Analysis of Thermoelastic Damping of Functionally Graded Material Micro Plate Based on the Mindlin Plate Theory

2020 ◽  
Vol 865 ◽  
pp. 67-71
Author(s):  
Shi Rong Li ◽  
Peng Xiong ◽  
Da Fu Cao
Keyword(s):  
Heat Conduction ◽  
Functionally Graded Material ◽  
Heat Conduction Equation ◽  
Plate Theory ◽  
Functionally Graded ◽  
Conduction Equation ◽  
Mindlin Plate ◽  
Thermoelastic Damping ◽  
Graded Material ◽  
Mindlin Plate Theory

In this paper, thermoelastic damping (TED) in a simply supported rectangular functionally graded material (FGM) micro plate with continuous variation of the material properties along the thickness direction is performed. The equations of motion and the heat conduction equation coupled with the thermal effects are derived based on the Mindlin plate theory and the one-way coupled heat conduction theory, respectively. The heat conduction equation with variable coefficients is solved by using the layer-wise homogenization approach. Analytical solution of TED is obtained by complex frequency method. Numerical results of TED are presented for the rectangular FGM micro plate made of ceramic-metal constituents with the power-law gradient profile. The effects of the shear deformation, the material gradient index, the plate thickness on the TED of the FGM micro plate are studied.

Nonlinear thermo-mechanical buckling of higher-order shear deformable porous functionally graded material plates reinforced by orthogonal and/or oblique stiffeners

2019 ◽  
Vol 233 (17) ◽  
pp. 6177-6196 ◽  
Author(s):  
Vu Hoai Nam ◽  
Nguyen Thi Phuong ◽  
Dang Thuy Dong ◽  
Nguyen Thoi Trung ◽  
Nguyen Van Tue
Keyword(s):  
Shear Deformation ◽  
Elastic Foundation ◽  
Functionally Graded Material ◽  
Thermal Environment ◽  
Plate Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Shear Deformation Plate Theory ◽  
Graded Material ◽  
Post Buckling

In this paper, an analytical approach for nonlinear buckling and post-buckling behavior of stiffened porous functionally graded plate rested on Pasternak's elastic foundation under mechanical load in thermal environment is presented. The orthogonal and/or oblique stiffeners are attached to the surface of plate and are included in the calculation by improving the Lekhnitskii's smeared stiffener technique in the framework of higher-order shear deformation plate theory. The complex equilibrium and stability equations are established based on the Reddy's higher-order shear deformation plate theory and taken into account the geometrical nonlinearity of von Kármán. The solution forms of displacements satisfying the different boundary conditions are chosen, the stress function method and the Galerkin procedure are used to solve the problem. The good agreements of the present analytical solution are validated by making the comparisons of the present results with other results. In addition, the effects of porosity distribution, stiffener, volume fraction index, thermal environment, elastic foundation… on the critical buckling load and post-buckling response of porous functionally graded material plates are numerically investigated.

Analysis of thermoelastic damping of functionally graded material beam resonators

2017 ◽  
Vol 182 ◽  
pp. 728-736 ◽  
Author(s):  
Shi-Rong Li ◽  
Xin Xu ◽  
Shun Chen
Keyword(s):  
Functionally Graded Material ◽  
Functionally Graded ◽  
Thermoelastic Damping ◽  
Graded Material

scholarly journals Free vibration and buckling of bidirectional functionally graded sandwich plates using an efficient Q9 element

2021 ◽  
Author(s):  
Le Cong Ich ◽  
Tran Quang Dung ◽  
Pham Vu Nam ◽  
Nguyen Dinh Kien
Keyword(s):  
Free Vibration ◽  
Plate Theory ◽  
Functionally Graded ◽  
Mindlin Plate ◽  
Sandwich Plates ◽  
Various Boundary Conditions ◽  
Fundamental Frequencies ◽  
Numerical Result ◽  
Three Phase ◽  
Graded Material

Free vibration and buckling of three-phase bidirectional functionally graded sandwich (BFGSW) plates are studied in this paper for the first time by using an efficient nine-node quadrilateral (Q9) element. The core of the sandwich plates is pure ceramic, while the two skin layers are of a three-phase bidirectional functionally graded material. The element is derived on the basis of the Mindlin plate theory and linked interpolations. Fundamental frequencies and buckling loads are computed for the plates with various boundary conditions. Numerical result shows that convergence of the linked interpolation element is faster compared to the conventional Lagrangian interpolation Q9 element. Numerical investigations are carried out to highlight the influence of the material gradation and the side-to-thickness ratio on the vibration and buckling behaviour of the plates.

General Solution for Equation of Transient Heat Conduction in Functionally Graded Material Hollow Cylinder With Piezoelectric Internal and External Layers

2017 ◽  
Vol 139 (5) ◽  
Author(s):  
M. Jabbari ◽  
M. A. Kiani
Keyword(s):  
Heat Conduction ◽  
Hollow Cylinder ◽  
Functionally Graded Material ◽  
Separation Of Variables ◽  
Transient Heat Conduction ◽  
Two Dimensions ◽  
Functionally Graded ◽  
Power Functions ◽  
Generalized Bessel Function ◽  
Graded Material

In this paper, the exact solution of the equation of transient heat conduction in two dimensions for a hollow cylinder made of functionally graded material (FGM) and piezoelectric layers is developed. Temperature distribution, as function of radial and circumferential directions and time, is analytically obtained for different layers, using the method of separation of variables and generalized Bessel function. The FGM properties are assumed to depend on the variable r, and they are expressed as power functions of r.

Element-Free Spline Method for the Vibration Analysis of Functionally Graded Material Plate

2011 ◽  
Vol 250-253 ◽  
pp. 1899-1905
Author(s):  
Shuang Bei Li ◽  
Chun Feng Jia ◽  
Lin Jie Jiang ◽  
Rong Qin
Keyword(s):  
Functionally Graded Material ◽  
Vibration Analysis ◽  
Plate Theory ◽  
Computational Cost ◽  
Functionally Graded ◽  
Vibration Frequencies ◽  
Spline Method ◽  
Spline Basis ◽  
Graded Material ◽  
Element Free

The element-free spline method is proposed to analyze the vibration of the functionally graded material (FGM) plate with various boundaries. The field functions are constructed by using the linear combination of double B-spline basis functions together with mixed displacement parameters and then an equation based on Reddy's third order plate theory is developed for the vibration analysis of the FGM plate. The validity of the proposed method is illustrated by some numerical examples. Six lower vibration frequencies of FGM plate are calculated under various boundaries and the influence of boundary condition and material gradient on vibration frequencies are also discussed. The proposed method needs less computational cost and has high accuracy.

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