Shear buckling of rotationally-restrained composite laminated plates

Abstract Based on the Galerkin method, a semi-analytical solution for the shear buckling of composite laminated plates with all four edges elastically-restrained against rotation is presented. The considered laminated plates are loaded in pure shear or combined shear and compression. The deformation shape function is constructed through a unique weighting combination of vibration eigenfunctions of simply-supported and clamped conditions, and it is an effective method for solving the considered eigenvalue problem. A parametric study is conducted to evaluate the effect of the rotational restraint stiffness, plate aspect ratio, material orthotropy and anisotropy on the buckling behavior of the rotationally-restrained laminated plates under pure shear or combined shear and compression action. The semi-analytical solution presented can be used to analyze the restrained laminated plates under shear-dominated loading and applied to predict the web local buckling of thin-walled composite beams.

[1]  P. Qiao,et al.  Buckling analysis of restrained orthotropic plates under combined in-plane shear and axial loads and its application to web local buckling , 2014 .

[2]  M. P. Nemeth.  Buckling Behavior of Long Symmetrically Laminated Plates Subjected to Shear and Linearly Varying Axial Edge Loads , 1997 .

[3]  Stefanos Kosteletos,et al.  Shear buckling response of laminated plates , 1992 .

[4]  Moshe Eisenberger,et al.  Buckling of symmetrically laminated rectangular plates with general boundary conditions – A semi analytical approach , 2008 .

[5]  Y. Xiang,et al.  DSC ANALYSIS FOR BUCKLING AND VIBRATION OF RECTANGULAR PLATES WITH ELASTICALLY RESTRAINED EDGES AND LINEARLY VARYING IN-PLANE LOADING , 2009 .

[6]  E. Barbero.  Introduction to Composite Materials Design , 1998 .

[8]  Michael P. Nemeth,et al.  Buckling behavior of long symmetrically laminated plates subjected to combined loadings , 1992 .

[9]  Qing-Qing Ni,et al.  Buckling analysis of laminated composite plates with arbitrary edge supports , 2005 .

[10]  D. J. Gorman.  Free vibration and buckling of in-plane loaded plates with rotational elastic edge support , 2000 .

[11]  A. S. Ashour,et al.  Vibration of angle-ply symmetric laminated composite plates with edges elastically restrained , 2006 .

[12]  C. Mittelstedt.  Stability behaviour of arbitrarily laminated composite plates with free and elastically restrained unloaded edges , 2007 .

[13]  Sung-Cheon Han,et al.  Shear buckling responses of laminated composite shells using a modified 8-node ANS shell element , 2014 .

[14]  N. Iyengar,et al.  Study of interaction curves for composite laminate subjected to in-plane uniaxial and shear loadings , 2004 .

[15]  M. Friswell,et al.  Closed-Form Solutions for Buckling of Long Anisotropic Plates with Various Boundary Conditions under Axial Compression , 2010 .

[16]  J. Reddy.  Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[17]  Jeom Kee Paik,et al.  Buckling strength of steel plating with elastically restrained edges , 2000 .

[18]  F. L. Matthews,et al.  Initial buckling of curved panels of generally layered composite materials , 1983 .

[19]  J. Loughlan.  The influence of bend–twist coupling on the shear buckling response of thin laminated composite plates , 1999 .

[20]  C. Chia.  Nonlinear analysis of plates , 1980 .

[21]  P. Qiao,et al.  Explicit local buckling analysis of rotationally restrained composite plates under uniaxial compression , 2008 .

[22]  Lawrence C. Bank,et al.  Buckling of orthotropic plates with free and rotationally restrained unloaded edges , 1996 .

[23]  Pizhong Qiao,et al.  Explicit local buckling analysis of rotationally-restrained orthotropic plates under uniform shear , 2011 .

[24]  Zizi Lu,et al.  Local Buckling Analysis of Restrained Orthotropic Plates under Generic In-Plane Loading , 2013 .

[25]  Michael P. Nemeth.  Buckling Behavior of Long Anisotropic Plates Subjected to Combined Loads , 1995 .

[26]  David P. Thambiratnam,et al.  Analysis of Plate Resting on Elastic Supports and Elastic Foundation by Finite Strip Method , 2001 .