Three-dimensional static analysis of Levy-type functionally graded plate with in-plane stiffness variation

2017 ◽  
Vol 168 ◽  
pp. 780-791 ◽  
Author(s):  
Poonam Kumari ◽  
Agyapal Singh ◽  
R.K.N.D. Rajapakse ◽  
Santosh Kapuria
Keyword(s):  
Static Analysis ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Functionally Graded Plate ◽  
Stiffness Variation

Three-Dimensional Solutions of Smart Functionally Graded Plates

2000 ◽  
Vol 68 (2) ◽  
pp. 234-241 ◽  
Author(s):  
J. N. Reddy ◽  
Z.-Q. Cheng
Keyword(s):  
Active Material ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Gradient Material ◽  
Structural System ◽  
Functionally Graded Plate ◽  
Functionally Gradient Material ◽  
Functionally Gradient ◽  
Effective Material Properties ◽  
New Type

A smart functionally graded plate consists of a plate made of a functionally gradient material and actuators made of an active material. The active material, a layer or set of patches, is bonded on the metal-rich surface of the functionally graded plate. When the ceramic-rich surface of the substrate is subjected to thermomechanical loadings, displacements, and stresses may be controlled, and vibration amplitudes may be suppressed by the actuators with supplied electric power. In the attempt towards a basic understanding of the new type of smart structural system, this study considers a benchmark problem, namely, the bending of a functionally graded rectangular plate with an attached piezoelectric actuator. The transfer matrix and asymptotic expansion techniques are employed to obtain a three-dimensional asymptotic solution. In numerical computations, the locally effective material properties of the functionally gradient material are estimated by the Mori-Tanaka scheme. The three-dimensional distributions of displacements and stresses for different volume fractions of the ceramic and metallic constituents could serve as benchmark results to assess approximate theories and numerical methods.

Sign in / Sign up

Export Citation Format

Share Document