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A computational method for laminated composite plates based on layerwise theory

Authorized Users Only
2017
Authors
Rakotcević, Marina
Popović, Svetislav
Ivanišević, Nenad
Article (Published version)
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Abstract
This paper presents a new computational method for stress-strain analysis of simply supported rectangular cross-ply laminated composite plates subjected to transverse loads which was applied in the authors FORTRAN program code. The algorithm of the program is based on the layerwise theory of Reddy. Equations obtained by applying the principle of virtual displacements were solved in a closed form using double trigonometric series. Convergence control and numerical stability of the program's outputs: displacements and stresses, with appropriate comments, are discussed. Comparison and verification of the presented computational method was carried out in relation to the results given in the available literature. Also, a comparison with the values calculated using the ANSYS program which is based on finite element method was performed. The paper presents and provides comments on edge dimensionless displacements and (v) over bar of a laminated plate. For the adopted simply supported rectangu...lar four-layer plate with antisynimetric layer an analysis of dimensionless deflection change in the middle of the plate and displacemen (u) over bar on the edge of the plate was performed, as well as the analysis of the ratio between the maximum values sigma(xy)/sigma(yy) and sigma(yz)/sigma(yy) due to the change of the aspect ratio a/b, the side-to-thickness ratio b/h and elastic modulus ratio E-1/E-2. The results of the proposed computational model based on the layerwise theory are given in a tabular and graphical form.

Keywords:
Laminated plates / Layerwise theory / Analytical solution / FORTRAN program / Displacements / Stresses
Source:
Composites Part B-Engineering, 2017, 122, 202-218
Publisher:
  • Elsevier Ltd

DOI: 10.1016/j.compositesb.2017.03.044

ISSN: 1359-8368

WoS: 000407412800020

Scopus: 2-s2.0-85019632264
[ Google Scholar ]
11
6
URI
https://grafar.grf.bg.ac.rs/handle/123456789/881
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  • Radovi istraživača / Researcher's publications
  • Катедра за управљање пројектима у грађевинарству
Institution/Community
GraFar
TY  - JOUR
AU  - Rakotcević, Marina
AU  - Popović, Svetislav
AU  - Ivanišević, Nenad
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/881
AB  - This paper presents a new computational method for stress-strain analysis of simply supported rectangular cross-ply laminated composite plates subjected to transverse loads which was applied in the authors FORTRAN program code. The algorithm of the program is based on the layerwise theory of Reddy. Equations obtained by applying the principle of virtual displacements were solved in a closed form using double trigonometric series. Convergence control and numerical stability of the program's outputs: displacements and stresses, with appropriate comments, are discussed. Comparison and verification of the presented computational method was carried out in relation to the results given in the available literature. Also, a comparison with the values calculated using the ANSYS program which is based on finite element method was performed. The paper presents and provides comments on edge dimensionless displacements and (v) over bar of a laminated plate. For the adopted simply supported rectangular four-layer plate with antisynimetric layer an analysis of dimensionless deflection change in the middle of the plate and displacemen (u) over bar on the edge of the plate was performed, as well as the analysis of the ratio between the maximum values sigma(xy)/sigma(yy) and sigma(yz)/sigma(yy) due to the change of the aspect ratio a/b, the side-to-thickness ratio b/h and elastic modulus ratio E-1/E-2. The results of the proposed computational model based on the layerwise theory are given in a tabular and graphical form.
PB  - Elsevier Ltd
T2  - Composites Part B-Engineering
T1  - A computational method for laminated composite plates based on layerwise theory
EP  - 218
SP  - 202
VL  - 122
DO  - 10.1016/j.compositesb.2017.03.044
UR  - conv_1911
ER  - 
@article{
author = "Rakotcević, Marina and Popović, Svetislav and Ivanišević, Nenad",
year = "2017",
abstract = "This paper presents a new computational method for stress-strain analysis of simply supported rectangular cross-ply laminated composite plates subjected to transverse loads which was applied in the authors FORTRAN program code. The algorithm of the program is based on the layerwise theory of Reddy. Equations obtained by applying the principle of virtual displacements were solved in a closed form using double trigonometric series. Convergence control and numerical stability of the program's outputs: displacements and stresses, with appropriate comments, are discussed. Comparison and verification of the presented computational method was carried out in relation to the results given in the available literature. Also, a comparison with the values calculated using the ANSYS program which is based on finite element method was performed. The paper presents and provides comments on edge dimensionless displacements and (v) over bar of a laminated plate. For the adopted simply supported rectangular four-layer plate with antisynimetric layer an analysis of dimensionless deflection change in the middle of the plate and displacemen (u) over bar on the edge of the plate was performed, as well as the analysis of the ratio between the maximum values sigma(xy)/sigma(yy) and sigma(yz)/sigma(yy) due to the change of the aspect ratio a/b, the side-to-thickness ratio b/h and elastic modulus ratio E-1/E-2. The results of the proposed computational model based on the layerwise theory are given in a tabular and graphical form.",
publisher = "Elsevier Ltd",
journal = "Composites Part B-Engineering",
title = "A computational method for laminated composite plates based on layerwise theory",
pages = "218-202",
volume = "122",
doi = "10.1016/j.compositesb.2017.03.044",
url = "conv_1911"
}
Rakotcević, M., Popović, S.,& Ivanišević, N.. (2017). A computational method for laminated composite plates based on layerwise theory. in Composites Part B-Engineering
Elsevier Ltd., 122, 202-218.
https://doi.org/10.1016/j.compositesb.2017.03.044
conv_1911
Rakotcević M, Popović S, Ivanišević N. A computational method for laminated composite plates based on layerwise theory. in Composites Part B-Engineering. 2017;122:202-218.
doi:10.1016/j.compositesb.2017.03.044
conv_1911 .
Rakotcević, Marina, Popović, Svetislav, Ivanišević, Nenad, "A computational method for laminated composite plates based on layerwise theory" in Composites Part B-Engineering, 122 (2017):202-218,
https://doi.org/10.1016/j.compositesb.2017.03.044 .,
conv_1911 .

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