Flexural characteristics of composites plates resting on elastic foundations via an innovative integral shear deformation theory

This paper aims to demonstrate a predictive model for the flexural behavior of isotropic, orthotropic, and laminated plates resting on Winkler-Pasternak elastic foundation type. This study utilizes An Innovative integral hyperbolic higher-order shear deformation theory that requires only four unknowns. The model incorporates shear deformation effects while satisfying zero shear stresses at the plate’s free edges, eliminating the need for shear correction factors. The developed theories are based on a novel displacement field description that includes terms involving indefinite integrals to minimize the number of unknowns. The governing equation, derived from the virtual displacement is solved using Navier’s analytical solution. The results obtained in the current study are consistent with available results in the existing literature. Additionally, the proposed theory is intriguing and shows promise for investigating further problems related to the mechanical behavior of plates due to their reduced variable count.