Energy effect removal technique to model circular/elliptical holes in relatively thick composite plates under in-plane compressive load

作者: S.A.M. Ghannadpour , M. Mehrparvar

DOI: 10.1016/J.COMPSTRUCT.2018.05.026

关键词: MechanicsPotential energyRitz methodChebyshev polynomialsGaussian quadratureBoundary value problemPlate theoryMaterials scienceFinite element methodComposite laminates

摘要: Abstract A new technique is introduced in this study to model laminates with circular and elliptical holes . Post-buckling nonlinear behaviors of these perforated plates are examined when they under uniaxial in-plane compressive load Since the moderately thick, plate theory used embody shear effects thickness direction first order deformation Von Karman’s assumptions also incorporate geometric nonlinearity The formulations founded upon principle minimum potential energy approximation displacement fields based on Ritz method obtained by Chebyshev polynomials. Convergence tests have been performed determine total number terms be assumed functions. results from removing contribution perfect plate. All integrations numerically applying Guess quadrature rule, however, case or cutouts, required nodes Gauss-Chebyshev arranged two different ways; Cartesian polar arrangements. cutout shape, size location for composite boundary conditions extensively investigated show capability proposed technique. accuracy present work comparing finite element

参考文章(47)
K. Sivakumar, N.G.R. Iyengar, K. Deb, FREE VIBRATION OF LAMINATED COMPOSITE PLATES WITH CUTOUT Journal of Sound and Vibration. ,vol. 221, pp. 443- 470 ,(1999) , 10.1006/JSVI.1998.2034
Ahmet Avci, Ömer Sinan Sahin, Mesut Uyaner, Thermal buckling of hybrid laminated composite plates with a hole Composite Structures. ,vol. 68, pp. 247- 254 ,(2005) , 10.1016/J.COMPSTRUCT.2004.03.017
SK Panda, BN Singh, None, Thermal postbuckling behavior of laminated composite spherical shell panel using NFEM Mechanics Based Design of Structures and Machines. ,vol. 41, pp. 468- 488 ,(2013) , 10.1080/15397734.2013.797330
Payal Jain, Ashwini Kumar, Postbuckling response of square laminates with a central circular/elliptical cutout Composite Structures. ,vol. 65, pp. 179- 185 ,(2004) , 10.1016/J.COMPSTRUCT.2003.10.014
R. Bailey, J. Wood, Stability characteristics of composite panels with various cutout geometries Composite Structures. ,vol. 35, pp. 21- 31 ,(1996) , 10.1016/0263-8223(96)00021-9
Ahmed K. Noor, Jeanne M. Peters, Finite element buckling and postbuckling solutions for multilayered composite panels Finite Elements in Analysis and Design. ,vol. 15, pp. 343- 367 ,(1994) , 10.1016/0168-874X(94)90026-4
Namita Nanda, J.N. Bandyopadhyay, Large amplitude free vibration of laminated composite shells with cutout Aircraft Engineering and Aerospace Technology. ,vol. 80, pp. 165- 174 ,(2008) , 10.1108/00022660810859382
Dennis J. Vandenbrink, Manohar P. Kamat, Post-buckling response of isotropic and laminated composite square plates with circular holes Finite Elements in Analysis and Design. ,vol. 3, pp. 165- 174 ,(1987) , 10.1016/0168-874X(87)90021-7
Y.J. Lee, H.J. Lin, C.C. Lin, A study on the buckling behavior of an orthotropic square plate with a central circular hole Composite Structures. ,vol. 13, pp. 173- 188 ,(1989) , 10.1016/0263-8223(89)90002-0