A simple four-unknown refined theory for bending analysis of functionally graded plates

A simple four-unknown refined theory for bending analysis of functionally graded plates

In the present paper, a refined trigonometric higher-order plate theory is simply derived, which satisfies the free surface conditions. Moreover, the number of unknowns of this theory is the least one comparing with other shear theories. The effects of transverse shear strains as well as the transve...

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Veröffentlicht in:Applied mathematical modelling 2013-11, Vol.37 (20-21), p.9041-9051
1. Verfasser: Zenkour, Ashraf M.
Format: Artikel
Sprache:eng
Schlagworte:
Bending
FG plates
Mathematical analysis
Mathematical models
Normal stress
Plate theory
Rectangular plates
Shear
Simple four-unknown theory
Strain
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description In the present paper, a refined trigonometric higher-order plate theory is simply derived, which satisfies the free surface conditions. Moreover, the number of unknowns of this theory is the least one comparing with other shear theories. The effects of transverse shear strains as well as the transverse normal strain are taken into account. The number of unknown functions involved in the present theory is only four as against six or more in case of other shear and normal deformation theories. The bending response of FG rectangular plates is presented. A comparison with the corresponding results is made to check the accuracy and efficiency of the present theory. Additional results for all displacements and stresses are investigated through-the-thickness of the FG rectangular plate.
doi_str_mv 10.1016/j.apm.2013.04.022
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subjects Bending
FG plates
Mathematical analysis
Mathematical models
Normal stress
Plate theory
Rectangular plates
Shear
Simple four-unknown theory
Strain
title A simple four-unknown refined theory for bending analysis of functionally graded plates
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