Analysis of Stress Concentration and Deflectionin Isotropic and Orthotropic Rectangular Plates with Central Circular Hole under Transverse Static Loading
The distributions of stresses and deflection in
rectangular isotropic and orthotropic plates with central
circular hole under transverse static loading have been studied
using finite element method. The aim of author is to analyze
the effect of D/A ratio (where D is hole diameter and A is plate
width) upon stress concentration factor (SCF) and deflection
in isotropic and orthotropic plates under transverse static
loading. The D/A ratio is varied from 0.01 to 0.9. The analysis
is done for plates of isotropic and two different orthotropic
materials. The results are obtained for three different boundary
conditions. The variations of SCF and deflection with respect
to D/A ratio are presented in graphical form and discussed.
The finite element formulation is carried out in the analysis
section of the ANSYS package.
[1] T. K. Paul, and K. M. Rao, "Stress analysis in circular holes in FRP
laminates under transverse load," Computers & Structures, vol. 33(4),
pp. 929-935, 1989.
[2] T. K. Paul, and K. M. Rao, "Finite element evaluation of stress
concentration factor of thick laminated plates under transverse loading,"
Computers & Structures, vol. 48(2), pp. 311-317, 1993.
[3] B. P. Shastry, and G. V. Raj "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, pp. 151-
154, 1997.
[4] X. Xiwu, S. Liangxin, and F. Xuqi, "Stress concentration of finite
composite laminates with elliptical hole," Computers & Structures, vol.
57(1), pp. 29-34, 1995.
[5] X. Xiwu, S. Liangxin, and F. Xuqi, "Stress concentration of finite
composite laminates weakened by multiple elliptical holes,"
International Journal of Solids Structures, vol. 32(20), pp. 3001-3014,
1995.
[6] T. Iwaki, "Stress concentrations in a plate with two unequal circular
holes," International Journal of Engineering Sciences, vol. 18(8), pp.
1077-1090, 1980.
[7] V. G. Ukadgaonker, and D. K. N. Rao, "A general solution for stress
around holes in symmetric laminates under in-plane loading,"
Composite Structure, vol. 49, pp. 339-354, 2000.
[8] K. Ting, K. T. Chen, and W. S. Yang, "Stress analysis of the multiple
circular holes with the rhombic array using alternating method,"
International Journal of Pressure Vessels and Piping , vol. 76, pp. 503-
514, 1999.
[9] R. A. Chaudhuri, "Stress concentration around a part through hole
weakening laminated plate," Computers & Structures, vol. 27(5), pp.
601-609, 1987.
[10] H. Mahiou, and A. Bekaou, "Local stress concentration and the
prediction of tensile failure in unidirectional composites," Composites
Science and Technology, vol. 57, pp. 1661-1672, 1997.
[11] L. Toubal, M. Karama, and B. Lorrain, "Stress concentration in a
circular hole in composite plate," Composite Structures, vol. 68, pp. 31-
36, 2005.
[12] N. T. Younis, "Assembly stress for the reduction of stress
concentration," Mechanics Research Communications, vol. 33, pp. 837-
845
[13] G. B. Sinclair, "On the effect on stress concentration of rounding the
edge of a hole through plate," International Journal of Mechanical
Sciences, vol. 22(12), pp. 731-734, 1980.
[14] N. Troyani, C. Gomes, and G. Sterlacci, "Theoretical stress
concentration factors for short rectangular plates with centred circular
holes," Journal of Mechanical Design, ASME, vol. 124, pp. 126-128,
2002.
[15] M. Fillipini, "Stress Gradient calculations at notches," International
Journal of Fatigue, vol. 22(5), pp. 397-409, 2000.
[16] R. E. Peterson, "Stress concentration design factors," New York: John
Wiley and Sons, 1966.
[1] T. K. Paul, and K. M. Rao, "Stress analysis in circular holes in FRP
laminates under transverse load," Computers & Structures, vol. 33(4),
pp. 929-935, 1989.
[2] T. K. Paul, and K. M. Rao, "Finite element evaluation of stress
concentration factor of thick laminated plates under transverse loading,"
Computers & Structures, vol. 48(2), pp. 311-317, 1993.
[3] B. P. Shastry, and G. V. Raj "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, pp. 151-
154, 1997.
[4] X. Xiwu, S. Liangxin, and F. Xuqi, "Stress concentration of finite
composite laminates with elliptical hole," Computers & Structures, vol.
57(1), pp. 29-34, 1995.
[5] X. Xiwu, S. Liangxin, and F. Xuqi, "Stress concentration of finite
composite laminates weakened by multiple elliptical holes,"
International Journal of Solids Structures, vol. 32(20), pp. 3001-3014,
1995.
[6] T. Iwaki, "Stress concentrations in a plate with two unequal circular
holes," International Journal of Engineering Sciences, vol. 18(8), pp.
1077-1090, 1980.
[7] V. G. Ukadgaonker, and D. K. N. Rao, "A general solution for stress
around holes in symmetric laminates under in-plane loading,"
Composite Structure, vol. 49, pp. 339-354, 2000.
[8] K. Ting, K. T. Chen, and W. S. Yang, "Stress analysis of the multiple
circular holes with the rhombic array using alternating method,"
International Journal of Pressure Vessels and Piping , vol. 76, pp. 503-
514, 1999.
[9] R. A. Chaudhuri, "Stress concentration around a part through hole
weakening laminated plate," Computers & Structures, vol. 27(5), pp.
601-609, 1987.
[10] H. Mahiou, and A. Bekaou, "Local stress concentration and the
prediction of tensile failure in unidirectional composites," Composites
Science and Technology, vol. 57, pp. 1661-1672, 1997.
[11] L. Toubal, M. Karama, and B. Lorrain, "Stress concentration in a
circular hole in composite plate," Composite Structures, vol. 68, pp. 31-
36, 2005.
[12] N. T. Younis, "Assembly stress for the reduction of stress
concentration," Mechanics Research Communications, vol. 33, pp. 837-
845
[13] G. B. Sinclair, "On the effect on stress concentration of rounding the
edge of a hole through plate," International Journal of Mechanical
Sciences, vol. 22(12), pp. 731-734, 1980.
[14] N. Troyani, C. Gomes, and G. Sterlacci, "Theoretical stress
concentration factors for short rectangular plates with centred circular
holes," Journal of Mechanical Design, ASME, vol. 124, pp. 126-128,
2002.
[15] M. Fillipini, "Stress Gradient calculations at notches," International
Journal of Fatigue, vol. 22(5), pp. 397-409, 2000.
[16] R. E. Peterson, "Stress concentration design factors," New York: John
Wiley and Sons, 1966.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:49392", author = "Nitin Kumar Jain", title = "Analysis of Stress Concentration and Deflectionin Isotropic and Orthotropic Rectangular Plates with Central Circular Hole under Transverse Static Loading", abstract = "The distributions of stresses and deflection in
rectangular isotropic and orthotropic plates with central
circular hole under transverse static loading have been studied
using finite element method. The aim of author is to analyze
the effect of D/A ratio (where D is hole diameter and A is plate
width) upon stress concentration factor (SCF) and deflection
in isotropic and orthotropic plates under transverse static
loading. The D/A ratio is varied from 0.01 to 0.9. The analysis
is done for plates of isotropic and two different orthotropic
materials. The results are obtained for three different boundary
conditions. The variations of SCF and deflection with respect
to D/A ratio are presented in graphical form and discussed.
The finite element formulation is carried out in the analysis
section of the ANSYS package.", keywords = "Finite Element Method, SCF, Deflection, Plate,Boundary conditions", volume = "3", number = "12", pages = "1442-7", }