Mechanical and Thermal Stresses in FGPPM Hollow Cylinder Due to Radially Symmetric Loads

2015 ◽  
Vol 138 (1) ◽  
Author(s):  
M. Jabbari ◽  
M. Meshkini ◽  
M. R. Eslami
Keyword(s):  
Power Law ◽  
Thermal Stresses ◽  
Poisson Ratio ◽  
Piezoelectric Materials ◽  
Direct Method ◽  
Functionally Graded ◽  
Complex Fourier Series ◽  
Thick Cylinder ◽  
A Direct Method ◽  
Radial Variable

In this paper, the general solution of steady-state 1D radially symmetric mechanical and thermal stresses and electrical and mechanical displacements for a hollow thick cylinder made of fluid-saturated functionally graded poro piezoelectric materials (FGPPMs) is developed. The general form of thermal and mechanical boundary conditions is considered on the inside and outside surfaces. A direct method is used to solve the heat conduction equation and nonhomogenous system of partial differential Navier equations, using complex Fourier series and power law functions method. The material properties, except the Poisson ratio, are assumed to depend on the radial variable r and they are expressed as power law functions.

Nonaxisymmetric Mechanical and Thermal Stresses in FGPPM Hollow Cylinder

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
M. Jabbari ◽  
M. Meshkini ◽  
M. R. Eslami
Keyword(s):  
Power Law ◽  
Material Properties ◽  
Heat Conduction Equation ◽  
Thermal Stresses ◽  
Direct Method ◽  
Functionally Graded ◽  
Complex Fourier Series ◽  
Thick Cylinder ◽  
A Direct Method ◽  
Radial Variable

In this paper, the general solution of steady-state 2D nonaxisymmetric mechanical and thermal stresses and electrical and mechanical displacements of a hollow thick cylinder made of fluid-saturated functionally graded porous piezoelectric material (FGPPM) is presented. The general form of thermal and mechanical boundary conditions is considered on the inside and outside surfaces. A direct method is used to solve the heat conduction equation and the nonhomogenous system of partial differential Navier equations, using the complex Fourier series and the power law functions method. The material properties, except Poisson's ratio, are assumed to depend on the radial variable and they are expressed as power law functions along the radial direction.

General Solution for Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder due to Nonaxisymmetric Steady-State Loads

2003 ◽  
Vol 70 (1) ◽  
pp. 111-118 ◽  
Author(s):  
M. Jabbari ◽  
S. Sohrabpour ◽  
M. R. Eslami
Keyword(s):  
Steady State ◽  
Material Properties ◽  
Thermal Stresses ◽  
Separation Of Variables ◽  
Functionally Graded ◽  
Two Dimensional ◽  
Power Functions ◽  
Complex Fourier Series ◽  
Graded Material ◽  
Thick Cylinder

In this paper, the general theoretical analysis of two-dimensional steady-state thermal stresses for a hollow thick cylinder made of functionally graded material is developed. The temperature distribution is assumed to be a function of radial and circumferential directions with general thermal and mechanical boundary conditions on the inside and outside surfaces. The material properties, except Poisson’s ratio, are assumed to depend on the variable r and they are expressed as power functions of r. The separation of variables and complex Fourier series are used to solve the heat conduction and Navier equations.

scholarly journals Thermal Stresses Due to Non-Uniform Internal Heat Generation in Functionally Graded Hollow Cylinder

2021 ◽  
Vol 26 (2) ◽  
pp. 186-200
Author(s):  
P. Rani ◽  
K. Singh ◽  
R. Muwal
Keyword(s):  
Heat Generation ◽  
Power Law ◽  
Analytical Solutions ◽  
Thermal Stresses ◽  
Internal Heat ◽  
Theory Of Elasticity ◽  
Internal Heat Generation ◽  
Functionally Graded ◽  
Thick Cylinder ◽  
Power Law Index

Abstract Thermal stresses of a functionally graded hollow thick cylinder due to non-uniform internal heat generation are studied in this paper. Analytical solutions are obtained with radially varying properties by using the theory of elasticity. Thermal stresses distribution for different values of the powers of the module of elasticity and varying power law index of heat generation are studied. The results have been computed numerically and illustrated graphically.

scholarly journals Optimum response of functionally graded piezoelectric plates in thermal environments

2017 ◽  
Vol 35 (3) ◽  
pp. 606-617 ◽  
Author(s):  
Hossein Nourmohammadi ◽  
Bashir Behjat
Keyword(s):  
Power Law ◽  
Thermal Loading ◽  
Volume Fraction ◽  
Plate Theory ◽  
Poisson Ratio ◽  
Functionally Graded ◽  
Sensors And Actuators ◽  
Thermal Environments ◽  
Functionally Graded Piezoelectric ◽  
Power Law Index

AbstractIn this article, the static response of the functionally graded piezoelectric (FGP) plates with piezoelectric layers (sandwich FGPM) is studied based on the first order shear deformation plate theory. The plate is under mechanical, electrical and thermal loadings and finite element method is employed to obtain the solution of the equation. All mechanical, thermal and piezoelectric properties, except Poisson ratio, obey the power law distribution through the thickness. By solving the governing equation, optimum value of power law index is investigated in each type of loading. The effects of different volume fraction index, layer arrangements, various boundary conditions and different loading types, are studied on the deflection of FGPM plate. It is inferred that, the correlations between the deflection, power law index and layer arrangement are completely different in the mechanical and thermal loading and the optimum value of the power law index should be selected in each case separately. This optimum values can be used as a design criterion to build a reliable sensors and actuators in thermal environments.

