THREE DIMENSIONAL ANALYSIS OF RECTANGULAR PLATE WITH HOLE UNDER IN PLANE LOADING CONDITIONS FOR BOTH ISOTROPIC AND ORTHOTROPIC MATERIAL UNDER VARYING PARAMETRIC CONDITIONS
Keywords:
Finite Element Method, Stress Concentration Factor, Composites, Transverse Loading, Deflection, Elastic ConstantsAbstract
In this work, in-plane stress concentration factor (SCF)for a rectangular isotropic plate with a hole under in plane loading conditions is investigated. The influence of the various geometric parameters like diameter-to-width (D/A) and thickness-to-width (T/A) ratios on SCF is carried out. SCF for various stresses along x, y and z direction including von mises stresses is being evaluated under varying parametric conditions. All results are presented in graphical form and discussed. The work is further extended for five different composite materials also, so that variation of SCF for varying elastic constants can easily be studied.Based on the result, it is concluded that in-plane loading conditions remains no morea two dimensional problem instead it’s a three dimensional problem.
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References
Paul T K and Rao K M ( 1989), “Stress analysis in circular holes in FRP laminates under transverse load”, Computers & Structures, Vol. 33(4), 929-935.
Paul T K and Rao K M (1993), “Finite element evaluation of stress concentration factor of thick laminated plates under transverse loading”, Computers & Structures, Vol. 48(2) 311-317.
Shastry B P and Raj G V (1997), “Effect of fibre orientation on stress concentration in a unidirectional tensile laminate of finite width with a central circular hole”, Fibre Science and Technology, Vol. 10, 151-154,.
Xiwu X, Liangxin S and Xuqi F (1995), “Stress concentration of finite composite laminates with elliptical hole”, Computers & Structures, Vol. 57(1), 29-34,.
Xiwu X, Liangxin S and Xuqi F (1995), “Stress concentration of finite composite laminates weakened by multiple elliptical holes”, International Journal of Solids Structures, Vol. 32(20), 3001-3014.
Iwaki T (1980), “Stress concentrations in a plate with two unequal circular holes”, International Journal of Engineering Sciences, Vol. 18(8), 1077-1090,.
Ukadgaonker V G and Rao D K N (2000), “A general solution for stress around holes in symmetric laminates under in-plane loading”, Composite Structure, Vol. 49, 339-354.
Ting K, Chen K T and Yang W S (1999), “Stress analysis of the multiple circular holes with the rhombic array using alternating method”, International Journal of Pressure Vessels and Piping, Vol. 76, 503-514.
Chaudhuri R A (1987), “Stress concentration around a part through hole weakening laminated plate”, Computers & Structures, Vol. 7(5), 601-609,.
Peterson R E (1966), Stress concentration design factors, New York: John Wiley and Sons.
Troyani N, Gomes C and Sterlacci G (2002), “Theoretical stress concentration factors for short rectangular plates with centered circular holes”, Journal of Mechanical Design, ASME, Vol. 124, 126-128.
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, 4311-4326.
Toubal L, Karama M and Lorrain B (2005), “Stress concentration in a circular hole in composite plate”, Composite Structures, Vol. 68, 31-36.
Ukadgaonker V G and Kakhandki V (2005), “Stress analysis for an orthotropic plate with an irregular shaped hole for different in-plane loading conditions—Part 1”, Composite Structures, Vol. 70, 255-274.
Gruber B, Hufenbach W, Kroll L, Lepper M and Zhou B (2007), “Stress concentration analysis of fibre-reinforced multilayered composites with pin-loaded holes”,Composites Science and Technology, Vol. 67, 1439-1450.
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, 330-335.
Jain N K and Mittal N D (2008), “Finite element analysis for stress concentration and deflection in isotropic, orthotropic and laminated composite plates with central circular hole under transverse static loading”, Materials Science and Engineering, Vol. A-498, 115-124.
Jain N K and Mittal N D (2008), “Effect of fibre orientation on stress concentration factor in a laminate with central circular hole under transverse static loading”, Indian Journal of Engineering & Material Sciences, Vol. 15, 452-458.
Ghezzo F, Giannini G, Cesari F, and Galigiana G (2008), “Numerical and experimental analysis of the interaction between two notches in carbon fibre laminates”, Composites Science and Technology, Vol. 68, 1057–1072.
Ozben T and Arslan N (2010), “FEM analysis of laminated composite plate with rectangular hole and various elastic modulus under transverse loads”, Applied Mathematical Modeling, Vol. 34, 1746–1762.
Yu N Y, Li Q and Chen Y H (2012), “Measurement of the M-integral for a Hole in an Aluminum”, Plate or Strip Experimental Mechanics, Vol. 52, 855–863.
Zappalorto M and Lazzarin P (2011), “In-plane and out-of-plane stress field solutions for V-notches with end holes”, International Journal of Fracture, Vol. 168, 167–180.
Daniel I M and Ishai O (1994), “Engineering Mechanics of Composite Materials”, Oxford University Press, New York.
