Axisymmetric postbuckling of moderately thick laminated annular plate using FSDT

Dumir, P.C.; Dube, G.; Mallick, A.

doi:10.1016/s0263-8223(00)00147-1

Cited by 9 publications

(7 citation statements)

References 6 publications

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“…In contrast to previous investigations [9,10], in which it was assumed that the fibers are adjusted in radial and circumferential directions, in this study the fibers are arranged in regular form and the sector plate is cut from this ply as depicted in Fig. 1.…”

Section: Sector Plate Governing Equationsmentioning

confidence: 95%

“…For the analysis of plates, many researchers have studied the vibration and buckling analysis of circular composite plates such as [9,10]. For the solution of the governing equations of a structural system, several studies on nonlinear structural analysis have been done especially for large deflections of plates using the iterative Dynamic Relaxation (DR) method [11][12][13][14] with finite difference discritization.…”

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confidence: 99%

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Nonlinear Viscoelastic Response of Unidirectional Polymeric Laminated Composite Plates Under Bending Loads

Falahatgar

Salehi

2011

Appl Compos Mater

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Nonlinear bending analysis of polymeric laminated composite plate is examined considering material nonlinearity for viscoelastic matrix material through a Micro-macro approach. The micromechanical Simplified Unit Cell Method (SUCM) in three-dimensional closed-form solution is used for the overall behavior of the unidirectional composite in any combination of loading conditions. The elastic fibers are transversely isotropic where Schapery single integral equation in multiaxial stress state describes the matrix material by recursive-iterative formulation. The finite difference Dynamic Relaxation (DR) method is utilized to study the bending behavior of Mindlin annular sector plate including geometric nonlinearity under uniform lateral pressure with clamped and hinged edge constraints. The unsymmetrical laminated plate deflection is predicted for different thicknesses and also various pressures in different time steps and they are compared with elastic finite element results. As a main objective, the deflection results of viscoelastic laminated sector plate are obtained for various fiber volume fractions in the composite system.

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Section: Sector Plate Governing Equationsmentioning

confidence: 95%

mentioning

confidence: 99%

Nonlinear Viscoelastic Response of Unidirectional Polymeric Laminated Composite Plates Under Bending Loads

Falahatgar

Salehi

2011

Appl Compos Mater

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“…The positive coordinate system, the radii and thickness measurements, fiber orientation, and sector angle are illustrated. In many previous research investigations [26][27][28][29], if the fibers are adjusted in the radial direction, Young's modulus of elasticity will depend on the radius of the sector. So the constant values given in the study cannot be reasonable in practice.…”

Section: Plate Geometrymentioning

confidence: 99%

“…_ u, _ v, _ w, and _ r , _ are linear and rotational velocities. In Equations (26) and (27) the superscripts (a) and (b) refer respectively to the values of the velocities after and before the time increment t. Using simple integration relation, the displacement and rotations are calculated at the end of each time step t as:…”

Section: Plate Governing Equations Numerical Solutionmentioning

confidence: 99%

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Dynamic Relaxation Nonlinear Viscoelastic Analysis of Annular Sector Composite Plate

Falahatgar

Salehi

2008

Journal of Composite Materials

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The geometrically nonlinear laminated annular plate structure with nonlinear viscoelastic orthotropic composite is considered using the dynamic relaxation (DR) method for the first time in the present study. The DR technique in conjunction with the finite difference discretization is used to study the behavior of a Mindlin plate. The plate is made of nonlinear viscoelastic orthotropic material expressed by the Schapery single integral model. A recursive-iterative formulation is implemented for the hereditary integral of the material. Under uniform lateral pressure and clamped and hinged edged constraints, the unsymmetrical laminated sector plate deformation is predicted in different times. The present results are compared with the elastic finite element (FE) generated numerical results. The correlations are very satisfactory. The load-center deflections for linear and nonlinear viscoelastic material plate along the symmetrical radial line for elastic and viscoelastic plate are illustrated. The dimensionless deflection results for up to 480 min are predicted to show the creep behavior of the material. Finally, the dimensionless stress couple results are obtained after 8 h creep time for a graphite/epoxy composite plate.

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Study of critical buckling loads and modes of cross-ply laminated annular plates

Seifi

Khoda-yari

Hosseini

2012

Composites Part B: Engineering

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Axisymmetric postbuckling of moderately thick laminated annular plate using FSDT

Cited by 9 publications

References 6 publications

Nonlinear Viscoelastic Response of Unidirectional Polymeric Laminated Composite Plates Under Bending Loads

Nonlinear Viscoelastic Response of Unidirectional Polymeric Laminated Composite Plates Under Bending Loads

Dynamic Relaxation Nonlinear Viscoelastic Analysis of Annular Sector Composite Plate

Study of critical buckling loads and modes of cross-ply laminated annular plates

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