Mechanical Buckling Analysis of Composite Annular Sector Plate with Bean-Shaped Cut-Out using Three Dimensional Finite Element Method
Subject Areas : Engineering
H Behzad
1
(Faulty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran)
A.R Shaterzadeh
2
(Faulty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran)
M Shariyat
3
(Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran)
Keywords: Mechanical buckling, Annular sector plate, Composite material, 3D finite elements method,
Abstract :
In this paper, mechanical buckling analysis of composite annular sector plates with bean shape cut out is studied. Composite material sector plate made of Glass-Epoxy and Graphite-Epoxy with eight layers with same thickness but different fiber angles for each layer. Mechanical loading to form of uniform pressure loading in radial, environmental and biaxial directions is assumed. The method used in this analysis is three dimensional (3D) finite elements based on the elasticity relations. With zero first and second variation of potential energy of the entire annular sector plate, we find stability equation. Green non-linear displacement strain relations to obtain geometric stiffness matrix is used. Unlike many studies, in present work three dimensional finite elements method has been used with an eight node element and meshing in the thickness direction is done, too. The bean shaped cut out in the sector has increased the complexity of the analysis. The continuing, effect of different parameters including cut out dimensions, fiber angles of layers, loading direction and dimensions of the annular sector plate on the mechanical buckling load has been investigated and interesting results have been obtained.
[1] Bruno D., Lato S., 1991, Buckling of moderately thick composite plates, Journal of Computers & Structures 18: 65-75.
[2] Chai G. B., 1994, Buckling of generally laminated composite plates with various edge support conditions, Journal of Composite Structures 29: 299-310.
[3] Kim Y. S., Hoa S. V., 1995, Bi-axial buckling behavior of composite rectangular plates, Journal of Composite Structures 31: 247-252.
[4] Zhou Y. H., Zheng X., Harik I. E., 1995, A Semi-numerical method for buckling of sector plates, Journal of Computers & Structures 57(5): 847-854.
[5] Sundaresan P., Singh G., Rao V., 1998, Buckling of moderately thick rectangular composite plates subjected to partial edge compression, Journal of Mechanical Sciences 40(11): 1105-1117.
[6] Shariyat M., 2007, Thermal buckling analysis of rectangular composite plates with temperature-dependent properties based on a layer wise theory, Journal of Thin-Walled Structures 45: 439-452.
[7] Özben T., 2009, Analysis of critical buckling load of laminated composites plate with different boundary conditions using FEM and analytical methods, Journal of Computational Materials Science 45: 1006-1015.
[8] Alipour M. M., Shariyat M., 2011, Semi-analytical buckling analysis of heterogeneous variable thickness viscoelastic circular plates on elastic foundations, Journal of Mechanics Research Communications 38: 594-601.
[9] Dash P., Singh B. N., 2012, Buckling and post-buckling of laminated composite plates, Journal of Mechanics Research Communications 46: 1-7.
[10] Jabbarzadeh M., Baghdar M.K. D., 2013, Thermal buckling analysis of FGM sector plates using differential quadrature method, Journal of Modares Mechanical Engineering 13(2): 33-45.
[11] Asemi K., Shariyat M., 2013, Highly accurate nonlinear three-dimensional finite element elasticity approach for biaxial buckling of rectangular anisotropic FGM plates with general orthotropy directions, Journal of Composite Structures 106: 235-249.
[12] Fazzolari F.A., Banerjee J. R., Boscolo M., 2013, Buckling of composite plate assemblies using higher order shear deformation theory-An exact method of solution, Journal of Thin-Walled Structures 71: 18-34.
[13] Lopatin A.V., Morozov E.V., 2014, Buckling of a uniformly compressed composite rectangular CCCC sandwich plate, Journal of Composite Structures 108: 332-340.
[14] Asemi K., Salehi M., Akhlaghi M., 2014, Post-buckling analysis of FGM annular sector plates based on three dimensional elasticity graded finite elements, Journal of Non-Linear Mechanics 67: 164-177.
[15] Abolghasemi S., Shaterzadeh A.R., Rezaei R., 2014, Thermo-mechanical buckling analysis of functionally graded plates with an elliptic cutout, Journal of Aerospace Science and Technology 39: 250-259.
[16] Nasirmanesh A., Mohammadi S., 2015, XFEM buckling analysis of cracked composite plates, Journal of Composite Structures 131: 333-343.
[17] Rezaei R., Shaterzadeh A.R., Abolghasemi S., 2015, Buckling analysis of rectangular functionally graded plates with an elliptic hole under thermal loads, Journal of Solid Mechanics 7(1): 41-57.
[18] Shaterzadeh A. R., 2015, Thermo-mechanical buckling analysis of FGM plates with circular cut out, Journal of Solid and Fluid Mechanics 5(2): 97-107.
[19] Mansouri M. H., Shariyat M., 2015, Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations, Journal of Composites Part B 83: 88-104.
[20] Asemi K., Shariyat M., Salehi M., Ashrafi H., 2013, A full compatible three-dimensional elasticity element for buckling analysis of FGM rectangular plates subjected to various combinations of biaxial normal and shear loads, Journal of Finite Elements in Analysis and Design 74: 9-21.
[21] Herakovich C. T., 1998, Mechanics of Fibrous Composites, 1st Edition, Amazon.
[22] Zienkiewicz O. C., Taylor R. L., 2000, The Finite Element Method: It’s The Basis, 5th Edition, Amazon.
[23] Darvizeh M., Darvizeh A., Shaterzadeh A.R., Ansari R., 2010, Thermal buckling of spherical shells with cut-out, Journal of Thermal Stresses 33: 441-458.