Influence of varying fiber volume fractions on plane waves reflecting from the stress-free/rigid surface of a piezoelectric fiber-reinforced composite half-space

Abstract

Wave reflection phenomenon at the stress-free/rigid surface of a piezoelectric fiber-reinforced composite (PFRC) half-space is studied. The PFRC is micro-mechanically modeled using Strength of Materials (SM) and Rule of Mixtures (RM). Some of its electro-mechanical data are graphically shown and its advantages are discussed. An incident quasi-longitudinal (qP) wave generates reflected quasi-longitudinal (qP), quasi-transverse (qSV), and electroacoustic (EA) waves, whose propagation angles are graphically demonstrated. Closed-form expressions of energy ratios of reflected waves and interaction energy are obtained, which satisfy the Law of Conservation of Energy, thus validating this problem. Influences of incident angle, varying fiber volume fractions, and stress-free/rigid surfaces on amplitude/energy ratios are discussed.

Keywords:

• Plane waves
• reflection
• piezoelectric fiber-reinforced composite (PFRC)
• fiber volume fraction
• stress-free surface
• rigid surface
• amplitude ratio
• energy ratio

Acknowledgments

The authors convey their sincere thanks to Indian Institute of Technology (Indian School of Mines) Dhanbad for providing Senior Research Fellowship to Mr. Sayantan Guha.

Disclosure statement

The authors reported no potential conflict of interest.

Data availability statement

The data used in the present analysis can be found from the works of Alshaikh [49] and Kumar and Chakraborty [26].