Three-dimensional elastic deformation of functionally graded isotropic plates under point loading

B. E. Abali; C. Völlmecke; B. Woodward; M. Kashtalyan; I. Guz; W. H. Müller

doi:10.1016/j.compstruct.2014.07.013

Three-dimensional elastic deformation of functionally graded isotropic plates under point loading

B. E. Abali, C. Völlmecke, B. Woodward, M. Kashtalyan^* (Corresponding Author), I. Guz, W. H. Müller

^*Corresponding author for this work

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Abstract

In this paper, three-dimensional elastic deformation of isotropic functionally graded plates subjected to point loading is investigated using a combination of analytical and computational means. The analytical approach is based on the displacement functions method, while numerical modeling, which requires high accuracy in the representation of the point loading, uses GALERKIN type finite element method. Three different plate geometries are examined for validation purposes, and the difficulties associated with an optimum choice of the element size are discussed. It is shown that by using a posteriori error estimation based on the equivalent stress measure accurate results can be obtained even in the neighborhood of the point loading.

Original language	English
Pages (from-to)	367-376
Number of pages	10
Journal	Composite Structures
Volume	118
Early online date	19 Jul 2014
DOIs	https://doi.org/10.1016/j.compstruct.2014.07.013
Publication status	Published - 31 Dec 2014

Bibliographical note

Acknowledgement
Financial support of this research by The Royal Society (UK) under grant number JP090633 is gratefully acknowledged.

Keywords

Functionally graded materials (FGM)
Variational formulation
Finite element method
Heterogeneous materials
A posteriori error estimation
Adaptive refinement

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10.1016/j.compstruct.2014.07.013Licence: Unspecified

AURA manuscript
NOTICE: this is the author’s version of a work that was accepted for publication in Composite Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Composite Structures, VOL 118, 2014 DOI: 10.1016/j.compstruct.2014.07.013
Accepted author manuscript, 691 KBLicence: Unspecified

Maria Kashtalyan
- Engineering, Engineering - Personal Chair
- Engineering, Centre for Micro- and Nanomechanics (CEMINACS)
Person: Academic

Cite this

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title = "Three-dimensional elastic deformation of functionally graded isotropic plates under point loading",

abstract = "In this paper, three-dimensional elastic deformation of isotropic functionally graded plates subjected to point loading is investigated using a combination of analytical and computational means. The analytical approach is based on the displacement functions method, while numerical modeling, which requires high accuracy in the representation of the point loading, uses GALERKIN type finite element method. Three different plate geometries are examined for validation purposes, and the difficulties associated with an optimum choice of the element size are discussed. It is shown that by using a posteriori error estimation based on the equivalent stress measure accurate results can be obtained even in the neighborhood of the point loading. ",

keywords = "Functionally graded materials (FGM), Variational formulation, Finite element method, Heterogeneous materials, A posteriori error estimation, Adaptive refinement",

author = "Abali, {B. E.} and C. V{\"o}llmecke and B. Woodward and M. Kashtalyan and I. Guz and M{\"u}ller, {W. H.}",

note = "Acknowledgement Financial support of this research by The Royal Society (UK) under grant number JP090633 is gratefully acknowledged.",

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day = "31",

doi = "10.1016/j.compstruct.2014.07.013",

language = "English",

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T1 - Three-dimensional elastic deformation of functionally graded isotropic plates under point loading

AU - Abali, B. E.

AU - Völlmecke, C.

AU - Woodward, B.

AU - Kashtalyan, M.

AU - Guz, I.

AU - Müller, W. H.

N1 - Acknowledgement Financial support of this research by The Royal Society (UK) under grant number JP090633 is gratefully acknowledged.

PY - 2014/12/31

Y1 - 2014/12/31

N2 - In this paper, three-dimensional elastic deformation of isotropic functionally graded plates subjected to point loading is investigated using a combination of analytical and computational means. The analytical approach is based on the displacement functions method, while numerical modeling, which requires high accuracy in the representation of the point loading, uses GALERKIN type finite element method. Three different plate geometries are examined for validation purposes, and the difficulties associated with an optimum choice of the element size are discussed. It is shown that by using a posteriori error estimation based on the equivalent stress measure accurate results can be obtained even in the neighborhood of the point loading.

AB - In this paper, three-dimensional elastic deformation of isotropic functionally graded plates subjected to point loading is investigated using a combination of analytical and computational means. The analytical approach is based on the displacement functions method, while numerical modeling, which requires high accuracy in the representation of the point loading, uses GALERKIN type finite element method. Three different plate geometries are examined for validation purposes, and the difficulties associated with an optimum choice of the element size are discussed. It is shown that by using a posteriori error estimation based on the equivalent stress measure accurate results can be obtained even in the neighborhood of the point loading.

KW - Functionally graded materials (FGM)

KW - Variational formulation

KW - Finite element method

KW - Heterogeneous materials

KW - A posteriori error estimation

KW - Adaptive refinement

U2 - 10.1016/j.compstruct.2014.07.013

DO - 10.1016/j.compstruct.2014.07.013

M3 - Article

SN - 0263-8223

VL - 118

SP - 367

EP - 376

JO - Composite Structures

JF - Composite Structures

ER -

Three-dimensional elastic deformation of functionally graded isotropic plates under point loading

Abstract

Bibliographical note

Keywords

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Maria Kashtalyan

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