Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure

TL;DR

This paper introduces an integral transform method to analyze Love wave propagation in a rotating, functionally graded piezoelectric-viscoelastic structure with an interfacial crack, focusing on stress and electric displacement factors.

Contribution

It develops a novel integral transform approach combined with numerical solutions to evaluate stress and electric displacement factors in complex layered structures with cracks.

Findings

Material parameters significantly affect SIF and EDIF.

Rotation influences wave propagation and stress distribution.

The method aids in designing advanced SAW sensors and biomedical devices.

Abstract

This study employs an integral transform approach for Love wave propagation in a rotating composite structure having an interfacial crack. The structure comprises an initially stressed functionally graded piezoelectric viscoelastic half-space bonded to a piezoelectric viscoelastic half-space. The study focuses on two material systems: Epoxy-BNKLBT paired with Epoxy-KNLNTS and Epoxy-BNKLBT paired with Epoxy-PZT7A. The viscoelastic materials are modeled to reflect their complex behavior under rotational and stress conditions. The Galilean transformation is applied to convert the Cartesian coordinates system into a moving reference frame aligned with the Love wave's propagation. Employing Bessel function properties, the system is converted into a set of double integral equations and subsequently reformulated into simultaneous Fredholm integral equations. Numerical solutions to these Fredholm integral equations are used to calculate the electric displacement intensity factor (EDIF) and stress intensity factor (SIF) near the interfacial crack. The key objective of this study is to visualize the impact of different material parameters, like piezoelectric constants, dielectric constants, initial stress, interface electric displacement, interface stress, and rotation, on SIF and EDIF. The investigations of this study will be helpful for advanced technologies like surface acoustic wave (SAW) sensors and piezoelectric actuators, as well as to enhance SAW bio-sensor sensitivity and stability for early cancer detection and biomedical implants.