Eigenfrequency correction of Bloch-Floquet waves in a thin periodic bi-material strip with cracks lying on perfect and imperfect interfaces

TL;DR

This paper improves the accuracy of eigenfrequency predictions for Bloch-Floquet waves in a thin bi-material strip with cracks by refining an asymptotic model, considering both ideal and non-ideal interfaces.

Contribution

It introduces a corrected asymptotic model that significantly enhances eigenfrequency predictions for waves in cracked bi-material strips.

Findings

Corrected model aligns better with computational results.

Eigenfrequency predictions are more accurate with the new correction.

Both ideal and non-ideal interface effects are incorporated.

Abstract

We analyse an asymptotic low-dimensional model of anti-plane shear in a thin bi-material strip containing a periodic array of interfacial cracks. Both ideal and non-ideal interfaces are considered. We find that the previously derived asymptotic models display a degree of inaccuracy in predicting standing wave eigenfrequencies and suggest an improvement to the asymptotic model to address this discrepancy. Computations demonstrate that the correction to the standing wave eigenfrequencies greatly improve the accuracy of the low-dimensional model.