Higher Order Shear Deformation Plate Theory Applied to Study the Static and Dynamic Behavior of Laminated Composite Plate

Abstract

Plates are the most common type of structural member used in different field applications. newlineIn the recent era of material development, the plates are made up of composite materials or newlinefunctionally graded material. Since the beginning of the studies on plates, the displacement newlinefields are based on certain assumptions. These assumptions are dependent on the plate newlinethickness, in-plane or out-plane tangential displacement, linear, variable, or constant newlinevariation of shear stress and shear strain in the plates. This leads to the development of plate newlinetheories such as classical plate theory (CPT), first-order shear deformation theory (FSDT), newlineand higher-order shear deformation theory (HSDT). Generally, thick plates are analyzed by newlineHSDTs. However, in most of HSDTs, the displacement field in the thickness direction is newlinekept constant or linear. Fewer researches have been done by varying the displacement newlineequation along thickness direction up to higher-order. Now-a-days, it is a common practice newlineto enhance the strength of the composite; the constituent materials are altered. The use of newlinefiller material to enhance the strength of composites is a promising technique. However, the newlineeffect of filler materials on the static and dynamic fields of the composite plates, and the newlineoptimized use of filler materials are investigated in a limited number.