A new quasi-3D sinusoidal shear deformation theory for functionally graded plates

Mamia Benchohr; Hafida Driz; Ahmed Bakora; Abdelouahed Tounsi; E.A. Adda Bedia; S. R. Mahmoud

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자료유형: 학술저널

저자정보: Mamia Benchohr (University of Sidi Bel Abbes) Hafida Driz (University of Sidi Bel Abbes) Ahmed Bakora (University of Sidi Bel Abbes) Abdelouahed Tounsi (University of Sidi Bel Abbes) E.A. Adda Bedia (University of Sidi Bel Abbes) S. R. Mahmoud (King Abdulaziz University)

저널정보: 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.65 No.1

발행연도: 2018.1

수록면: 19 - 31 (13page)

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In this paper, a new quasi-3D sinusoidal shear deformation theory for functionally graded (FG) plates is proposed. The theory considers both shear deformation and thickness-stretching influences by a trigonometric distribution of all displacements within the thickness, and respects the stress-free boundary conditions on the upper and lower faces of the plate without employing any shear correction coefficient. The advantage of the proposed model is that it posses a smaller number of variables and governing equations than the existing quasi-3D models, but its results compare well with those of 3D and quasi-3D theories. This benefit is due to the use of undetermined integral unknowns in the displacement field of the present theory. By employing the Hamilton principle, equations of motion are obtained in the present formulation. Closed-form solutions for bending and free vibration problems are determined for simply supported plates. Numerical examples are proposed to check the accuracy of the developed theory.

참고문헌 (89)

참고문헌 신청

Abualnour, M. / 2018 / A novel quasi-3D trigonometric plate theory for free vibration analysis of advanced composite plates / Compos. Struct. 184:688~697

Abdelouahed Tounsi / 2016 / Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept / Steel and Composite Structures, An International Journal 20(5):963~981

Ait Amar Meziane, M. / 2014 / An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions / J. Sandw. Struct. Mater. 16(3):293~318

Sihame Ait Yahia / 2015 / Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories / Structural Engineering and Mechanics, An Int＇l Journal 53(6):1143~1165

Alijani, F. / 2014 / Effect of thickness deformation on large-amplitude vibrations of functionally graded rectangular plates / Compos. Struct. 113:89~107

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