General analytical solution for elastic radial wave propagation and dynamic analysis of functionally graded thick hollow cylinders subjected to impact loading

2009 ◽  
Vol 212 (1-2) ◽  
pp. 1-19 ◽  
Author(s):  
Seyed Mahmoud Hosseini ◽  
Mohammad Hossein Abolbashari
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Dynamic Analysis ◽  
Impact Loading ◽  
Functionally Graded ◽  
Radial Wave ◽  
General Analytical Solution ◽  
Hollow Cylinders

Viscoelastic Circumferential SH Wave in Graded Hollow Cylinders

2014 ◽  
Vol 543-547 ◽  
pp. 7-11
Author(s):  
X.D. Yang ◽  
J.G. Yu
Keyword(s):  
Wave Propagation ◽  
Nondestructive Evaluation ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Polynomial Method ◽  
Sh Wave ◽  
Graded Material ◽  
Viscoelastic Theory ◽  
Hollow Cylinders ◽  
Dispersion And Attenuation

In this article, circumferential SH wave propagation in functionally graded material (FGM) hollow cylinders is investigated. Based on the Kelvin-Voigt viscoelastic theory, the controlling differential equations in terms of displacements are deduced. By the Legendre polynomial method, the asymptotic solutions are obtained. Through the numerical results, the influences of gradient profile and the influences of the radius to thickness ratio on dispersion and attenuation are illustrated. The work is crucial for guided ultrasonic nondestructive evaluation for graded hollow cylinders.

scholarly journals Semi-Analytical Solution of Functionally Graded Circular Short Hollow Cylinder Subject to Transient Thermal Loading

2014 ◽  
Vol 61 (3) ◽  
pp. 409-432 ◽  
Author(s):  
Jafar Eskandari Jam ◽  
Y. Rahmati Nezhad
Keyword(s):  
Analytical Solution ◽  
Hollow Cylinder ◽  
Thermal Loading ◽  
Thermal Stresses ◽  
Functionally Graded ◽  
Thermal Boundary Conditions ◽  
Numerical Laplace Inversion ◽  
Time Variations ◽  
Hollow Cylinders ◽  
Transient Thermal

Abstract In this paper, by using a semi-analytical solution based on multi-layered approach, the authors present the solutions of temperature, displacements, and transient thermal stresses in functionally graded circular hollow cylinders subjected to transient thermal boundary conditions. The cylinder has finite length and is subjected to axisymmetric thermal loads. It is assumed that the functionally graded circular hollow cylinder is composed of N fictitious layers and the properties of each layer are assumed to be homogeneous and isotropic. Time variations of the temperature, displacements, and stresses are obtained by employing series solving method for ordinary differential equation, Laplace transform techniques and a numerical Laplace inversion.

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