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Refined shell elements for the analysis of functionally graded structures

Maria Cinefra, +3 more
- 01 Jan 2012 - 
- Vol. 94, Iss: 2, pp 415-422
TLDR
In this paper, the static analysis of plates and shells made of Functionally Graded Material (FGM), subjected to mechanical loads, is considered. And the results are compared with both benchmark solutions from literature and the results obtained using the Navier method that provides the analytical solution for simply supported structures subjected to sinusoidal pressure loads.
About: 
This article is published in Composite Structures.The article was published on 2012-01-01 and is currently open access. It has received 73 citations till now. The article focuses on the topics: Functionally graded material & Finite element method.

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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, +1 more
- 15 Sep 2015 - 
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

Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review

K. Swaminathan, +5 more
- 01 Feb 2015 - 
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

Static analyses of FGM beams by various theories and finite elements

Matteo Filippi, +4 more
- 01 Apr 2015 - 
TL;DR: In this paper, the 1D Carrera Unified Formulation (CUF) is used to perform static analyses of functionally graded (FG) structures and the results are compared with 1-, 2-and 3-D solutions both in terms of displacements and stress distributions.
Journal ArticleDOI

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Loc V. Tran, +5 more
- 01 Jun 2015 - 
TL;DR: In this article, a novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and higher-order shear deformation theory (HSDT) is proposed to study the free vibration of cracked functionally graded material (FGM) plates.
Journal ArticleDOI

Natural frequencies and critical temperatures of functionally graded sandwich plates subjected to uniform and non-uniform temperature distributions

Fiorenzo A. Fazzolari
- 01 Mar 2015 - 
TL;DR: In this paper, free vibration and thermal stability analyzes of functionally graded (FG) sandwich plates are carried out by using the advanced Hierarchical Trigonometric Ritz Formulation (HTRF).
References
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Journal ArticleDOI

Average stress in matrix and average elastic energy of materials with misfitting inclusions

Trevor A. Mori, +1 more
- 01 May 1973 - 
TL;DR: In this paper, a method of calculating the average internal stress in the matrix of a material containing inclusions with transformation strain is presented. But the authors do not consider the effects of the interaction among the inclusions and of the presence of the free boundary.
Book

Finite Element Analysis

B. A. Szabó, +1 more
TL;DR: In this article, the authors present a general solution based on the principle of virtual work for two-dimensional linear elasticity problems and their convergence rates in one-dimensional dimensions. But they do not consider the case of three-dimensional LEL problems.
Journal ArticleDOI

A new approach to the application of Mori-Tanaka's theory in composite materials

Y. Benveniste
- 01 Jun 1987 - 
TL;DR: In this paper, a reconsideration and reformulation of the Mori-Tanaka's theory in its application to the computation of the effective properties of composites is presented, which is a straightforward exposition and interpretation of the method which are different than those existing in previous formulations.
Journal ArticleDOI

A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics

Satya N. Atluri, +1 more
- 24 Aug 1998 - 
TL;DR: In this article, a local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF and the moving least squares approximation, is presented for solving potential problems with high accuracy.
Journal ArticleDOI

Thermomechanical analysis of functionally graded cylinders and plates

J. N. Reddy, +1 more
- 01 Sep 1998 - 
TL;DR: 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.
Related Papers (5)

Theories and Finite Elements for Multilayered Plates and Shells:A Unified compact formulation with numerical assessment and benchmarking

Erasmo Carrera
- 01 Sep 2003 - 

Analysis of functionally graded plates

J. N. Reddy
- 10 Jan 2000 - 

Three-dimensional exact solution for the vibration of functionally graded rectangular plates

Senthil S. Vel, +1 more
- 06 May 2004 - 

A Simple Higher-Order Theory for Laminated Composite Plates

J. N. Reddy
- 01 Dec 1984 - 

A higher-order shear deformation theory of laminated elastic shells

J. N. Reddy, +1 more
- 01 Jan 1985 - 
Frequently Asked Questions (1)
Q1. What are the contributions mentioned in the paper "Refined shell elements for the analysis of functionally graded structures" ?

In this paper, the authors propose a shell finite element based on the refined bi-dimensional theories contained in the Carrera ’ s Unified Formulation ( CUF ) [ 3 ] to perform the mechanical E. Carrera, M. Cinefra, L. Della Croce and C. Chinosi 2 analysis of FGM structures. In this work, nine-nodes finite elements and the exact geometry of cylindrical shells are considered. A number of examples are carried out in this work to show the efficiency and robustness of CUF shell finite element.