Thermal Buckling Analysis of Circular FGP with Actuator/Actuator Piezoelectric Layers Based on Neutral Plane Method

2012 ◽  
Vol 29 (1) ◽  
pp. 157-167 ◽  
Author(s):  
M. M. Najafizadeh ◽  
M. Malmorad ◽  
A. Sharifi ◽  
A. Joodaky
Keyword(s):  
Thermal Loading ◽  
Thermal Buckling ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Neutral Plane ◽  
Functionally Graded Plates ◽  
Temperature Changes ◽  
First Order ◽  
Piezoelectric Layers ◽  
Nonlinear Temperature

AbstractIn this research, thermal buckling analysis of circular functionally graded plates with Actuator/Actuator piezoelectric layers (FGPs) is studied based on neutral plane, classical and first order shear deformation plate theories. Mechanical properties of the plate are considered as those of Reddy Model. Plate is assumed to be under thermal loading. Nonlinear temperature rises through the thickness and boundary conditions are considered clamped. Equilibrium and stability equations have been derived using calculus of variations and application of Euler equations. Finally, critical buckling temperature changes are studied based on the mentioned theories for a sample plate. An appropriate agreement is seen among the present results and the results of other researches.

scholarly journals Finite Element Analysis of the Deformation of Functionally Graded Plates under Thermomechanical Loads

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
A. E. Alshorbagy ◽  
S. S. Alieldin ◽  
M. Shaat ◽  
F. F. Mahmoud
Keyword(s):  
Volume Fraction ◽  
Thermomechanical Behavior ◽  
Functionally Graded ◽  
Neutral Plane ◽  
Functionally Graded Plates ◽  
Element Analysis ◽  
Graded Materials ◽  
First Order ◽  
Fg Plates ◽  
Continuous Power

The first-order shear deformation plate model, accounting for the exact neutral plane position, is exploited to investigate the uncoupled thermomechanical behavior of functionally graded (FG) plates. Functionally graded materials are mainly constructed to operate in high temperature environments. Also, FG plates are used in many applications (such as mechanical, electrical, and magnetic), where an amount of heat may be generated into the FG plate whenever other forms of energy (electrical, magnetic, etc.) are converted into thermal energy. Several simulations are performed to study the behavior of FG plates, subjected to thermomechanical loadings, and focus the attention on the effect of the heat source intensity. Most of the previous studies have considered the midplane neutral one, while the actual position of neutral plane for functionally graded plates is shifted and should be firstly determined. A comparative study is performed to illustrate the effect of considering the neutral plane position. The volume fraction of the two constituent materials of the FG plate is varied smoothly and continuously, as a continuous power function of the material position, along the thickness of the plate.

scholarly journals Thermoelastic stability of thick imperfect functionally graded plates

2010 ◽  
Vol 32 (1) ◽  
pp. 47-58 ◽  
Author(s):  
Hoang Van Tung ◽  
Nguyen Dinh Duc
Keyword(s):  
Shear Deformation ◽  
Thermal Loading ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Power Law Distribution ◽  
Functionally Graded Plate ◽  
Closed Form Solutions ◽  
Geometrical Imperfection ◽  
Nonlinear Temperature

This paper investigates buckling of thick functionally graded plates with initial geometrical imperfection under thermal loadings. The equilibrium, stability, and compatibility equations of an imperfect functionally graded plate are derived using the third order shear deformation theory. Material properties are assumed to be temperature-independent and graded in the thickness direction according to a simple power law distribution in terms of the thickness coordinate variable. By Galerkin method, the resulting equations are solved to obtain closed-form solutions of critical buckling temperature difference. Two types of thermal loading, uniform temperature rise and nonlinear temperature change across the thickness are considered. Buckling analysis for a simply supported rectangular imperfect functionally graded plate shows effects of geometry and material parameters, shear deformation and imperfection on critical buckling temperature.

Sign in / Sign up

Export Citation Format

Share Document