A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates

By A. Neves, A. J. Ferreira, Erasmo Carrera, M. Cinefra, C. Roque, R. N. Jorge, Carlos Soares. 2012

413 citations recorded by the source corpus.

Abstract This paper presents an original hyperbolic sine shear deformation theory for the bending and free vibration analysis of functionally graded plates. The theory accounts for through-the-thickness deformations. Equations of motion and boundary conditions are obtained using Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions. The efficiency of the present approach combining the new theory with this meshless technique is demonstrated in several numerical examples, for the static and free vibration analysis of functionally graded plates. Excellent agreement for simply-supported plates with other literature results has been found.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3d1746f014b6445a5d9e1494703ff1817ace6db8

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Natural frequencies of sandwich plates with FGM core via variable-kinematic 2-D Ritz models (2013, neutral): “, [14–21]).”
Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique (2013, methodology): “The combination of CUF and meshless methods has been performed in [56–59] for laminated plates and in [60,61] for FGM plates.”