Closed-Form Solutions for Axisymmetric Functionally Graded Material Elastic Plates

Abstract

Suitable, yet general enough, choices of functional grading along the radius and the thickness of axisymmetric circular plates may lead to closed-form solutions for the linear elastic direct problem. The plates are modeled according to the usual Kirchhoff—Love theory, because they are supposed to be thin; to abstract from actual values of geometric and material parameters, the governing equations are dealt with in nondimensional form. Some instances are presented, along with thorough comments.