Reliability of stress field in Al–Al2O3 functionally graded thick hollow cylinder subjected to sudden unloading, considering uncertain mechanical properties

2010 ◽  
Vol 31 (8) ◽  
pp. 3748-3760 ◽  
Author(s):  
Seyed Mahmoud Hosseini ◽  
Farzad Shahabian
Keyword(s):  
Mechanical Properties ◽  
Stress Field ◽  
Hollow Cylinder ◽  
Functionally Graded ◽  
Thick Hollow Cylinder

scholarly journals Thermoelastic analysis of FGM hollow cylinder for variable parameters and temperature distributions using FEM

2020 ◽  
Vol 9 (1) ◽  
pp. 256-264
Author(s):  
Dinkar Sharma ◽  
Ramandeep Kaur
Keyword(s):  
Stress Field ◽  
Hollow Cylinder ◽  
Numerical Study ◽  
Axial Stress ◽  
Circumferential Stress ◽  
Functionally Graded ◽  
Gradient Index ◽  
Variable Parameters ◽  
Graded Material ◽  
Governing Differential Equation

AbstractThis paper presents, numerical study of stress field in functionally graded material (FGM) hollow cylinder by using finite element method (FEM). The FGM cylinder is subjected to internal pressure and uniform heat generation. Thermoelastic material properties of FGM cylinder are assumed to vary along radius of cylinder as an exponential function of radius. The governing differential equation is solved numerically by FEM for isotropic and anistropic hollow cylinder. Additionally, the effect of material gradient index (β) on normalized radial stresses, normalized circumferential stress and normalized axial stress are evaluated and shown graphically. The behaviour of stress versus normalized radius of cylinder is plotted for different values of Poisson’s ratio and temperature. The graphical results shown that stress field in FGM cylinder is influenced by some of above mentioned parameters.

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.

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