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Volume 5, Issue 3
A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates

Tahar Hassaine Daouadji, Abdelouahed Tounsi & El Abbes Adda Bedia

Adv. Appl. Math. Mech., 5 (2013), pp. 351-364.

Published online: 2013-05

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  • Abstract

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. 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 concerned flexural behavior of FG plates with Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fraction profiles, aspect ratios and length to thickness ratios. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static behavior of functionally graded plates.

  • Keywords

Functionally graded material, power law index, volume fraction, higher-order shear deformation theory, Navier solution.

  • AMS Subject Headings

74K20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-5-351, author = {Tahar Hassaine and Daouadji and and 20135 and and Tahar Hassaine Daouadji and Abdelouahed and Tounsi and and 20136 and and Abdelouahed Tounsi and El Abbes and Adda Bedia and and 20137 and and El Abbes Adda Bedia}, title = {A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {3}, pages = {351--364}, abstract = {

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. 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 concerned flexural behavior of FG plates with Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fraction profiles, aspect ratios and length to thickness ratios. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static behavior of functionally graded plates.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.11-m11176}, url = {http://global-sci.org/intro/article_detail/aamm/74.html} }
TY - JOUR T1 - A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates AU - Daouadji , Tahar Hassaine AU - Tounsi , Abdelouahed AU - Adda Bedia , El Abbes JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 351 EP - 364 PY - 2013 DA - 2013/05 SN - 5 DO - http://doi.org/10.4208/aamm.11-m11176 UR - https://global-sci.org/intro/article_detail/aamm/74.html KW - Functionally graded material, power law index, volume fraction, higher-order shear deformation theory, Navier solution. AB -

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of functionally graded plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. 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 concerned flexural behavior of FG plates with Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume fraction, volume fraction profiles, aspect ratios and length to thickness ratios. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static behavior of functionally graded plates.

Tahar Hassaine Daouadji, Abdelouahed Tounsi & El Abbes Adda Bedia. (1970). A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates. Advances in Applied Mathematics and Mechanics. 5 (3). 351-364. doi:10.4208/aamm.11-m11176
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