A New Rectangular Finite Element Formulation Based on Higher Order Displacement Theory for Thick and Thin Composite and Sandwich Plates

Sanjib Goswami, Wilfried Becker

Department of Mechanical Engineering, Institute of Structural Mechanics, Technical University of Darmstadt, Darmstadt, Germany.
Shaktibad Apartment, Phase-2, Ground Floor, Garia Station Road, Calcutta, India.

DOI: 10.4236/wjm.2013.33019                

Abstract

A new displacement based higher order element has been formulated that is ideally suitable for shear deformable composite and sandwich plates. Suitable functions for displacements and rotations for each node have been selected so that the element shows rapid convergence, an excellent response against transverse shear loading and requires no shear correction factors. It is completely lock-free and behaves extremely well for thin to thick plates. To make the element rapidly convergent and to capture warping effects for composites, higher order displacement terms in the displacement kinematics have been considered for each node. The element has eleven degrees of freedom per node. Shear deformation has also been considered in the formulation by taking into account shear strains ( r_xz and r_yz) as nodal unknowns. The element is very simple to formulate and could be coded up in research software. A small Fortran code has been developed to implement the element and various examples of isotropic and composite plates have been analyzed to show the effectiveness of the element.

Keywords

Finite Element; Displacement Approach; Plate Bending; Composite; Shear Deformation; Higher Order Theory; Lock-Free

Conflicts of Interest

The authors declare no conflicts of interest.

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