Analysis of SH and anti‐plane SH wave signals for nanosensor applications using two distinct models of piezoelectric materials lead zirconate titanate

Abstract The primary goal of the current study is to examine the effects of wave propagation on the performance of surface acoustic wave (SAW) macro‐ and nano‐sensors. Therefore, shear horizontal waves (SH) in an orthotropic piezoelectric layer laid on top of an elastic framework (Model I), a piezoelectric substrate, and an orthotropic piezoelectric substrate (Model II) are studied using the surface piezoelectricity theory. The study used a variable‐separable methodology. Theoretical forms are developed and used to show the wavenumber of surface waves in any direction of the piezoelectric medium based on the differential equations and matrix formulation. A piezoelectric material half‐space with a nano substrate and an orthotropic piezoelectric material layer over an elastic framework are the two configurations that are investigated. Frequency equations are expressed analytically for both symmetric and anti‐symmetric waves. The study looks into how phase velocity is affected by surface density, anisotropic piezoelectric constant, surface elastic constants, and symmetric and antisymmetric modes. The study is limited to the propagation of linear waves. Furthermore, the analysis is predicated on the material's surface characteristics and idealized material qualities. Surface effect study is the novelty, which is conducted in the piezoelectric model and its applications in sensors. The findings of this research may be useful in designing SAW devices.

Authors

Institutions

Publication Details

Journal
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Published
2025-05-01
DOI
https://doi.org/10.1002/zamm.70081
Citations
17
Primary Topic
Ultrasonics and Acoustic Wave Propagation
Type
article
Field-Weighted Citation Impact
14.68
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Analysis of SH and anti‐plane SH wave signals for nanosensor applications using two distinct models of piezoelectric materials lead zirconate titanate

Soumik Das, Abdulkafi Mohammed Saeed, Abhinav Singhal, Anjali Chaudhary et al.
17 citations
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Ultrasonics and Acoustic Wave Propagation
14.68
article

Analysis of SH and anti‐plane SH wave signals for nanosensor applications using two distinct models of piezoelectric materials lead zirconate titanate

Soumik Das, Abdulkafi Mohammed Saeed, Abhinav Singhal, Anjali Chaudhary, Pulkit Kumar, Abhinav Singhal
article en
17 citations

Abstract

Abstract The primary goal of the current study is to examine the effects of wave propagation on the performance of surface acoustic wave (SAW) macro‐ and nano‐sensors. Therefore, shear horizontal waves (SH) in an orthotropic piezoelectric layer laid on top of an elastic framework (Model I), a piezoelectric substrate, and an orthotropic piezoelectric substrate (Model II) are studied using the surface piezoelectricity theory. The study used a variable‐separable methodology. Theoretical forms are developed and used to show the wavenumber of surface waves in any direction of the piezoelectric medium based on the differential equations and matrix formulation. A piezoelectric material half‐space with a nano substrate and an orthotropic piezoelectric material layer over an elastic framework are the two configurations that are investigated. Frequency equations are expressed analytically for both symmetric and anti‐symmetric waves. The study looks into how phase velocity is affected by surface density, anisotropic piezoelectric constant, surface elastic constants, and symmetric and antisymmetric modes. The study is limited to the propagation of linear waves. Furthermore, the analysis is predicated on the material's surface characteristics and idealized material qualities. Surface effect study is the novelty, which is conducted in the piezoelectric model and its applications in sensors. The findings of this research may be useful in designing SAW devices.

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVol. 105(5)
Princess Nourah bint Abdulrahman University (SA), Qassim University (SA), Iowa State University (US), University of Business and Technology (SA), Christ University (IN), Amrita Vishwa Vidyapeetham (IN)
Openalex Percentile: Top 1%
Ultrasonics and Acoustic Wave Propagation
14.68
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.