0
TECHNICAL PAPERS

Exact Solutions for the Functionally Graded Plates Integrated With a Layer of Piezoelectric Fiber-Reinforced Composite

[+] Author and Article Information
M. C. Ray, H. M. Sachade

Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721 302, India

J. Appl. Mech 73(4), 622-632 (Apr 12, 2005) (11 pages) doi:10.1115/1.2165230 History: Received March 15, 2005; Revised April 12, 2005

This paper deals with the derivation of exact solutions for the static analysis of functionally graded (FG) plates integrated with a layer of piezoelectric fiber reinforced composite (PFRC) material. The layer of the PFRC material acts as the distributed actuator of the FG plates. The Young’s modulus of the FG plate is assumed to vary exponentially along the thickness of the plate while the Poisson’s ratio is assumed to be constant over the domain of the plate. The numerical values of the exact solutions are presented for both thick and thin smart FG plates and indicate that the activated PFRC layer potentially counteracts the deformations of the FG plates due to mechanical load. The through-thickness behavior of the plates revealed that the coupling of bending and extension takes place in the FG plates even if the PFRC layer is not subjected to the applied voltage. The solutions also revealed that the activated PFRC layer is more effective in controlling the deformations of the FG plates when the layer is attached to the surface of the FG plate with minimum stiffness than when it is attached to the surface of the same with maximum stiffness. The solutions of this benchmark problem may be useful for verifying the other approximate and numerical models of the smart functionally graded plates for which exact solutions cannot be derived.

FIGURES IN THIS ARTICLE
<>
Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Functionally graded plate integrated with a PFRC layer

Grahic Jump Location
Figure 2

Distribution of axial displacement (u¯) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Grahic Jump Location
Figure 3

Distribution of transverse displacement (w¯) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Grahic Jump Location
Figure 4

Distribution of inplane normal stress (σ¯x) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Grahic Jump Location
Figure 5

Distribution of in-plane normal stress (σ¯y) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Grahic Jump Location
Figure 6

Distribution of transverse normal stress (σ¯z) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Grahic Jump Location
Figure 7

Distribution of in-plane shear stress (σ¯xy) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Grahic Jump Location
Figure 8

Distribution of transverse shear stress (σ¯xz) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Grahic Jump Location
Figure 9

Distribution of transverse shear stress (σ¯yz) across the thickness of thin (s=100) FG plate (Eh∕E0=10) with and without applied voltage to the PFRC layer

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In