Based on Reddy's third-order shear deformation theory, an exact closed-form solution is proposed to describe linear buckling of transversely isotropic laminated rectangular plates under either mono- or bi-axial compressive in-plane loads. To this end, the coupled governing equations are exactly converted to two sets of uncoupled equations for in-plane and transverse deformations of symmetric laminated plates. The new uncoupled equations are analytically solved by applying both Navier and Lévy-type solution methods. The validity and high accuracy of the current exact solution are evaluated by comparing the present results with their counterparts reported in literature.
DarvizehM.DarvizehA.AnsariR.SharmaC. B.Buckling analysis of generally laminated composite plates (generalized differential quadrature rules versus Rayleigh–Ritz method). Compos. Struct., 2004, 63, 69–74.
2.
UngbhakornV.SinghatanadgidP.Buckling analysis of symmetrically laminated composite plates by the extended Kantorovich method. Compos. Struct., 2006, 73, 120–128.
3.
MittelstedtC.Closed-form analysis of the buckling loads of symmetrically laminated orthotropic plates considering elastic edge restraints. Compos. Struct., 2007, 81, 550–558.
4.
ShufrinI.RabinovitchO.EisenbergerM.Buckling of laminated plates with general boundary conditions under combined compression, tension, and shear—a semi-analytical solution. Thin Wall. Struct., 2008, 46, 925–938.
5.
ShufrinI.RabinovitchO.EisenbergerM.Buckling of symmetrically laminated rectangular plates with general boundary conditions – a semi analytical approach. Compos. Struct., 2008, 82, 521–531.
6.
KuoS. Y.ShiauL. C.Buckling and vibration of composite laminated plates with variable fiber spacing. Compos. Struct., 2009, 90, 196–200.
7.
TopalU.UzmanÜEffects of nonuniform boundary conditions on the buckling load optimization of laminated composite plates. Mater. Des., 2009, 30, 710–717.
8.
GhannadpourS. A. M.OvesyH. R.The application of an exact finite strip to the buckling of symmetrically laminated composite rectangular plates and prismatic plate structures. Compos. Struct., 2009, 89, 151–158.
9.
BertC. W.MalikM.On the buckling characteristics of symmetrically laminated cross-ply plates. Mech. Compos. Mater. Struct., 1997, 4, 39–67.
10.
TonD.DaweD. J.Buckling and vibration analysis of composite laminated plates and shells using general spline function. Compos. Struct., 1997, 40, 25–42.
11.
KumarY. V. S.MukhopadhyayM.A new finite element for buckling analysis of laminated stiffened plates. Compos. Struct., 1999, 46, 321–331.
12.
AkbulutH.SaymanO.An investigation on buckling of laminated plates with central square hole. J. Reinf. Plast. Compos., 2001, 20, 1112–1124.
13.
DaweD. J.YuanW. X.Overall and local buckling of sandwich plates with laminated faceplates, Part I: Analysis. Comput. Methods Appl. Mech. Engng, 2001, 190, 5197–5213.
14.
YuanW. X.DaweD. J.Overall and local buckling of sandwich plates with laminated faceplates, Part II: Applications. Comput. Methods Appl. Mech. Engng, 2001, 190, 5215–5231.
15.
D'OttavioM.CarreraE.Variable-kinematics approach for linearized buckling analysis of laminated plates and shells. AIAA J., 2010, 48, 1987–1996.
16.
FerreiraA. J. M.RoqueC. M. C.NevesA. M. A.JorgeR. M. N.SoaresC. M. M.LiewK. M.Buckling and vibration analysis of isotropic and laminated plates by radial basis functions. Compos. Part B/Eng., 2011, 43, 592–606.
17.
BodaghiM.SaidiA. R.Buckling behavior of standing laminated Mindlin plates subjected to body force and vertical loading. Compos. Struct., 2011, 93, 538–547.
18.
ReddyJ. N.PhanN. D.Stability and vibration of isotropic, orthotropic and laminated plates according to a higher–order shear deformation theory. J.Sound Vibration, 1985, 98, 157–170.
19.
LiuI. W.An element for static, vibration and buckling analysis of thick laminated plates. Comput. Struct, 1996, 59, 1051–1058.
20.
BertC. W.MalikM.Buckling analysis of thick laminated plates: higher–order theory with rotatory moments. J. Thermoplast. Compos. Mater., 1999, 12, 336–350.
21.
FaresM. E.ZenkourA. M.Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories. Compos. Struct, 1999, 44, 279–287.
22.
ChakrabartiA.SheikhA. H.Buckling of laminated composite plates by a new element based on higher order shear deformation theory. Mech. Adv. Mater. Struct., 2003, 10, 303–317.
23.
XieJ.NiQ. Q.IwamotoM.Buckling analysis of laminated composite plates with internal supports. Compos. Struct., 2005, 69, 201–208.
24.
NiQ. Q.XieJ.IwamotoM.Buckling analysis of laminated composite plates with arbitrary edge supports. Compos. Struct., 2005, 69, 209–217.
25.
OvesyH. R.GhannadpourS. A. M.SherafatM. H.Buckling analysis of laminated composite plates using higher order semi-analytical finite strip method. Appl. Compos. Mater., 2010, 17, 69–80.
26.
NaliP.CarreraE.LeccaS.Assessments of refined theories for buckling analysis of laminated plates. Compos. Struct., 2011, 93, 456–464.
27.
DingH.ChenW.ZhangL.Bending, vibration and stability of plates. Elasticity of transversely isotropic materials, 2006, 247–281. (Springer, Dordrecht).
28.
NosierA.ReddyJ. N.On vibration and buckling of symmetric laminated plates according to shear deformation theories, Part I. Acta Mech., 1992, 94, 123–144.
29.
NosierA.ReddyJ. N.On vibration and buckling of symmetric laminated plates according to shear deformation theories, Part II. Acta Mech., 1992, 94, 145–169.
30.
XiangY.Numerical developments in solving the buckling and vibration of Mindlin plates. PhD Thesis, The University of Queensland, Australia, 1993.
31.
HintonE.Buckling of initially stressed Mindlin plates using a finite strip method. Comput. Struct., 1978, 8, 99–105.
32.
TeoT. M.LiewK. M.A differential quadrature procedure for three-dimensional buckling analysis of rectangular plates. Int. J. Solid Struct., 1999, 36, 1149–1168.
33.
CivalekÖThree-dimensional vibration, buckling and bending analyses of thick rectangular plates based on discrete singular convolution method. Int. J. Mech. Sci., 2007, 49, 752–765.
