Journal ArticleDOI
Thermomechanical analysis of functionally graded cylinders and plates
J. N. Reddy,C. D. Chin +1 more
TLDR
In this paper, the dynamic thermoelastic response of functionally graded cylinders and plates is studied, and a finite element model of the formulation is developed, where the heat conduction and the thermo-elastic equations are solved for a functionally graded axisymmetric cylinder subjected to thermal loading.Abstract:
The dynamic thermoelastic response of functionally graded cylinders and plates is studied. Thermomechanical coupling is included in the formulation, and a finite element model of the formulation is developed. The heat conduction and the thermoelastic equations are solved for a functionally graded axisymmetric cylinder subjected to thermal loading. In addition, a thermoelastic boundary value problem using the first-order shear deformation plate theory (FSDT) that accounts for the transverse shear strains and the rotations, coupled with a three-dimensional heat conduction equation, is formulated for a functionally graded plate. Both problems are studied by varying the volume fraction of a ceramic and a metal using a power law distribution.read more
Citations
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Journal ArticleDOI
Analysis of functionally graded plates
TL;DR: In this paper, Navier's solutions of rectangular plates, and finite element models based on the third-order shear deformation plate theory are presented for the analysis of through-thickness functionally graded plates.
Journal ArticleDOI
Modeling and Analysis of Functionally Graded Materials and Structures
Victor Birman,Larry W. Byrd +1 more
TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
Journal ArticleDOI
A new beam finite element for the analysis of functionally graded materials
TL;DR: In this article, a beam element based on first-order shear deformation theory is developed to study the thermoelastic behavior of functionally graded beam structures, and the stiffness matrix has super-convergent property and the element is free of shear locking.
Journal ArticleDOI
Generalized shear deformation theory for bending analysis of functionally graded plates
TL;DR: In this article, the static response of a simply supported rectangular plate subjected to a transverse uniform load is presented for a simple supported functionally graded rectangular plate, where material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents.
Journal ArticleDOI
Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique
A. M. A. Neves,António Ferreira,Erasmo Carrera,Maria Cinefra,C.M.C. Roque,Renato Natal Jorge,Cristóvão M. Mota Soares +6 more
TL;DR: In this paper, a higher-order shear deformation theory for modeling functionally graded plates accounting for extensibility in the thickness direction is derived, and the explicit governing equations and boundary conditions are obtained using the principle of virtual displacements under Carrera's Unified Formulation.
References
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Book
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TL;DR: Second-order Differential Equations in One Dimension: Finite Element Models (FEM) as discussed by the authors is a generalization of the second-order differential equation in two dimensions.
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Mechanics of laminated composite plates : theory and analysis
TL;DR: In this paper, the authors present a one-dimensional analysis of fiber-reinforced composite materials and their properties, including the properties of the components of a Lamina and their relationship with other components.
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The crack problem for a nonhomogeneous plane
Feridun Delale,Fazil Erdogan +1 more
TL;DR: In this article, the authors considered the plane elasticity problem for a nonhomogeneous medium containing a crack and derived the integral equation having the derivative of the crack surface displacement as the density function.