Analytical Solution for Two-Dimensional Dynamic Response Analysis of Functionally Graded Thick Hollow Cylinder with Finite Length Subjected to Impact Loading

This paper presents an analytical method to study dynamic characteristics of stress field in a finite length functionally graded (FG) thick hollow cylinder subjected to impact loading. The axisymmetry and plane strain conditions are supposed for the problem and the cylinder is considered with simply-supported ends conditions. The material properties of FG cylinder are assumed to vary continuously in the radial direction as a nonlinear volume fraction law. The governing equations of FG cylinder are solved analytically in the Laplace domain using series solution. To study the transient response of FG cylinder, the displacement field is obtained in time domain using residual theory. The dynamic response of FG cylinder illustrated and discussed for various grading patterns of ceramic-metal components in various points across the thickness. The presented analytical method furnishes a ground to investigate the time histories of stresses in FG cylinders with various exponents of ceramicmetal volume fraction subjected to arbitrary transient dynamic loading. A good agreement can be seen in comparison of obtained results based on the presented analytical method with published data.

کلیدواژه ها:

Finite Length Thick Hollow Cylinder ، Functionally Graded Materials ، DynamicResponse ، Impact Loading ، Analytical Solution