Three-Dimensional Solutions of Smart Functionally Graded Plates

By J. Reddy, Z. Cheng. 2001

201 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/da0964db6c9ac293be0850d6e6928cde5ffd66bc

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In Mechanics of Materials

Citations in the corpus

Three-dimensional exact solution for the vibration of functionally graded rectangular plates (2004, methodology): “Cheng and Batra [18], and Reddy and Cheng [19,20] have also used the method of asymptotic expansion to study the 3-D thermoelastic deformations of a functionally graded elliptic and rectangular plates respectively.”
Three-dimensional vibration analysis of functionally graded material plates in thermal environment (2009, background): “Reddy and Cheng [8] obtained a three-dimensional solution of a smart FGM plate consisting of a plate made of FGM and actuators made of an active material by the combination of the transfer matrix formulation and asymptotic expansion.”
Exact Solutions for Free Vibrations of Functionally Graded Thick Plates on Elastic Foundations (2009, methodology): “Among others, Tarn and Wang [8], and Reddy and Cheng [9] used the method of asymptotic expansion to perform 3D analyses of thermal deformations of FGM plates.”
A Unified Theory for Constitutive Modeling of Composites (2016, methodology): “To avoid these assumptions, asymptotic models were developed [Maugin and Attou 1990; Cheng and Batra 2000; Kalamkarov and Kolpakov 2001; Reddy and Cheng 2001; Kalamkarov et al. 2009; Kim 2009; Skoptsov and Sheshenin 2011] with the field variables expressed using a formal asymptotic series.”
Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers (2008, methodology): “A 3-D solution for rectangular FG plates coupled with a piezoelectric actuator layer was proposed by Reddy & Cheng [14] using transfer matrix and asymptotic expansion techniques.”