Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory

Yıl 2019, Cilt: 30 Sayı: 2, 8987 - 9007, 01.03.2019

Pınar Aydan Demirhan Vedat Taskın

https://doi.org/10.18400/tekderg.396672

Cited By: 6

Öz

In this study, the static analysis of a simply
supported square functionally graded sandwich plate is performed. The core of
the sandwich plate is assumed isotropic and the face sheets are functionally
graded. The variations in the effective properties of functionally graded face
sheets along the thickness are obtained by using Mori-Tanaka Micromechanical
Model. Four variable plate theory is used for the displacement fields. The
equation of sandwich plate under sinusoidal load is obtained by using the virtual
displacement principle. Closed form solution is obtained with Navier’s
approach. Parametric values are obtained for the core and face sheet thickness
ratios. The numerical results are compared with the literature and a good
agreement between the obtained results and the other theories in the literature
is seen.

Anahtar Kelimeler

Sandwich Plate, Functionally Graded Plate, Navier’s Solution, Bending Stress, Shear Stress

Static Analysis of Simply Supported Functionally Graded Sandwich Plates by Using Four Variable Plate Theory

Öz

In this study, the static analysis of a simply supported square functionally graded sandwich plate is performed. The core of the sandwich plate is assumed isotropic and the face sheets are functionally graded. The variations in the effective properties of functionally graded face sheets along the thickness are obtained by using Mori-Tanaka Micromechanical Model. Four variable plate theory is used for the displacement fields. The equation of sandwich plate under sinusoidal load is obtained by using the virtual displacement principle. Closed form solution is obtained with Navier’s approach. Parametric values are obtained for the core and face sheet thickness ratios. The numerical results are compared with the literature and a good agreement between the obtained results and the other theories in the literature is seen.

Anahtar Kelimeler

Sandwich plate, functionally graded plate, navier’s solution, bending stress, shear stress

Kaynakça

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