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

By A. Neves, A. J. Ferreira, Erasmo Carrera, M. Cinefra, C. Roque, R. N. Jorge, Carlos Soares. 2013

216 citations recorded by the source corpus.

Abstract In this paper the authors derive a higher-order shear deformation theory for modeling functionally graded plates accounting for extensibility in the thickness direction. The explicit governing equations and boundary conditions are obtained using the principle of virtual displacements under Carrera’s Unified Formulation. The static and eigenproblems are solved by collocation with radial basis functions. The efficiency of the present approach is assessed with numerical results including deflection, stresses, free vibration, and buckling of functionally graded isotropic plates and functionally graded sandwich plates.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ca379543601f9f4eab420478e90703be0e1a8edc

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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, methodology): “[29] using a quasi-3D higher-order shear deformation theory which accounts for extensibility in the thickness direction.”
A quasi-3D theory for vibration and buckling of functionally graded sandwich beams (2015, methodology): “By using these theories, although a lot of work has been done for isotropic and sandwich FG plates ([5–14]), the research on FG sandwich beams is limited.”