Wave Propagation in Piezoelectric Materials

Piezoelectric materials convert mechanical deformation into electric signals and vice versa through an intrinsic coupling of elastic and electric fields. Wave propagation in such media encompasses bulk acoustic waves, guided Lamb waves, surface acoustic waves and thickness-shear modes, each sensitive to material anisotropy, geometry and boundary conditions. The governing equations derive from continuum electromechanics, coupling the Navier equations of elasticity with Maxwell’s equations under quasi-static approximation. Dispersion relations reveal how phase velocity and attenuation depend on frequency, polarisation and crystallographic orientation. Practical realisations range from high-frequency resonators and acoustic sensors to energy harvesters and nondestructive evaluation tools. Recent advances harness micro- and nano-structuring to tailor bandgaps, exploit phononic crystals for wave steering and employ topological concepts to achieve robust, defect-immune propagation. Experimental techniques such as laser Doppler vibrometry, impedance spectroscopy and laser ultrasonics validate theoretical models and inform the design of piezoelectric waveguides for applications in telecommunications, biomedical ultrasound and structural health monitoring. A comprehensive understanding of wave–field interactions underpins the optimisation of device performance, the minimisation of losses and the realisation of multifunctional smart materials.

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Wave Propagation in Piezoelectric Materials publication trend

The graph below shows the total number of articles in wave propagation in piezoelectric materials across all publications each year (not limited to Nature Index journals).

Technical terms

Piezoelectric effect: Generation of electric charge in certain crystalline materials in response to applied mechanical stress, and conversely deformation under an electric field.

Quasi-longitudinal wave (qP): A compressional acoustic mode in anisotropic solids whose particle motion is primarily longitudinal but slightly deviates due to crystal symmetry.

Quasi-transverse wave (qSV): A shear acoustic mode in anisotropic solids with particle motion largely perpendicular to propagation but exhibiting minor longitudinal components.

Piezothermoelasticity: A coupled field theory describing materials that exhibit both piezoelectric and thermoelastic responses, incorporating mechanical, electrical and thermal interactions.

Thermoelastic damping (TED): Irreversible energy dissipation due to heat flow driven by cyclic elastic deformation, reducing the quality factor of resonators.

Micropolar medium: A continuum model accounting for microstructural rotations and couple stresses, extending classical elasticity with additional rotational degrees of freedom.

References

1. Frequency shifts and thermoelastic damping in distinct Micro-/Nano-scale piezothermoelastic fiber-reinforced composite beams under three heat conduction models. Journal of Ocean Engineering and Science (2022).
2. The Inhomogeneous Waves in a Rotating Piezoelectric Body. The Scientific World JOURNAL (2013).
3. Reflection and Transmission of Plane Wave at an Interface Between Two Rotating Micropolar Piezoelectric Solid Half-Spaces. Archives of Acoustics (2021).