{"title":"Analysis of Stress Concentration and Deflectionin Isotropic and Orthotropic Rectangular Plates with Central Circular Hole under Transverse Static Loading","authors":"Nitin Kumar Jain","volume":36,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":1513,"pagesEnd":1520,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/250","abstract":"The distributions of stresses and deflection in\r\nrectangular isotropic and orthotropic plates with central\r\ncircular hole under transverse static loading have been studied\r\nusing finite element method. The aim of author is to analyze\r\nthe effect of D\/A ratio (where D is hole diameter and A is plate\r\nwidth) upon stress concentration factor (SCF) and deflection\r\nin isotropic and orthotropic plates under transverse static\r\nloading. The D\/A ratio is varied from 0.01 to 0.9. The analysis\r\nis done for plates of isotropic and two different orthotropic\r\nmaterials. The results are obtained for three different boundary\r\nconditions. The variations of SCF and deflection with respect\r\nto D\/A ratio are presented in graphical form and discussed.\r\nThe finite element formulation is carried out in the analysis\r\nsection of the ANSYS package.","references":"[1] T. K. Paul, and K. M. Rao, \"Stress analysis in circular holes in FRP\r\nlaminates under transverse load,\" Computers & Structures, vol. 33(4),\r\npp. 929-935, 1989.\r\n[2] T. K. Paul, and K. M. Rao, \"Finite element evaluation of stress\r\nconcentration factor of thick laminated plates under transverse loading,\"\r\nComputers & Structures, vol. 48(2), pp. 311-317, 1993.\r\n[3] B. P. Shastry, and G. V. Raj \"Effect of fibre orientation on stress\r\nconcentration in a unidirectional tensile laminate of finite width with a\r\ncentral circular hole,\" Fibre Science and Technology, vol. 10, pp. 151-\r\n154, 1997.\r\n[4] X. Xiwu, S. Liangxin, and F. Xuqi, \"Stress concentration of finite\r\ncomposite laminates with elliptical hole,\" Computers & Structures, vol.\r\n57(1), pp. 29-34, 1995.\r\n[5] X. Xiwu, S. Liangxin, and F. Xuqi, \"Stress concentration of finite\r\ncomposite laminates weakened by multiple elliptical holes,\"\r\nInternational Journal of Solids Structures, vol. 32(20), pp. 3001-3014,\r\n1995.\r\n[6] T. Iwaki, \"Stress concentrations in a plate with two unequal circular\r\nholes,\" International Journal of Engineering Sciences, vol. 18(8), pp.\r\n1077-1090, 1980.\r\n[7] V. G. Ukadgaonker, and D. K. N. Rao, \"A general solution for stress\r\naround holes in symmetric laminates under in-plane loading,\"\r\nComposite Structure, vol. 49, pp. 339-354, 2000.\r\n[8] K. Ting, K. T. Chen, and W. S. Yang, \"Stress analysis of the multiple\r\ncircular holes with the rhombic array using alternating method,\"\r\nInternational Journal of Pressure Vessels and Piping , vol. 76, pp. 503-\r\n514, 1999.\r\n[9] R. A. Chaudhuri, \"Stress concentration around a part through hole\r\nweakening laminated plate,\" Computers & Structures, vol. 27(5), pp.\r\n601-609, 1987.\r\n[10] H. Mahiou, and A. Bekaou, \"Local stress concentration and the\r\nprediction of tensile failure in unidirectional composites,\" Composites\r\nScience and Technology, vol. 57, pp. 1661-1672, 1997.\r\n[11] L. Toubal, M. Karama, and B. Lorrain, \"Stress concentration in a\r\ncircular hole in composite plate,\" Composite Structures, vol. 68, pp. 31-\r\n36, 2005.\r\n[12] N. T. Younis, \"Assembly stress for the reduction of stress\r\nconcentration,\" Mechanics Research Communications, vol. 33, pp. 837-\r\n845\r\n[13] G. B. Sinclair, \"On the effect on stress concentration of rounding the\r\nedge of a hole through plate,\" International Journal of Mechanical\r\nSciences, vol. 22(12), pp. 731-734, 1980.\r\n[14] N. Troyani, C. Gomes, and G. Sterlacci, \"Theoretical stress\r\nconcentration factors for short rectangular plates with centred circular\r\nholes,\" Journal of Mechanical Design, ASME, vol. 124, pp. 126-128,\r\n2002.\r\n[15] M. Fillipini, \"Stress Gradient calculations at notches,\" International\r\nJournal of Fatigue, vol. 22(5), pp. 397-409, 2000.\r\n[16] R. E. Peterson, \"Stress concentration design factors,\" New York: John\r\nWiley and Sons, 1966.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 36, 2009"}