Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory

A review of meshless methods for laminated and functionally graded plates and shells

http://repository.ias.ac.in/15719/1/327.pdf

Analytical solutions for the static analysis of laminated composite and sandwich plates based on a higher order refined theory

https://www.civil.iitb.ac.in/~tkant/papers/TKant-IITB-JP057.pdf

A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches

https://www.civil.iitb.ac.in/~tkant/papers/TKant-IITB-JP013.pdf

A Simple Finite Element Formulation of a Higher-order Theory for Unsymmetrically Laminated Composite Plates

An improved transverse shear deformation theory for laminated anisotropic plates under bending is presented. The theory eliminates the need for an arbitrarily chosen shear correction factor. For a general laminate with coupled bending and stretching, the constitutive equations connecting resultants with average displacements and rotations are derived. Simplified forms of these relations are also obtained for the special case of a symmetric laminate with uncoupled bending. The governing equation for this special case is obtained as a sixth-order equation for the normal displacement requiring prescription of the three physically natural bounday conditions along each edge. For the limiting case of isotropy, the present theory reduces to an improved version of Mindlin's theory. Numerical results are obtained from the present theory for an example of a laminated plate under cylindrical bending. Comparison with results from exact three-dimensional analysis shows that the present theory is more accurate than other theories of equivalent order.

/pdf/an-improved-transverse-shear-deformation-theory-for-4wnwlrekes.pdf

M. V. V. Murthy

Papers

An improved transverse shear deformation theory for laminated antisotropic plates