Comportement mécanique des nanostructures fonctionnellements graduées reposant sur fondation elastique

Abstract

The goal of this work is to use a first order shear deformation theory (FSDT) with four variables in the displacement field to investigate the static and dynamic behavior of functionally graded plates sitting on Winkler / Pasternak foundations-type. This study also examined the various forms of porosity in the FG plates that develop during the melting or mixing phases. The Navier's solution is used to solve the obtained differential equations. The Hamilton principle was also utilized to derive the equations of motion for the plates in this work, and using local theories and Eringen theories on continuum mechanics (non-local). The resulting numbers are contrasted with those found in other studies. Through a number of examples, a thorough parametric analysis was created to demonstrate how foundation parameters, porosity distributions, power indices, and geometry affect both perfect and imperfect FG plates.