Thermal Stresses in Infinite Elastic Disks

1956 ◽  
Vol 23 (4) ◽  
pp. 527-531
Author(s):  
Brahmadev Sharma
Keyword(s):  
Thermal Stress ◽  
Thermal Stresses ◽  
Direct Method ◽  
Finite Thickness ◽  
A Direct Method

Abstract A direct method of solving problems of thermal stress in a disk of finite thickness and infinite radius is discussed in this paper.

One-Dimensional Moving Heat Source in a Hollow FGM Cylinder

2008 ◽  
Vol 131 (2) ◽  
Author(s):  
M. Jabbari ◽  
A. H. Mohazzab ◽  
A. Bahtui
Keyword(s):  
Heat Source ◽  
Hollow Cylinder ◽  
Thermal Stresses ◽  
Direct Method ◽  
Functionally Graded ◽  
Moving Heat Source ◽  
Power Functions ◽  
One Dimensional ◽  
Generalized Bessel Function ◽  
Graded Material

This paper presents the analytical solution of one-dimensional mechanical and thermal stresses for a hollow cylinder made of functionally graded material. The material properties vary continuously across the thickness, according to the power functions of radial direction. Temperature distribution is symmetric and transient. The thermal boundary conditions may include conduction, flux, and convection for inside or outside of a hollow cylinder. The thermoelasticity equation is transient, including the moving heat source. The heat conduction and Navier equations are solved analytically, using the generalized Bessel function. A direct method of solution of Navier equation is presented.

Two-Dimensional Stresses in a Hollow FG Sphere with Heat Source

2011 ◽  
Vol 264-265 ◽  
pp. 700-705 ◽  
Author(s):  
Amir Hossein Mohazzab ◽  
Mohsen Jabbari
Keyword(s):  
Steady State ◽  
Heat Source ◽  
Power Law ◽  
Thermal Stresses ◽  
Circumferential Stress ◽  
Functionally Graded ◽  
Power Functions ◽  
Legendre Series ◽  
Thermal Boundary Conditions ◽  
Power Law Index

This work studied the theoretical solution for axisymmetric steady-state mechanical and thermal stresses in hollow functionally graded spheres with respect to heat source. The material properties of the FG sphere change continuously across the thickness direction according to the power functions of radial direction. The steady-state temperature, displacements, and stresses are derived due to the general mechanical and thermal boundary conditions as function of radial and circumferential directions. The temperature and Navier equations are solved analytically, using Taylor and Legendre series. With increasing the power law indices the temperature distribution due to heat source is decreased. Circumferential stress and radial displacement due to heat source are decreased as the power law index increases.

scholarly journals Mechanical and Thermal Stresses in a FGPM Hollow Cylinder due to Radially Symmetric Loads

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
M. Jabbari ◽  
M. Meshkini ◽  
M. R. Eslami
Keyword(s):  
Fourier Series ◽  
Heat Conduction ◽  
Steady State ◽  
Material Properties ◽  
Radial Direction ◽  
Thermal Stresses ◽  
Functionally Graded ◽  
Power Functions ◽  
One Dimensional ◽  
Complex Fourier Series

The general solution of steady-state on one-dimensional Axisymmetric mechanical and thermal stresses for a hollow thick made of cylinder Functionally Graded porous material is developed. Temperature, as functions of the radial direction with general thermal and mechanical boundary-conditions on the inside and outside surfaces. A standard method is used to solve a nonhomogenous system of partial differential Navier equations with nonconstant coefficients, using complex Fourier series, rather power functions method and solve the heat conduction. The material properties, except poisson's ratio, are assumed to depend on the variable , and they are expressed as power functions of .

scholarly journals Dynamic stability of functionally graded plate under in-plane compression

2005 ◽  
Vol 2005 (4) ◽  
pp. 411-424 ◽  
Author(s):  
Andrzej Tylikowski
Keyword(s):  
Asymptotic Stability ◽  
Power Law ◽  
Volume Fraction ◽  
Direct Method ◽  
Functionally Graded ◽  
Time Dependent ◽  
Power Law Distribution ◽  
Graded Materials ◽  
Plane State ◽  
The Stability

Functionally graded materials have gained considerable attention in the high-temperature applications. A study of parametric vibrations of functionally graded plates subjected to in-plane time-dependent forces is presented. Moderately large deflection equations taking into account a coupling of in-plane and transverse motions are used. Material properties are graded in the thickness direction of the plate according to volume fraction power law distribution. An oscillating temperature causes generation of in-plane time-dependent forces destabilizing the plane state of the plate equilibrium. The asymptotic stability and almost-sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Liapunov's direct method. Effects of power law exponent on the stability domains are studied.

scholarly journals Thermoelastic Analysis of Functionally Graded Hollow Circular Disc

2015 ◽  
Vol 62 (1) ◽  
pp. 5-18 ◽  
Author(s):  
Dávid Gönczi ◽  
Istvàn Ecsedi
Keyword(s):  
Analytical Solution ◽  
Material Properties ◽  
Thermal Stresses ◽  
Poisson Ratio ◽  
Functionally Graded ◽  
Circular Disc ◽  
Radial Coordinate ◽  
Thermal Loads ◽  
Power Functions ◽  
Smooth Functions

Abstract A thermoelastic boundary value problem of a hollow circular disc made of functionally graded materials with arbitrary gradient is analysed. The steady-state temperature distribution is assumed to be the function of the radial coordinate with prescribed temperature at the inner and outer cylindrical boundary surfaces. The material properties are assumed to be arbitrary smooth functions of the radial coordinate. A coupled system of ordinary differential equations containing the radial displacement and stress function is derived and used to get the distribution of thermal stresses and radial displacements caused by axisymmetric mechanical and thermal loads. General analytical solutions of functionally graded disc with thermal loads are not available. The results obtained by the presented numerical method are verified by an analytical solution. The considered analytical solution is valid if the material properties, except the Poisson ratio, are expressed as power functions of the radial coordinate.

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