A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates
Theoretical formulation, Navier’s solutions of rectangular plates based on a new higher order shear deformation model are presented for the static response of functionally graded plates. This theory enforces traction-free boundary conditions at plate surfaces. Shear correction factors are not requir...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/159806 |
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| author | Tahar Hassaine Daouadji Abdelaziz Hadj Henni Abdelouahed Tounsi Adda Bedia El Abbes |
| author_facet | Tahar Hassaine Daouadji Abdelaziz Hadj Henni Abdelouahed Tounsi Adda Bedia El Abbes |
| author_sort | Tahar Hassaine Daouadji |
| collection | DOAJ |
| description | Theoretical formulation, Navier’s solutions of rectangular plates based on a new higher order shear deformation model are presented for the static response of functionally graded plates. This theory enforces traction-free boundary conditions at plate surfaces. Shear correction factors are not required because a correct representation of transverse shearing strain is given. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. Numerical illustrations concern flexural behavior of FG plates with metal-ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fractions profiles, aspect ratios, and length to thickness ratios. Results are verified with available results in the literature. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded plates. |
| format | Article |
| id | doaj-art-80b787ca55634316be44192805c994de |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-80b787ca55634316be44192805c994de2025-02-03T05:46:10ZengWileyModelling and Simulation in Engineering1687-55911687-56052012-01-01201210.1155/2012/159806159806A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded PlatesTahar Hassaine Daouadji0Abdelaziz Hadj Henni1Abdelouahed Tounsi2Adda Bedia El Abbes3Departement of Civil Engineering, Ibn Khaldoun University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, AlgeriaDepartement of Civil Engineering, Ibn Khaldoun University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, AlgeriaLaboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, AlgeriaLaboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, AlgeriaTheoretical formulation, Navier’s solutions of rectangular plates based on a new higher order shear deformation model are presented for the static response of functionally graded plates. This theory enforces traction-free boundary conditions at plate surfaces. Shear correction factors are not required because a correct representation of transverse shearing strain is given. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The mechanical properties of the plate are assumed to vary continuously in the thickness direction by a simple power-law distribution in terms of the volume fractions of the constituents. Numerical illustrations concern flexural behavior of FG plates with metal-ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fractions profiles, aspect ratios, and length to thickness ratios. Results are verified with available results in the literature. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded plates.http://dx.doi.org/10.1155/2012/159806 |
| spellingShingle | Tahar Hassaine Daouadji Abdelaziz Hadj Henni Abdelouahed Tounsi Adda Bedia El Abbes A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates Modelling and Simulation in Engineering |
| title | A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates |
| title_full | A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates |
| title_fullStr | A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates |
| title_full_unstemmed | A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates |
| title_short | A New Hyperbolic Shear Deformation Theory for Bending Analysis of Functionally Graded Plates |
| title_sort | new hyperbolic shear deformation theory for bending analysis of functionally graded plates |
| url | http://dx.doi.org/10.1155/2012/159806 |
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