Wave Characteristics in Magneto-electro-elastic Functionally Graded Spherical Curved Plates

Abstract

Piezoelectric-piezomagnetic functionally graded materials (FGM), with a gradual change of the mechanical, electric and magnetic properties, have great promise for different applications. Based on the Legendre orthogonal polynomial series expansion approach, a dynamic solution is presented for the propagation of harmonic waves in piezoelectric-piezomagnetic FGM spherical curved plates. The material properties are assumed to vary in the direction of the thickness according to a known variation law. The dispersion curves of the piezoelectric-piezomagnetic FGM spherical curved plate and the corresponding non-piezoelectric, non-piezomagnetic plates are calculated to show the influences of the piezoelectricity and piezomagnetism. Electric potential and magnetic potential distributions are also obtained to illustrate the different influences of the piezoelectricity and piezomagnetism. Finally, a spherical curved plate at different ratio of radius to thickness is calculated to show the influence f the ratio on the piezoelectric effect and piezomagnetic effect.

Keywords:

• functionally graded materials
• piezoelectricity
• piezomagnetic materials
• elastic wave
• orthogonal polynomial
• dispersion curves
• spherical curved plate

ACKNOWLEDGMENT

The work was supported by the National Natural Science Foundation of China (No. 10802027). The authors wish to express their sincere thanks to the reviewers for their helpful comments.