Free-vibration analysis of multi-directional functionally graded plates based on 3D isogeometric analysis

Abstract

In this paper, an efficient computational approach is developed to investigate the free-vibration behavior of functionally graded plates. The problem is developed based on a three-dimensional elasticity theory, which is expected to capture the structural response accurately. Isogeometric analysis is employed as a discretion tool to solve the problems. The accuracy of the proposed approach is verified by comparing the obtained results with those available in the literature. In addition, various examples are also presented to illustrate the efficiency of the proposed approach. There are five types of plates with different configurations of material gradations. The benchmark results for those are also given for future investigations. Keywords: multi-directional functionally graded materials; 3D elasticity; isogeometric analysis; free-vibration.