articleTop 1% cited
Three-dimensional exact solution for the vibration of functionally graded rectangular plates
Journal of Sound and Vibration · 2003 · Vol. 272(3-5) · pp. 703–730
Senthil S. Vel✉(University of Maine)R.C. Batra(Virginia Tech)
Composite Structure Analysis and OptimizationNumerical methods in engineeringRailway Engineering and DynamicsVibrationPlate theoryBoundary value problemMathematical analysisMathematicsVolume fractionVibration of platesOrdinary differential equationGeometryMaterials science
Citations
574
FWCI
20.79
field-weighted impact
References
54
Percentile
100%
vs. same field & year
Citations per year
Cited by
Effects of thickness stretching in functionally graded plates and shells
Composites Part B Engineering · 2010 · 441 citations
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
Composites Part B Engineering · 2012 · 504 citations
Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method
Composite Structures · 2004 · 422 citations
An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates
Composites Part B Engineering · 2014 · 426 citations
Natural frequencies of functionally graded plates by a meshless method
Composite Structures · 2006 · 352 citations
A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates
Composites Part B Engineering · 2011 · 447 citations
Free vibration and stability of functionally graded shallow shells according to a 2D higher-order deformation theory
Composite Structures · 2007 · 462 citations
NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter
Composite Structures · 2012 · 321 citations
References
Solutions for effective shear properties in three phase sphere and cylinder models
Journal of the Mechanics and Physics of Solids · 1979 · 2,059 citations
An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates
Journal of Sound and Vibration · 1970 · 464 citations
Analysis of functionally graded plates
International Journal for Numerical Methods in Engineering · 2000 · 1,689 citations
Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
International Journal of Solids and Structures · 1970 · 797 citations
A self-consistent mechanics of composite materials
Journal of the Mechanics and Physics of Solids · 1965 · 3,564 citations
Average stress in matrix and average elastic energy of materials with misfitting inclusions
Acta Metallurgica · 1973 · 7,849 citations
Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrov–Galerkin method
Composites Part B Engineering · 2004 · 433 citations
Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates
Journal of Applied Mechanics · 1951 · 4,944 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.