ORIGINAL PAPER
Investigation of Stress Concentration Factors in Countersunk Holes of Biaxially Loaded Isotropic Plates
 
More details
Hide details
1
Mechanical Engineering Department, Hashemite University, Jordan
 
 
Submission date: 2024-06-09
 
 
Final revision date: 2024-08-10
 
 
Acceptance date: 2024-12-17
 
 
Online publication date: 2025-03-06
 
 
Publication date: 2025-03-06
 
 
Corresponding author
Abdullah A. Jabri   

Mechanical Engineering Department, Hashemite University, Zarqa, Jordan
 
 
International Journal of Applied Mechanics and Engineering 2025;30(1):79-88
 
KEYWORDS
TOPICS
ABSTRACT
This study employs finite element analysis (FEA) and response surface methodology (RSM) to analyze the stress concentration factor (SCF) in a biaxially loaded isotropic plate with a central countersunk hole. A finite element model is built using ANSY and employed to generate stress concentration factor values. The finite element model was optimized in terms of mesh density and properties based on data from past literature. Five dimensionless parameters are studied: radius to width ratio, thickness to radius ratio, countersink to thickness ratio, σ_y to σ_x ratio and countersink angle. The effect of the different configurations was studied using RSM. Finally, a precise second order equation was produced to estimate the value of SCF with dimensionless parameters.
REFERENCES (26)
1.
Pilkey W.D., Pilkey D.F. and Bi Z.(2020): Peterson’s Stress Concentration Factors. Fourth edition.– Hoboken, NJ: John Wiley & Sons, Inc.
 
2.
Shivakumar K.N. and Newman J.C. (1995): Stress concentration equations for straight-shank and countersunk holes in plates.– Journal of Applied Mechanics, vol.62, pp.248-249.
 
3.
Wu H.-C. and Mu B. (2003): On stress concentrations for isotropic/orthotropic plates and cylinders with a circular hole.– Composites Part B: Engineering, vol.34, pp.127-134.
 
4.
Kotousov A. and Wang C.H. (2002): Three-dimensional stress constraint in an elastic plate with a notch.– International Journal of Solids and Structures, vol.39, pp.4311-4326.
 
5.
Li Z., Guo W. and Kuang Z. (2000): Three-dimensional elastic stress fields near notches in finite thickness plates.– International Journal of Solids and Structures, vol.37, pp.7617-7632.
 
6.
She C. and Guo W. (2007): Three-dimensional stress concentrations at elliptic holes in elastic isotropic plates subjected to tensile stress.– International Journal of Fatigue, vol.29, pp.330-335.
 
7.
Enab T.A. (2014): Stress concentration analysis in functionally graded plates with elliptic holes under biaxial loadings.– Ain Shams Engineering Journal, vol.5, pp.839-850.
 
8.
Kumar A., Agrawal A., Ghadai R. and Kalita K. (2016): Analysis of stress concentration in orthotropic laminates.– Procedia Technology, vol.23, pp.156-162.
 
9.
Jadvani N., Dhiraj V.S., Joshi S. and Kalita K. (2017): Non-dimensional stress analysis of orthotropic laminates.– Materials Focus, vol.6, pp.63-71.
 
10.
Zhou Y. and Fei Q. (2017): Evaluation of opening-hole shapes for rivet connection of a composite plate.– Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol.231, pp.3810-3817.
 
11.
Kumar S.A., Rajesh R. and Pugazhendhi S. (2020): A review of stress concentration studies on fibre composite panels with holes/cutouts.– Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, vol.234, pp.1461-1472.
 
12.
Whaley R.E. (1965): Stress-concentration factors for countersunk holes: Method described by the author is based upon the knowledge of the elastic stress-concentration factor of a similar but simple plain-hole configuration.– Experimental Mechanics, vol.5, pp.257-261.
 
13.
Cheng Y.F. (1978): Stress-concentration factors for a countersunk hole in a flat bar in tension and transverse bending.– Journal of Applied Mechanics, vol.45, pp.929-932.
 
14.
Shivakumar K.N., Bhargava A. and Newman J.C. (2007): A tensile stress concentration equation for countersunk holes.– Journal of Aircraft, vol.44, pp.194-200.
 
15.
Bhargava A. and Shivakumar K.N. (2008): A three‐dimensional strain concentration equation for countersunk holes.– The Journal of Strain Analysis for Engineering Design, vol.43, pp.75-85.
 
16.
Bhargava A. and Shivakumar K.N. (2007): Three-dimensional tensile stress concentration in countersunk rivet holes.– The Aeronautical Journal, vol.111, pp.777-786.
 
17.
Darwish F., Gharaibeh M. and Tashtoush G. (2012): A modified equation for the stress concentration factor in countersunk holes.– European Journal of Mechanics - A/Solids, vol.36, pp.94-103.
 
18.
Darwish F., Tashtoush G. and Gharaibeh M. (2013): Stress concentration analysis for countersunk rivet holes in orthotropic plates.– European Journal of Mechanics - A/Solids, vol.37, pp.69-78.
 
19.
Gharaibeh M.A. (2020): A study on the stress concentration factor induced in double countersunk holes due to uniaxial tension.– International Journal of Applied Mechanics and Engineering, vol.25, pp.59-68.
 
20.
Gharaibeh M.A., Tlilan H. and Gharaibeh B.M. (2021): Stress concentration factor analysis of countersunk holes using finite element analysis and response surface methodology.– Australian Journal of Mechanical Engineering, vol.19, pp.30-38.
 
21.
Bhargava A. and Shivakumar K.N. (2008): A three‐dimensional strain concentration equation for countersunk holes.– The Journal of Strain Analysis for Engineering Design, pp.75-85.
 
22.
Hayajneh M., Darwish F.H. and Alshyyab A. (2014): A modelling strategy and strain concentration analysis for a countersunk hole in an orthotropic plate.– International Journal of Design Engineering, vol.5, pp.175-192.
 
23.
Jreissat M. and Gharaibeh M.A. (2021): Analysis and optimization of the strain concentration factor in countersunk rivet holes via finite element and response surface methods.– Multidiscipline Modeling in Materials and Structures, vol.17, pp.537-551.
 
24.
Gharaibeh M.A. (2022): A high-accuracy empirical formula for the strain concentration factor in countersunk holes.– Mathematical Modelling of Engineering Problems, vol.9, No.3, p.591.
 
25.
Gharaibeh M.A. (2023): Analysis, formulation, and optimization of the strain concentration factor in double countersunk holes due to uniaxial tension.– Australian Journal of Mechanical Engineering, vol.21, pp.384-392.
 
26.
Alshyyab A.S. and Darwish F.H. (2018): Three-dimensional stress analysis around rivet holes in a plate subjected to biaxial loading.– Jordan Journal of Mechanical & Industrial Engineering, vol.12, pp.233-242.
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top