Evaluation and analysis of the stress concentration factor reduction techniques on perforated plates using finite element method

Mohammad ARYARAD, Mahamood HESHMATI
1.693 599


So far, researchers have used several methods to calculate stress concentration factors. Such methods are categorized into three groups including analytical, numerical and experimental. Analytical methods are generally employed for very easy and non-complicated problem while numerical methods can be used for different and complicated geometries without considering time and cost limitations. In present study, stress concentration factors calculation was carried out in perforated plates under tensile loading using finite elements numerical method. Ultimately, some solutions were assessed and presented to reduce and optimize these factors and some economic and practical concepts were offered based on numerical analyses and modeling. In these structures, stress concentration can be decreased by such actions as material change, thickness change and the shells with variable thickness so that impact of the mentioned parameters were analyzed and assessed here in details. By an assessment on different methods of stress concentration reduction, the optimal method for stress concentration reduction was presented in perforated plates under tensile.

Full Text:



C.E. Inglis, “Stresses in a plate due to the presence of cracks and sharp corners”, Proc

Inst Naval Arch 55, (1913), pp.219-230. A.A. Griffith, “The Phenomena of Rupture and flow in Slolids”, Transactions, Royal Society of London, A-221, (1920). G.R. Irwin, “Plastic Zone near a Crack and Fracture Toughness”, Proc. 7th Sagamore Conf., p. IV, (1961), pp.63.

C.F. Shih and J.W. Hutchinson, “Fuly Plastic Solutions and Large Scale Yielding

Estimate for Plane Stress Crack Problems”, J. Eng. Mat. & Tech., vol.98, (1976), pp. 289-295.

H.M. Westergard, “Bearing pressure and cracks”, J.App.Mech., vol.61, (1939), pp. 49-53.

M.L.Williams, “The stress distribution at base of a stationary crack”, Journal of

Applied Mechanics, vol.24, (1957), pp. 109-114.

C.E. Fedderson, Discussion, ASTM STP 410, (1967), pp.77-79 [8] Buchner

B.N. Rao and S.Rahman, “A coupled meshless –finite element method for fracture analysis of cracks”, international journal of pressure and vessels and piping, vol.78, (2001), pp.647-657.

B.N. Rao and S. Rahman, “Mesh –free Analysis of cracks in isotropic functionally

P.Manogg, “Die lichtablenkung druch eina elastich beanspruchte plate und die

schatten figuren von kreis und risskerbe”, claste-chniche berichte, vol.39 (1966), pp. 323

P.S. Theocaris, “Local yielding around a crack tip in pixel-glass”, Journal of Applied

Mechanics, vol.37, (1970), pp. 409-411.

J.N. Prassianakis and P.S. Theocaris, “Stress concentration factors at V-notched

elastic symmetrically loaded plates by the method of caustic”, Applied physics, vol. 13, (1980), pp. 1043-1053.

N.T. Younis and J.N. Libii, “determination of

 by using a least squares andk  k

method with caustics”, Engineering Fracture Mechanics, vol .42, (1992), pp. 629- 641.

G.A. and D. “The non-linear solution of the mixed-mode caustics in birefringent

materials” , , vol. 119, (2003), pp. 35-40.

J.W. Dally and W.E. Riley, “Experimental stress analysis”, 3 rd ed. ISBN 0-07

015218-1, McGraw-Hill, 1991.

R.W. Dixon, “Photoelastic properties of selected materials and their relevance for

applications to acoustic light modulators and scanners”, Jourbal of Applied Physics, vol. 38, (1967). G.R. Irwin, “Proceeding of Society of Experimental Stress Analysis”, vol .16, No. 1, (1958), pp. 93-96. J.R. Dixon and J.S. Stranningon, “Stress distribution and buckling in thin sheets with central slits”, Proceedings of second international conference on fracture, Brighton, (1969).

N ,Soltani and M,Behroozi and “The effects of changes ofThe edge cracks on stress

concentration factors using an experimental method of photoelasticity " Journal of Mashhad University Faculty of Engineering (1996).

A. S. G. and B.“The influence of the quarter wave plates in automated

photoelasticity”, , vol .38, (2002), pp. 31-56.

M.R. Ayatollahi and A. Nejati, “Experimental evaluation of stress field around the

sharp notches using photoelasticity”, Journal of Material & Design, vol. 32, No. 2, (2011), pp. 561-569. J. Rhee, “Hybrid Moire numerical stress analysis around cutouts in loaded composites”, Journal of Experimental Mechanics, vol.36, no.4, (1996), pp. 379-387.

J.A. Leendertz and J.N. Butters, “An image – sharing speckle – pattern interferometer

H .Sanati and N Soltani “Determining coefficients of stress concentration Stress

cracks in the pointed ears using Tomographic methods” MS Project, Technical Faculty of Tehran University, Tehran, (2010).