Exact Solution for Thermoelastic Deformations of Functionally Graded Thick Rectangular Plates

By S. Vel, Romesh C. Batra. 2002

526 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9a8b6903c10e069e93c4d6514c04a638f36dd303

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Thermal analysis of FGM plates – A critical review of various modeling techniques and solution methods (2017, methodology): “Vel and Batra [54] used power series method to study the thermomechanical deformations of a simply supported rectangular plate, in which the material properties were evaluated using either self consistent method or Mori-Tanaka method or the combination of both.”
Closed-Form Solutions of Three-Dimensional Functionally Graded Plates (2008, methodology): “Vel, S. S., and Batra, R. C., “Three-dimensional exact solution for the vibration of functionally graded rectangular plates,”Journal of Sound and Vibration, 272, 703–730 (2004).”
Post-buckling analysis of functionally graded rectangular plates (2007, background): “Vel and Batra [5] found an exact solution for the thermoelastic deformation of functionally graded thick rectangular simply supported plates.”
Buckling analysis of sandwich plates with functionally graded skins using a new quasi‐3D hyperbolic sine shear deformation theory and collocation with radial basis functions (2012, background): “[23] Z. Q. Cheng and R. C. Batra, Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates, J. Sound Vib.”
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, background): “Studies on the mechanical behaviour of FGM plates include the static analysis of FGM plates performed by Kashtalyan [15], Kashtalyan and Menshykova [16], Qian et al. [17], Zenkour [18,19], Ramirez et al. [20], Ferreira et al. [21,22], Chi and Chung [23,24], and Cheng and Batra [25].”
Analysis of Functionally Graded Plates by a Robust Meshless Method (2007, methodology): “FG plates have been studied by several authors [15–24] analytically [25] and by using either first-order or third-order shear deformation plate theories (FSDT or TSDT respectively) and finite element interpolation.”
Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate (2007, background): “, [8–10]).”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, background): “Vel and Batra [27] obtained an exact solution for 3D deformation of simply-supported FGM plates subjected to mechanical and thermal loads.”
Analysis of functionally graded plates by an efficient finite element method with node-based strain smoothing (2012, background): “Vel and Batra [6,7] introduced an exact formulation based on a power series for thermoelastic deformations and vibration of rectangular FGM plates.”