withstand the loads to which they are likely to be exposed when in use. Material imperfections arising at the time of production or use of the material are, however, unavoidable and must therefore be taken into account. A stress intensity factor is a fracture parameter that defines the part failure. This paper study’s the effect of cracks on the stresses of rectangular plates having a hole in the center. The plate was subjected to tensile pressure at the top side while maintaining the bottom side fixed. The plate had four cracks distributed around the centered hole at 45o at each side. The effect of the length of the cracks on the resulted stresses and strains was investigated. Also, the effect of the position of the crack on the resulted stresses and strains was studied. Finite element models for the different plate cases were built using ANSYS software. The results showed that increasing the crack length resulted to increase the stresses and strains. The dimension of the plate width, height and thickness were 150 mm, 300 mm and 1 mm respectively, and the crack position was investigated for different crack lengths (5, 10, 15, 20, 25 mm) however the results were not steady as it looks that the crack lengths have changed the stress distribution over the plate.


Download data is not yet available.


K. D. Kumar, B. Ashish, and B. Vinod, "Evaluation of tensile properties of hybrid kevlar-glass reinforced epoxy composite for multi holes configuration," Materials Today: Proceedings, vol. 44, pp. 1065-1070, 2021.

G. Mekalke, M. Kavade, and S. Deshpande, "Analysis of a plate with a circular hole by FEM," Journal of Mechanical and Civil Engineering, pp. 25-30, 2012.

P. Gujar and K. Ladhane, "Bending analysis of simply supported and clamped circular plate," International Journal of Civil Engineering, vol. 2, no. 5, pp. 69-75, 2015.

S. Dhanjal and R. Arora, "Stress analysis of a rectangular plate with circular hole using three dimensional finite element model," International Journal of Engineering, Business and Enterprise Applications (IJEBEA), vol. 12, no. 1, pp. 77-80, 2015.

S. CHORFI and B. NECIB, "Crack propagation analysis around the holes in the plates under the effect of external stresses using the finite element model," 2016.

D. Jiang, Q.-H. Luo, W. Liu, and Y.-T. Zhou, "Thermoelectric field disturbed by two unequal cracks adjacent to a hole in thermoelectric materials," Engineering Fracture Mechanics, vol. 235, p. 107163, 2020.

O. L. Bowie, "Rectangular tensile sheet with symmetric edge cracks," 1964.

H. K. Kutter, "Stress analysis of a pressurized circular hole with radial cracks in an infinite elastic plate," International Journal of Fracture Mechanics, vol. 6, no. 3, pp. 233-247, 1970.

P. Weißgraeber, J. Felger, D. Geipel, and W. Becker, "Cracks at elliptical holes: stress intensity factor and finite fracture mechanics solution," European Journal of Mechanics-A/Solids, vol. 55, pp. 192-198, 2016.

W. Yi, Q.-h. Rao, S. Luo, Q.-q. Shen, and Z. Li, "A new integral equation method for calculating interacting stress intensity factor of multiple crack-hole problem," Theoretical and Applied Fracture Mechanics, vol. 107, p. 102535, 2020.

T. Chen, J. Yao, R. Liu, and L. Li, "Fatigue behavior of steel plates with multi-holes repaired by CFRP," Composite Structures, vol. 242, p. 112163, 2020.

G. Wu, C. Aird, and M. Pavier, "The effect of residual stress on a centre-cracked plate under uniaxial loading," International Journal of Fracture, vol. 219, no. 1, pp. 101-121, 2019.

V. N. S. K. J. Parimi and V. Eluri, "Stress Analysis of Different Shaped Holes on a Packaging Material," ed, 2016.

W. T. Kern, W. Kim, A. Argento, E. C. Lee, and D. F. Mielewski, "Finite element analysis and microscopy of natural fiber composites containing microcellular voids," Materials & Design, vol. 106, pp. 285-294, 2016.

A. S. Shaik and I. M. Mirzana, "Stress concentration of rectangular plate with a hole made with composite material using finite element analysis," IOSR J Mech Civil Eng, vol. 13, no. 4, pp. 2278-1684, 2016.

Y.-K. Khdir, T. Kanit, F. Zaïri, and M. Naït-Abdelaziz, "A computational homogenization of random porous media: Effect of void shape and void content on the overall yield surface," European Journal of Mechanics-A/Solids, vol. 49, pp. 137-145, 2015.

Y.-K. Khdir, T. Kanit, F. Zaïri, and M. Naït-Abdelaziz, "Computational homogenization of plastic porous media with two populations of voids," Materials Science and Engineering: A, vol. 597, pp. 324-330, 2014.

Y. Khdir, T. Kanit, F. Zaïri, and M. Naït-Abdelaziz, "Computational homogenization of elastic–plastic composites," International journal of solids and structures, vol. 50, no. 18, pp. 2829-2835, 2013.



03-04-2022 — Updated on 08-04-2022

How to Cite

Dawood, T. S., & Khdir, Y. K. (2022). Effect of Crack Length on Stresses in a Plate with a Hole. Al-Nahrain Journal for Engineering Sciences, 25(1), 28–34. https://doi.org/10.29194/NJES.25010028