Dynamic and stability analysis of functionally graded material sandwich plates in hygro-thermal environment using a simple higher shear deformation theory

2019 ◽  
pp. 109963621984584 ◽  
Author(s):  
Hadjira Hellal ◽  
Mohamed Bourada ◽  
Habib Hebali ◽  
Fouad Bourada ◽  
Abdelouahed Tounsi ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Shear Deformation ◽  
Functionally Graded Material ◽  
Deformation Theory ◽  
Thermal Environment ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Graded Material

Vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation and third-order shear deformation theory under thermal environment

2020 ◽  
pp. 107754632095166
Author(s):  
Chih-Chiang Hong
Keyword(s):  
Shear Deformation ◽  
Functionally Graded Material ◽  
Deformation Theory ◽  
Cylindrical Shells ◽  
Homogeneous Equation ◽  
Nonlinear Coefficient ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Third Order ◽  
Graded Material

The effects of third-order shear deformation theory and varied shear correction coefficient on the vibration frequency of thick functionally graded material cylindrical shells with fully homogeneous equation under thermal environment are investigated. The nonlinear coefficient term of displacement field of third-order shear deformation theory is included to derive the fully homogeneous equation under free vibration of functionally graded material cylindrical shells. The determinant of the coefficient matrix in dynamic equilibrium differential equations under free vibration can be represented into the fully fifth-order polynomial equation, thus the natural frequency can be found. Two parametric effects of environment temperature and functionally graded material power law index on the natural frequency of functionally graded material thick cylindrical shells with and without the nonlinear coefficient term of displacement fields are computed and investigated.

Free vibration analysis of rotating functionally graded material plate under nonlinear thermal environment using higher order shear deformation theory

2018 ◽  
Vol 233 (6) ◽  
pp. 2056-2073 ◽  
Author(s):  
S Parida ◽  
SC Mohanty
Keyword(s):  
Free Vibration ◽  
Functionally Graded Material ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Volume Fraction ◽  
Thermal Environment ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Graded Material

In the present article, a higher order shear deformation theory is used to develop a finite element model for the free vibration analysis of a rotating functionally graded material plate in the thermal environment. The model is based on an eight-noded isoparametric element with seven degrees-of-freedom per node. The material properties are temperature dependent and graded along its thickness according to a simple power law distribution in terms of volume fraction of the constituents. The general displacement equation provides C0 continuity, and the transverse shear strain undergoes parabolic variation through the thickness of the plate. Therefore, the shear correction factor is not used in this theory. The obtained results are compared with the published results in the literature to determine the accuracy of the method. The effects of various parameters like hub radius, rotation speed, aspect ratio, thickness ratio, volume fraction index, and temperature on the frequency of rotating plate are investigated.

Buckling of Simply Supported Piezoelectric FGM Plates Subjected to Electro-Mechanical Loading Using Higher-Order Shear Deformation Theory

2012 ◽  
Vol 622-623 ◽  
pp. 200-205
Author(s):  
Kamal M. Bajoria ◽  
Priyanka A. Jadhav
Keyword(s):  
Stability Analysis ◽  
Functionally Graded Material ◽  
Material Properties ◽  
Deformation Theory ◽  
Piezoelectric Effect ◽  
Volume Fraction ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Simply Supported ◽  
Graded Material

This paper investigates the stability analysis of plates made of functionally graded material (FGM) and integrated with piezoelectric actuator and sensor at top and bottom face subjected to electrical and mechanical loading. The finite element formulation is presented using degenerated shell element, von-Karman hypothesis, higher-order shear deformation theory and considering the piezoelectric effect. The governing equilibrium equation is derived using the principle of minimum energy and solution for critical buckling load is obtained by solving Eigen value problem. The material properties of the FGM plates are assumed to be graded along the thickness direction according to simple power-law distribution in terms of the volume fraction of the constituents, while the poison’s ratio is assumed to be constant. Stability analysis is carried out on simply supported plate made of newly introduced metal based functionally graded material (FGM) i.e. mixture of aluminum and stainless steel which exhibits the two different material properties in single material i.e. high corrosion resistance as well as high strength. Results show that the buckling strength of plate increases with increase in volume fraction indices through the thickness and it can be further improved with the help of piezoelectric effect.

On the flexural and vibration behavior of imperfection sensitive higher order functionally graded material skew sandwich plates in thermal environment

2018 ◽  
Vol 233 (4) ◽  
pp. 1271-1288 ◽  
Author(s):  
Sanjay Singh Tomar ◽  
Mohammad Talha
Keyword(s):  
Functionally Graded Material ◽  
Volume Fraction ◽  
Thermal Environment ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Skew Angle ◽  
Vibration Behavior ◽  
Graded Material

This work presents an investigation on the flexural and vibration behavior of imperfection sensitive higher order functionally graded material skew sandwich plates in thermal environment. Material properties have been assumed to be temperature dependent and graded in transverse direction following the power law distribution. Reddy’s higher order shear deformation theory has been used to model displacement field kinematics of skew sandwich plate. Variational principle has been used for deriving the governing equations. Finite element methodology has been adopted to discretize plate domain. Convergence and comparison studies have been performed to demonstrate the reliability of present formulation. Effect of various system parameters such as thickness ratio, volume fraction index, skew angle, imperfection parameter, and boundary conditions on the flexural and vibration response have been investigated.

Sign in / Sign up

Export Citation Format

Share Document