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
385 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/fb85622b088c52bae1adc213e493755289267711
Citations in the corpus
- A refined FSDT for the static analysis of functionally graded sandwich plates (2015, neutral): “These results are compared with the quasi-3D solutions [5,11,12,14], HSDTs [14], and FSDT [13].”
- Analysis of functionally graded sandwich plates using a new first-order shear deformation theory (2014, neutral): “[9-10] with nine unknowns and Natarajan and Manickam [7] with thirteen unknowns).”
- A quasi-3D hyperbolic shear deformation theory for functionally graded plates (2014, neutral): “2230 Quasi-3D [24] − − 0.”
- An analytical solution for bending, buckling and vibration responses of FGM sandwich plates (2019, neutral): “[22] presented explicit governing equations and boundary conditions of the higher order shear deformation theory and focused on the thickness stretching issue on the static, free vibration, and buckling analysis of FGM sandwich plates by a meshless technique.”
- Review of current trends in research and applications of sandwich structures (2018, neutral): “[226] presented explicit governing equations for statics and dynamics of FGM sandwich plates using a higher-order shear deformation theory where in-plane and through-the-thickness displacements were represented by cubic and quadratic polynomials of the thickness coordinate, respectively.”
- Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates (2014, neutral): “[6, 7] we believe that the physical accuracy and straightforward numerical implementation are no”