Open Access

ARTICLE

Dynamic Analysis of a Layered Cylinder Reinforced by Functionally Graded Carbon Nanotubes Distributions Subjected to Shock Loading using MLPG Method

Soleiman Ghouhestani¹, Farzad Shahabian¹, Seyed Mahmoud Hosseini^2,3

1 Civil Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
2 Industrial Engineering Department, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
3 Corresponding author. Tel: +98 511 8805064; Fax: +98 511 8763301; E-mails: sm_hosseini@um.ac.ir; sm_hoseini@yahoo.com

Computer Modeling in Engineering & Sciences 2014, 100(4), 295-321. https://doi.org/10.3970/cmes.2014.100.295

Abstract

In this paper, the meshless local Petrov-Galerkin (MLPG) method is exploited for dynamic analysis of functionally graded nanocomposite cylindrical layered structure reinforced by carbon nanotube subjected to mechanical shock loading. The carbon nanotubes (CNTs) are distributed across radial direction on thickness of cylinder, which can be simulated by linear and nonlinear volume fraction. Free vibration and elastic wave propagation are studied for various value of volume fraction exponent at various time intervals. The layered cylinder is assumed to be under axisymmetric and plane strain conditions. Four types of CNTs distributions including uniform and three kinds of functionally graded distributions along the radial of cylinder are considered. Material properties are simulated by a micro mechanical model. In the MLPG analysis, radial basis function (RBF) is used for approximation of displacement field in the weak form of governing equations and Heaviside function is used as test Function. For time domain analysis, the Newmark finite difference method is used. Effects of various distributions of carbon nanotubes on the propagation of elastic wave are illustrated and studied in details. The results obtained by the present analysis are compared and validated with those obtained by FEM, which were reported in previous published literatures.

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Keywords

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