Journal ArticleDOI
Geometrically Non-linear Analysis of Functionally Graded Material (FGM) Plates and Shells using a Four-node Quasi-Conforming Shell Element
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In this article, the effect of volume fraction of the constituent materials in the mechanical behavior of FGM plates and shells is investigated, where the material properties are assumed to be varied in the thickness direction according to a sigmoid function in terms of the volume fraction.Abstract:
The four-node quasi-conforming shell element was extended in the present article to the case of geometrically non-linear behavior of the FGM plates and shells. The high stress occurring in the FGM structures will affect its integrity and the structures is susceptible to failure. Therefore, we focus on the effect of volume fraction of the constituent materials in the mechanical behavior of FGM plates and shells. The material properties are assumed to be varied in the thickness direction according to a sigmoid function in terms of the volume fraction of the constituents. The series solutions of sigmoid FGM (S-FGM) plates, based on the first-order shear deformation theory and Fourier series expansion are provided as the reference solution for the numerical results. In quasi-conforming formulation, the tangent stiffness matrix is explicitly integrated. This makes the element computationally efficient in the non-linear analysis. Several selected examples of non-linear analysis of FGM shells are included in the...read more
Citations
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Journal ArticleDOI
A review of theories for the modeling and analysis of functionally graded plates and shells
Huu-Tai Thai,Seung-Eock Kim +1 more
TL;DR: A comprehensive review of various theories for the modeling and analysis of functionally graded plates and shells is presented in this paper, where a thorough review of the literature related to the development of three-dimensional elasticity solutions and a unified formulation is also presented.
Journal ArticleDOI
Finite element analysis of thermoelastic field in a rotating FGM circular disk
A.M. Afsar,J. Go +1 more
TL;DR: In this paper, a finite element analysis of the thermoelastic field in a thin circular functionally graded material (FGM) disk subjected to a thermal load and an inertia force due to rotation of the disk is presented.
Journal ArticleDOI
Effect of colloidal silica on the strength and energy absorption of glass fiber/epoxy interphases
TL;DR: In this paper, the role of sizing chemistry and surface roughness on composite material performance was explained and a microdroplet adhesion test method was used to quantify the fiber-matrix interfacial properties.
Journal ArticleDOI
Non-linear bending analysis of nanocomposites reinforced by graphene-nanotubes with finite shell element and membrane enhancement
Journal ArticleDOI
Material distribution and sizing optimization of functionally graded plate-shell structures
José Mateus Simões Moita,Aurélio L. Araújo,Victor M. Franco Correia,Cristóvão M. Mota Soares,José Herskovits,José Herskovits +5 more
TL;DR: In this paper, a high order shear deformation theory is used to develop a discrete model for the structural and sensitivity analyses allowing for the material distribution and sizing optimization of functionally graded material (FGM) structures.
References
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Book
Finite Element Procedures
TL;DR: The Finite Element Method as mentioned in this paper is a method for linear analysis in solid and structural mechanics, and it has been used in many applications, such as heat transfer, field problems, and Incompressible Fluid Flows.
Journal ArticleDOI
A fast incremental/iterative solution procedure that handles "snap-through"
TL;DR: In this article, a modified version of the Newton-Raphson method is proposed to overcome limit points in the finite element method with a fixed load level and a constraint equation.
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
Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
G. N. Praveen,J. N. Reddy +1 more
TL;DR: In this paper, the static and dynamic response of the functionally graded material (fgm) plates are investigated by varying the volume fraction of the ceramic and metallic constituents using a simple power law distribution.
Journal ArticleDOI
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.
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