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. (C) 2014 Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 367-376 |
| Number of pages | 10 |
| Journal | Composite Structures |
| Volume | 118 |
| Early online date | 19 Jul 2014 |
| DOIs | |
| Publication status | Published - Dec 2014 |
Keywords
- Functionally graded materials (FGM)
- Variational formulation
- Finite element method
- Heterogeneous materials
- A posteriori error estimation
- Adaptive refinement
- CORE
Cite this
Three-dimensional elastic deformation of functionally graded isotropic plates under point loading. / Abali, B. E.; Voellmecke, C.; Woodward, B.; Kashtalyan, M. (Corresponding Author); Guz, I.; Mueller, W. H.
In: Composite Structures, Vol. 118, 12.2014, p. 367-376.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Three-dimensional elastic deformation of functionally graded isotropic plates under point loading
AU - Abali, B. E.
AU - Voellmecke, C.
AU - Woodward, B.
AU - Kashtalyan, M.
AU - Guz, I.
AU - Mueller, W. H.
N1 - Acknowledgement Financial support of this research by The Royal Society (UK) under grant number JP090633 is gratefully acknowledged.
PY - 2014/12
Y1 - 2014/12
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. (C) 2014 Elsevier Ltd. All rights reserved.
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. (C) 2014 Elsevier Ltd. All rights reserved.
KW - Functionally graded materials (FGM)
KW - Variational formulation
KW - Finite element method
KW - Heterogeneous materials
KW - A posteriori error estimation
KW - Adaptive refinement
KW - CORE
U2 - 10.1016/j.compstruct.2014.07.013
DO - 10.1016/j.compstruct.2014.07.013
M3 - Article
VL - 118
SP - 367
EP - 376
JO - Composite Structures
JF - Composite Structures
SN - 0263-8223
ER -