Combined influence of variable distribution models and boundary conditions on the thermodynamic behavior of FG sandwich plates lying on various elastic foundations
No Thumbnail Available
Date
2023-12-04
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The present research investigates the thermodynamically bending behavior of FG sandwich plates, laying on the
Winkler/Pasternak/Kerr foundation with various boundary conditions, subjected to harmonic thermal load varying through
thickness. The supposed FG sandwich plate has three layers with a ceramic core. The constituents’ volume fractions of the lower
and upper faces vary gradually in the direction of the FG sandwich plate thickness. This variation is performed according to
various models: a Power law, Trigonometric, Viola-Tornabene, and the Exponential model, while the core is constantly
homogeneous. The displacement field considered in the current work contains integral terms and fewer unknowns than other
theories in the literature. The corresponding equations of motion are derived based on Hamilton’s principle. The impact of the
distribution model, scheme, aspect ratio, side-to-thickness ratio, boundary conditions, and elastic foundations on thermodynamic
bending are examined in this study. The deflections obtained for the sandwich plate without elastic foundations have the lowest
values for all boundary conditions. In addition, the minimum deflection values are obtained for the exponential volume fraction
law model. The sandwich plate’s non-dimensional deflection increases as the aspect ratio increases for all distribution models