Generalized Fractional Heat Conduction in a One-Dimensional Functionally Graded Material Layer

2019 ◽  
Vol 33 (4) ◽  
pp. 946-956 ◽  
Author(s):  
Xue-Yang Zhang ◽  
Zeng-Tao Chen ◽  
Xian-Fang Li
Keyword(s):  
Heat Conduction ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
One Dimensional ◽  
Material Layer ◽  
Graded Material ◽  
Fractional Heat Conduction

The Elastic-Viscoelastic Correspondence Principle for Functionally Graded Materials, Revisited

2003 ◽  
Vol 70 (3) ◽  
pp. 359-363 ◽  
Author(s):  
S. Mukherjee ◽  
Glaucio H. Paulino
Keyword(s):  
Functionally Graded Materials ◽  
Functionally Graded Material ◽  
Correspondence Principle ◽  
Functionally Graded ◽  
Graded Materials ◽  
One Dimensional ◽  
Space And Time ◽  
Graded Material ◽  
Nonhomogeneous Materials ◽  
Exponentially Graded

Paulino and Jin [Paulino, G. H., and Jin, Z.-H., 2001, “Correspondence Principle in Viscoelastic Functionally Graded Materials,” ASME J. Appl. Mech., 68, pp. 129–132], have recently shown that the viscoelastic correspondence principle remains valid for a linearly isotropic viscoelastic functionally graded material with separable relaxation (or creep) functions in space and time. This paper revisits this issue by addressing some subtle points regarding this result and examines the reasons behind the success or failure of the correspondence principle for viscoelastic functionally graded materials. For the inseparable class of nonhomogeneous materials, the correspondence principle fails because of an inconsistency between the replacements of the moduli and of their derivatives. A simple but informative one-dimensional example, involving an exponentially graded material, is used to further clarify these reasons.

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.

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.

Effect of initial stress on Love waves in a piezoelectric structure carrying a functionally graded material layer

Ultrasonics ◽  
2010 ◽  
Vol 50 (1) ◽  
pp. 84-90 ◽  
Author(s):  
Zheng-Hua Qian ◽  
Feng Jin ◽  
Tianjian Lu ◽  
Kikuo Kishimoto ◽  
Sohichi Hirose
Keyword(s):  
Initial Stress ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Love Waves ◽  
Material Layer ◽  
Piezoelectric Structure ◽  
Graded Material
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