Transient thermal stresses in two-dimensional functionally graded thick hollow cylinder with finite length

2009 ◽  
Vol 80 (4) ◽  
pp. 353-376 ◽  
Author(s):  
Masoud Asgari ◽  
Mehdi Akhlaghi
Keyword(s):  
Hollow Cylinder ◽  
Finite Length ◽  
Thermal Stresses ◽  
Functionally Graded ◽  
Two Dimensional ◽  
Thick Hollow Cylinder ◽  
Transient Thermal

scholarly journals Two Dimensional Functionally Graded Material Finite Thick Hollow Cylinder Axisymmetric Vibration Mode Shapes Analysis Based on Exact Elasticity Theory

2015 ◽  
Vol 45 (2) ◽  
pp. 3-20 ◽  
Author(s):  
Masoud Asgari
Keyword(s):  
Hollow Cylinder ◽  
Functionally Graded Material ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Variation Method ◽  
Axisymmetric Vibration ◽  
Two Dimensional ◽  
Thick Hollow Cylinder ◽  
Graded Material

Abstract A thick hollow cylinder with finite length made of two- dimensional functionally graded material (2D-FGM) is considered and its natural modes are determined, based on great importance of mode shapes information in order to understand vibration behaviour of structures. Three dimensional theory of elasticity implemented for problem formulation, since mode shapes of a thick cylinder are three dimensional even with axisymmetric conditions. The axisymmetric conditions are assumed for the 2D-FGM cylinder. The material properties of the cylinder are varied in the radial and axial directions, with power law functions. Effects of volume fraction distribution on the different types of symmetric mode shapes configuration and vibration behaviour of a simply supported cylinder are analyzed. Three dimensional equations of motion are used and the eigen value problem is developed, based on direct variation method.

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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