Study of The Effect of Hole Location on Stress Analysis of a Plate Subjected to Uni-axial Load by Using Numerical and Exact Solution

Document Type : Persian

Authors

1 MSc Student, Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran

2 Assistant Prof., Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran

Abstract

In the present study, stress analysis and explicit solution of rectangular plate with arbitrarily located circular hole, subjected to linear normal stresses on two opposite edges, has been investigated. Airy function and hoop stresses occurring at the edge of the circular have been computed. In this method 2D dimension elasticity and Airy stress function was used. The present method for explicit solution and finding airy stress function are stronger and simpler than prior methods. By using Stress function, the stress distribution around circular hole were calculated. By using obtained airy stress relation the stress distribution around the circle was obtained, plotted and compared with distribution of stress (computed by finite element method in Abaqus). This comparison shows the accuracy of this solution method. It has been observed that stress distribution of stress function is independent from hole location and only depends on the hole's size.

References

[1] Zhong H,YuT., A weak form quadrature element method for plane elasticity problems, Applied Mathematics Modeling, Vol. 33,2009,pp. 3801–3814.
[2] ZhangT., LiuT.G., ZhaoY., LiuJ.X., Analysis of stress field of finite plates weakened by holes,Journal of Huazhong University Science Technology,Vol. 30, 2002, pp.87–89.
[3] LiQ., ShenS., HanZ.D., AtluriS.N., Application of Meshless Local Petrov-Galerkin (MLPG) to Problems with Singularities, and Material Discontinuities, in 3-D Elasticity CMES, Computer Modeling inEngineeringand Sciences,Vol. 4, No. 5, 2003,pp.571–586.
[4] Cheng B., ZhaoJ., Strengthening of perforated plates under uniaxial comperssion buckling analysis, Thin-Walled Structures, Vol. 48, 2010, pp.905–914.
[5] ZappalortoM., LazzarinP., Three-dimensional elastic stress fields ahead of notchesin thick plates under various loading conditions, Engineering Fracture Mechanics, Vol. 108, 2013, pp. 75–88.
[6] EmanueleM., CarloP., ClaudioM., Elastic stability of plates with circular and rectangular holes subjected to axial compression and bending moment, Thin-Walled Structure, Vol. 74, 2009, pp.241–255.
[7] Viola E., Tornabene F., Ferretti E., Fantuzzi N., Soft core plane state structures under static loads using GDQFEM and cell method, Computer Modeling in Engineeringand Sciences,Vol. 94, No.4, 2013, pp.301-329.
[8] Li-ShengW., Fu. A., first course in elasticity, The Ohio State University,1996,205, pp.205–209. (From class notes of Professor J.Dundurs of Northwestern University, Evanston).
[9] Li Y., Fantuzzi N., Tornabene F., On mixed mode crack initiation and direction in shafts: strain energy density factor and maximum tangential stress criteria,Engineer Fracture Mechanics,Vol. 109, 2013, pp. 273–289.
[10] Viola E., Tornabene F., Ferretti E., Fantuzzi N., On staticanalysis of composite plane state structures via GDQFEM and cell method, Computer Modeling in Engineeringand Sciences,Vol. 94, No.5, 2013, pp.421–58.
[11] Viola E, Tornabene F, Ferretti E, Fantuzzi N, GDQFEM numerical simulations of, continuous media with cracks and discontinuities, Computer Modeling in Engineeringand Sciences,Vol. 94, No.4, 2013, pp.331–369.
 
 
 
 
 
Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering
Volume 7, Issue 3 - Serial Number 3
November 2014
Pages 65-72

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