Vol. 14, No. 4, 2019

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Extended higher-order sandwich panel theory for plates with arbitrary aspect ratios

Faisal Siddiqui and George A. Kardomateas

Vol. 14 (2019), No. 4, 449–459
Abstract

A new extended higher-order sandwich panel theory (EHSAPT) for orthotropic elastic sandwich plates is formulated. This new theory extends the one-dimensional extended higher-order sandwich panel beam theory to two dimensions and applies it to plate structures. In this theory, the compressibility of the soft core in the transverse direction is taken into consideration. The in-plane displacements are third-order and the transverse displacement is second-order in the transverse coordinate respectively. This arrangement allows the theory to take the axial, shear and transverse normal stresses in the core in consideration. In order to derive the governing equations and associated boundary conditions, eleven generalized coordinates are considered. Each face sheet has three generalized coordinates (two in-plane and one transverse displacement respectively) and the core has five generalized coordinates which include three displacements and two independent rotations. The governing equations and boundary conditions are derived using a variational approach such that all core/face sheet displacement compatibility conditions are satisfied.

Keywords
Sandwich panel, plate, arbitrary aspect ratios, EHSAPT
Milestones
Received: 27 November 2018
Revised: 25 April 2019
Accepted: 4 June 2019
Published: 13 December 2019
Authors
Faisal Siddiqui
Georgia Institute of Technology
Atlanta, GA
United States
George A. Kardomateas
Georgia Institute of Technology
Atlanta, GA
United States