Journal ArticleDOI
A Green's function approach to the deflection of a FGM plate under transient thermal loading
K.-S. Kim,Naotake Noda +1 more
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TLDR
In this paper, the eigenfunctions of Green's function for the transient temperature distribution of a plate made of functionally graded materials (FGMs) were derived from the continuity conditions of the temperature and the heat flux at interfaces.Abstract:
Green's function approach is adopted for analyzing the deflection and the transient temperature distribution of a plate made of functionally graded materials (FGMs). The governing equations for the deflection and the transient temperature are formulated into eigenvalue problems by using the eigenfunction expansion theory. Green's functions for solving the deflection and the transient temperature are obtained by using the Galerkin method and the laminate theory, respectively. The eigenfunctions of Green's function for the deflection are approximated in terms of a series of admissible functions that satisfy the homogeneous boundary conditions of the plate. The eigenfunctions of Green's function for the temperature are determined from the continuity conditions of the temperature and the heat flux at interfaces.read more
Citations
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Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads
TL;DR: In this paper, a general analysis of one-dimensional steady-state thermal stresses in a hollow thick cylinder made of functionally graded material is developed, where the temperature distribution is assumed to be a function of radius, with general thermal and mechanical boundary conditions along the inside and outside surfaces.
Journal ArticleDOI
Nonlinear vibration and dynamic response of functionally graded plates in thermal environments
Xiao-Lin Huang,Hui-Shen Shen +1 more
TL;DR: In this paper, the nonlinear vibration and dynamic response of functional graded material plates in thermal environments were investigated, where heat conduction and temperature-dependent material properties were both taken into account.
Journal ArticleDOI
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review
K. Swaminathan,D.T. Naveenkumar,Ashraf M. Zenkour,Ashraf M. Zenkour,Erasmo Carrera,Erasmo Carrera +5 more
TL;DR: In this article, a comprehensive review of the various methods employed to study the static, dynamic and stability behavior of Functionally Graded Material (FGM) plates is presented with an emphasis to present stress, vibration and buckling characteristics of FGM plates predicted using different theories.
Journal ArticleDOI
Thermal and mechanical stresses in a functionally graded thick sphere
TL;DR: In this article, a general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of functionally graded material is presented, where the temperature distribution is assumed to be a function of radius.
Journal ArticleDOI
Mechanical and thermal stresses of a functionally graded circular hollow cylinder with finite length
TL;DR: In this article, the solutions of temperature, displacements, and thermal/mechanical stresses in a functionally graded circular hollow cylinder are presented by using a multi-layered approach based on the theory of laminated composites.
References
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Book
Heat Conduction Using Green's Function
TL;DR: Green's Functions Heat Flux and Temperature Differential Energy Equation Boundary and Initial Conditions Integral Energy Equations Dirac Delta Function Steady Heat Conduction in One Dimension GF in the Infinite One-Dimensional Body Temperature in an Infinite 1-Ddimensional Body Two Interpretations of Green's Functions Temperature in Semi-Infinite Bodies Flat Plates Properties Common to Transient Green's Function Heterogeneous Bodies Anisotropic Bodies Transformations Non-Fourier Heat Fluid Flow in Ducts as mentioned in this paper Non-fourier heat Conduction Number
Journal ArticleDOI
Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material
Yoshihiro Obata,Naotake Noda +1 more
TL;DR: In this paper, the steady thermal stresses in a hollow circular cylinder and a hollow sphere made of a functionally gradient material (FGM) were considered and compared with those of a FGM plate.
Journal ArticleDOI
Some basic thermoelastic problems for nonhomogeneous structural materials
TL;DR: In this paper, the authors focus on the method of analytical development of thermoelastic problems for nonhomogeneous materials, such as functionally gradient materials (FGM), for which both the thermal and mechanical material constants are described by the function of the variable of the coordinate system.
Journal ArticleDOI
Transient heat conduction and thermal stress problems of a nonhomogeneous plate with temperature-dependent material properties
TL;DR: In this article, a nonhomogeneous plate made of Zirconium Oxide and Titanium alloy is analyzed theoretically, and the thermal stress distribution is formulated under the mechanical of traction-free condition.
Journal ArticleDOI
Unsteady thermal stresses in a functionally gradient material plate - Analysis of one-dimensional unsteady heat transfer problem
Yoshihiro Obata,Naotake Noda +1 more
TL;DR: In this paper, a new analytical method of one-dimensional unsteady heat transfer problem for heterogeneous materials was proposed and the accuracy of this method was examined for the functionally gradient material composed of ZrO2 and Ti-6Al-4V.
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Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
G. N. Praveen,J. N. Reddy +1 more