K. Bhaskar

Department of Aerospace Engineering

T. K. Varadan

COMPOSITE MATERIALS--DEFORMATION

LAMINATED PRODUCTS

Stresses--Shear

COMPOSITE PLATE SHEAR DEFORMATION

HIGHER ORDER PLATE THEORY REFINEMENT

LAMINATED PLATE THEORIES

MINDLIN-TYPE THEORY

Plates

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Refinement of higher-order laminated plate theories

AIAA Journal

The non-linear bending analysis of simply supported symmetrically laminated orthotropic plates subjected to uniformly distributed load, using an accurate displacement based higher-order theory is presented. The non-linear governing equations are solved by the Galerkin procedure with the use of the Newton-Raphson method. Numerical results given here, based on analytical investigation, will be useful for comparison in future. © 1992.

International Journal of Non-Linear Mechanics

Large deflection analysis of laminated composite plates

Accurate bending analysis of laminated orthotropic plates

Journal of Sound and Vibration

Free vibration and stability of cross-ply laminated plates

A review of displacement and stress based refined theories for isotropic and anisotropic laminated plates is presented. Various equivalent single layer and layerwise theories for laminated plates are discussed together with their merits and demerits. Exact elasticity solutions for the plate problems are cited, wherever available. Various critical issues related to plate theories are presented, based on the literature reviewed.

Journal of Reinforced Plastics and Composites

A review of refined shear deformation theories of isotropic and anisotropic laminated plates

A layerwise trigonometric shear deformation theory for flexural analysis of two layered laminated plates, taking into account transverse shear deformation effects, is presented. The present theory has only three variables, that is, two variables less than those in the first-order shear deformation theory. The displacement field uses a sinusoidal function in terms of thickness coordinate to represent the shear deformation. The noteworthy feature of the theory is that the transverse shear stresses can be obtained directly from the use of constitutive relations with reasonable accuracy, satisfying the shear stress free surface conditions at the top and bottom surfaces of the plate and continuity conditions at interface between the layers. The transverse shear stresses can also be obtained, with better accuracy, by integrating equilibrium equations. The theory obviates the need for a shear correction factor. The governing equations and boundary conditions are obtained using the principle of virtual work. A two-layered cross-ply laminated plate is considered for the numerical study to demonstrate the efficacy of the theory. The results obtained using the present theory are discussed critically with those of other theories and are found to agree well with the exact elasticity results. © 2000 Taylor & Francis.

Mechanics of Composite Materials and Structures

A layerwise shear deformation theory for two-layered cross-ply laminated plates

Composite Structures

On higher order shear deformation theory of laminated composite panels

Bending, vibration and buckling of simply supported thick multilayered orthotropic plates: An evaluation of a new displacement model

Theories for the Dynamic Response of Laminated Plates

Journal	AIAA Journal
ISSN	00011452
Open Access	No