Dynamic Analysis of Cylindrically Layered Structures Reinforced by Carbon Nanotube Using MLPG Method

Abstract

This paper deals with the dynamic analysis of stress field in cylindrically layered<br />structures reinforced by carbon nanotube (CLSRCN) subjected to mechanical shock loading.<br />Application of meshless local integral equations based on meshless local Petrov-Galerkin<br />(MLPG) method is developed for dynamic stress analysis in this article. Analysis is carried<br />out in frequency domain by applying the Laplace transformation on governing equations and<br />then the stresses are transferred to time domain, using Talbot inversion Laplace techniques.<br />The mechanical properties of the nanocomposite are mathematically simulated using four<br />types of carbon nanotube distributions in radial volume fraction forms. The propagation of<br />stresses is indicated through radial direction for various grading patterns at different time<br />instants. The effects of various grading patterns on stresses are specifically investigated.<br />Numerical examples, presented in the accompanying section 4 of this paper, show that<br />variation of *<br />CN V has no significant effect on the amplitude of radial stresses. Examples<br />illustrate that stress distributions in cylindrical layer structures made of a CNT type  are<br />more sensitive rather than other grading pattern types of CNTs. Results derived in this<br />analysis are compared with FEM and previous published work and a good agreement is<br />observed between them.