Theoretical Investigation on Horizontally Shear Waves in a Functionally Gradient Piezoelectric Material Plate

Xiao Shan Cao; Feng Jin; Zi Kun Wang

doi:10.4028/www.scientific.net/AMR.33-37.707

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Study on a New Type of Analogue Material for Geotechnical Tests and its Applications
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Nonlinear Stability of Fixed-Fixed FGM Arches Subjected to Mechanical and Thermal Loads
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Theoretical Investigation on Horizontally Shear Waves in a Functionally Gradient Piezoelectric Material Plate
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The Crack-Tip Higher Order Asymptotic Fields for a Mode III Crack in a Functionally Gradient Material
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Plastic Crushing Behavior of Thin-Walled Spheres
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Saint-Venant End Effects of Transversely Isotropic Piezoelectric Materials
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Multi-Scale Strength Evaluations of SiC Particle Reinforced Aluminum Alloy by Using FEM Superposition Method
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 33-37Theoretical Investigation on Horizontally Shear...

Theoretical Investigation on Horizontally Shear Waves in a Functionally Gradient Piezoelectric Material Plate

Abstract:

For the propagation of horizontally shear waves (SH-waves) in a functionally gradient piezoelectric material (FGPM) plate, the governing equations are established by the theory of elasticity. The Airy equations and Airy functions are applied to find the solutions of the equations. Numerical results indicate that: compared with those of SH-waves in a transversely isotropic piezoelectric plate, remarkable difference can be observed for the dispersion properties of SH-waves in a FGPM plate. Material coefficients gradient variation patterns do not affect higher modes dispersion properties of SH-waves in a FGPM plate for electrically open case. While for electrically shorted case, dispersion properties of SH-waves higher modes are affected by the material coefficients gradient variation patterns, remarkable influences can be observed for S0 mode. Influences of materials coefficients gradient variation patterns on cutoff-frequencies of SH-waves are also revealed. The results obtained are meaningful for the investigation and characterization of SH-waves in inhomogeneous media.