Abstract

An Optimisation Scheme Based on the Local Interaction Simulation Approach and Lamb Waves for Elastic Property Estimation in Multi-Layered Composites

Highlights

  • The inverse problem in wave propagation is one of the earliest inverse problems in Mechanical Engineering [1]

  • This section gives a brief introduction to the propagation of Lamb waves in multiple layers and the two-dimensional Local Interaction Simulation Approach used to model these waves in multi-layered plates

  • The Local Interaction Simulation Approach (LISA) modelling of Lamb wave propagation has been used as part of an optimisation strategy to reconstruct material properties in a multi-layered glass fibre-epoxy composite plate

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Summary

Introduction

The inverse problem in wave propagation is one of the earliest inverse problems in Mechanical Engineering [1]. The inverse problem, i.e. estimation of material properties from wave propagation, has attracted much less attention in the literature Previous work in this area includes the application of direct phase velocity measurements in isotropic plates [7,8], concrete [9] and orthotropic composite plates [10,11]. Lamb wave responses in transversely isotropic composites [12] and dispersion curves in tri-layer structures [13] have been used to estimate material properties The latter used wave propagation modelling and an optimisation process to reconstruct the material properties. The latter reference provides an example of the use of an evolutionary optimisation scheme in the form of a genetic algorithm It appears that very little work has been performed utilising numerical modelling related to multilayered structures, dispersive media and guided waves.

Lamb wave modelling using the local interaction simulation approach
Lamb wave inverse problem
The optimisation scheme based on differential evolution
Dynamic time warping
Numerical results and discussion
Findings
Discussion and conclusions
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