Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories

By Z. Cheng, Romesh C. Batra. 2000

145 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6357dbe2a9d53479bcc965aef186875f693c1d71

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Citations in the corpus

A COMPREHENSIVE ANALYSIS OF FUNCTIONALLY GRADED SANDWICH PLATES: PART 1—DEFLECTION AND STRESSES (2005, background): “Cheng and Batra (2000a) have related the deflections of a simply supported FG polygonal plate given by the first-order shear deformation theory and a third-order shear deformation theory to that of an equivalent homogeneous Kirchhoff plate.”
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, unknown): “Because of FGM applications in high temperature environments most of the studies on the behaviour of FGM plates focus on the thermomechanical response of FGM plates: Reddy and Chin [9], Reddy [10], Vel and Batra [11,12], Cheng and Batra [13], Javaheri and Eslami [14].”
Three-dimensional exact solution for the vibration of functionally graded rectangular plates (2004, background): “Batra [12] analyzed finite plane strain deformations of a circular cylinder made of a Mooney–Rivlin material with the two material parameters depending upon the radial co-ordinate.”
Bending Analysis of Functionally Graded Sandwich Plates Under the Effect of Mechanical and Thermal Loads (2010, unknown): “Cheng and Batra [24] have related the deflections of a simply supported FG polygonal plate given by the first-order shear deformation theory and a third-order shear deformation theory to that of an equivalent homogeneous Kirchhoff plate.”
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 (2004, background): “Several authors [8–12] have used either a first-order or a third-order shear deformation plate theory coupled with the finite element method (FEM) to analyze deformations of FG plates.”
Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate (2007, background): “Several studies have been performed to analyse the behaviour of FGM plates and shells [1–10].”