ORIGINAL PAPER
Strain-Concentration Factor of Internally Pressurized Thick-Walled Cylinders
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Department of Mechanical Engineering, Faculty of Engineering, The Hashemite University (HU), Zarqa, 13115, Jordan
 
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Department of Bio-Medical Engineering, Faculty of Engineering, The Hashemite University (HU), Zarqa, 13115, Jordan
 
 
Online publication date: 2019-03-12
 
 
Publication date: 2019-03-01
 
 
International Journal of Applied Mechanics and Engineering 2019;24(1):143-159
 
KEYWORDS
ABSTRACT
This study introduces a new definition of the strain-concentration factor (SNCF) of thick walled internally pressurized cylinders. The stress state has been considered in this new definition; i.e. triaxial and biaxial stress states for closed and open ends, respectively. Primarily, the curvature effect of the strain concentration has been studied here. To this end, the inner radius of the employed cylinders has been changed from 0.5 to 50.8 mm. On the other hand, the thickness has been kept constant at 16.7 mm. Moreover, the thickness has been fragmented to 37 elements to study the thickness effect for each case. The results show that the tangential (hoop) strain regularly spread over the whole thickness. It has been revealed that the maximum value of the tangential strain occurs on the inner surface of the cylinder. In particular, it rapidly decreases from a maximum value on the inner surface to reach its minimum value on the outer surface, which is nearly equal to the average value of hoop strain through the thickness. The results also demonstrate that tangential strain values decrease with the increase of the inner radius for any thickness. It is clear that the rate of decrease of the hoop strain changes abruptly with decreasing the inner radius of the cylinder. This led to localization of the strain concentration on the inner surface of the cylinder due to curvature, making the values of the strain concentration factor very high on the inner surface of the cylinder. In addition, the strain concentration factor decreases through the thickness of the cylinder from the inner to outer surfaces, and the rate of the decrease is increasing with a decreasing inner radius of the cylinder. The current results introduce the serious effect of the curvature on the strain concentration even if there are no irregularities in the cylinder.
 
REFERENCES (27)
1.
Hill R. (1950): The mathematical theory of plasticity. – Oxford: Clarendon Press.
 
2.
Nadai A. (1950): Theory of flow and fracture of solids. – New York: McGraw Hill.
 
3.
Kaufman A. and Spera D. (1965): Investigation of the elastic-plastic stress state around reinforced opening in a spherical shell. – NASA Scientific and Technical Publications, pp.1-27.
 
4.
Calladine C.R. (1966): On the design of reinforcement for openings and nozzles in thin spherical pressure vessels. – Journal Mechanical Engineering Science, vol.8, pp.1-14.
 
5.
Bapu Rao M.N. and Murthy M.V.V. (1971): On the stresses in the vicinity of an elliptic hole in a cylindrical shell under torsional loading. – Nuclear Engineering and Design, vol.16, pp.309-321.
 
6.
Iyer M.S. (1975): Analysis of a pressure vessel junction by the finite element method. – Texas Tech University, pp.1-159.
 
7.
Durban D. and Kubi M. (1992): A general solution for the pressurized elastoplastic tubes. – ASME J. Appl. Mech., vol.59, pp.20–26.
 
8.
Kihiul J.M. and Masu L.M. (1995): The effect of chamfer and size on the stress distributions in a thick-walled cylinder with a cross bore under internal pressure. – R and D Journal, pp.73-78.
 
9.
Magnucki K., Szyc W. and Lewiński J. (2002): Minimization of stress concentration factor in cylindrical pressure vessels with ellipsoidal heads. – Int. J. Pressure Vessels and Piping, vol.79, pp.841–846.
 
10.
Schindler S. (2003): Stress concentration factors of nozzle–sphere connections. – Int. J. Pressure Vessels and Piping, vol.80, pp.87–95.
 
11.
Fuad Kh. (2007): Stress Concentration Factors of Various Adjacent Holes Configurations in a Spherical Pressure Vessel. – ACAM.
 
12.
Snowberger D. (2008): Stress concentration factor convergence comparison study of a flat plate under elastic loading conditions. – Rensselaer Polytechnic Institute Hartford, Connecticut December.
 
13.
Jahed H. and Dubey R.N. (1997): An axisymmetric method of elastic- plastic analysis capable of predicting residual stress field. – ASME J. Pressure Vessel Technol., vol.119, pp.264–273.
 
14.
Dubey R.N., Seshadri R. and Bedi S. (2000): Analysis of Thick Elastic - Plastic Cylinders. – Plasticity Conference in Whistler, B.C., Canada.
 
15.
Parker A.P. (2001): Autofrettage of open end tubes-pressures, stresses, strains and code comparisons. – ASME J. Pressure Vessel Technol., vol.123, pp.271–281.
 
16.
Zhao W., Dubey R.N. and Seshadri R. (2001): A simplified method for estimating residual stresses fields in elasticplastic thick-walled cylinder subjected to high internal pressure. – 18th Canadian Congress of Applied Mechanics, pp.325-326.
 
17.
Makulsawatudom P., Mackenzie D. and Hamilton R. (2004): Stress concentration at crossholes in thick cylindrical vessels. – The J. of Strain Analysis for Engg. Design., vol.39, pp.471-481.
 
18.
You-Hong Liu (2004): Limit pressure and design criterion of cylindrical pressure vessels with nozzles. – Int. J. of Pressure Vessels and Piping, vol.81, pp.619–624.
 
19.
De Carvalho E.A. (2005): Stress concentration factors for an internally pressurized circular vessel containing a radial U-Notch. – Int. J. of Pressure Vessels and Piping, vol.82, pp.517–521.
 
20.
Kihiu J.M. (2007): Universal SCFs and optimal chamfering in cross-bored cylinders. – Int. J. of Pressure Vessels and Piping, vol.84, pp.396–404.
 
21.
Quider M. (2009): SCF analysis of a pressurized vessel-nozzle intersection with wall thining damage. – Int. J. of Pressure Vessels and Piping, vol.86, pp.541-549.
 
22.
Chakrabarty J. (1987): Theory of Plasticity. – New York: McGraw-Hill.
 
23.
Gao X.–L. (1992): An exact elasto-plastic solution for an open–ended thick-walled cylinder of a strain–hardening material. – Int. J. of Pressure Vessels and Piping, vol.52, pp.129–144.
 
24.
Gao X.–L. (2003): Strain gradient plasticity solution for an internally pressurized thick - walled spherical shell of an elastic - plastic material. – Mech. Research Communication, vol.30, pp.411–420.
 
25.
Gao X.–L. (2003): Elasto-plastic analysis of an internally pressurized thick walled cylinder using a strain gradient plasticity theory. – Int. J. of Solid and Structures, vol.40, pp.6445–6455.
 
26.
Kharat A. and Kulkarni V.V. (2013): Stress concentration at openings in pressure vessels – a review. – Int. J. of Innovative Research in Science, Engineering and Technology, vol.2, pp.670-678.
 
27.
Kharat A.R., Kamble S.B., Patil A.V. and Burse I.D. (2016): comparative study of different approaches to estimate SCF in pressure vessel opening. – Int. J. of Mechanical Engineering and Technology (IJMET), vol.7, pp.142-155.
 
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ISSN:1734-4492
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