Three-dimensional thermomechanical deformations of functionally graded rectangular plates

By J. Reddy, Z. Cheng. 2001

307 citations recorded by the source corpus.

Abstract Three-dimensional thermomechanical deformations of simply supported, functionally graded rectangular plates are studied by using an asymptotic method. The locally effective material properties are estimated by the Mori–Tanaka scheme. The temperature, displacements and stresses of the plate are computed for different volume fractions of the ceramic and metallic constituents, and they could serve as benchmark results to assess two-dimensional approximate plate theories.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/057947a5475f0ddde008a65da8005c6831b161e2

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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): “Reddy and Cheng adopted asymptotic technique for square FGM plates [96] and smart FGM plates with piezo-electric actuators [97] subjected to thermal and mechanical loads.”
TRANSIENT THERMOELASTIC DEFORMATIONS OF A THICK FUNCTIONALLY GRADED PLATE (2004, methodology): “Reddy and Cheng [ 20 ] have also used the method of asymptotic expansion to study the 3D thermoelastic deformations of an FG plate.”
Refined shell elements for the analysis of functionally graded structures (2012, methodology): “[35] FSDT N = 1 N = 2 N = 3 N = 4”
Low-velocity impact response of sandwich beams with functionally graded core (2006, methodology): “Reddy and Cheng (2001) and Reddy (2000) use an asymptotic method to determine three-dimensional thermo-mechanical deformations of FG rectangular plates.”
Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak’s elastic foundations (2010, methodology): “In Reddy and Cheng [24], three-dimensional thermomechanical deformations of simply supported, FG rectangular plates were studied by using an asymptotic method.”
Closed-Form Solutions of Three-Dimensional Functionally Graded Plates (2008, methodology): “Reddy, J. N., and Cheng, Z. Q., “Three-dimensional solution of smart functionally graded plates,”Journal of Applied Mechanics, 68, 234–241 (2001).”