Martin-Luther-Universität Halle-Wittenberg


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16. Mai 2023

Mriganka Shekhar Chaki (Universidad Nacional Autónoma de México)

Wave Propagation in a Magneto-Electro-Elastic Composite Periodic Structure: An Asymptotic Homogenization Approach

The Magneto-Electro-Elastic (MEE) materials exhibit coupling effect and transform energy between elastic, electric and magnetic fields due to which such materials have numerous applications in ultrasonic imaging devices, detectors, energy harvesters, smart sensors. In particular, multi-laminated or multi-layered MEE structures have been the subject of interest in recent studies. The Asymptotic Homogenization Method (AHM) is proven to be a powerful tool for the prediction of effective properties for composites with small-scale heterogeneities. In the present work, anti-plane wave propagation with oblique incidence in a MEE multi-laminated composite periodic structure is studied. A more general Dynamic AHM is applied to analyse dispersion phenomena and dynamic process. On assuming the solution having a single-frequency dependency, the higher-order terms for the displacement, electric potential and magnetic potential in asymptotic expansions are studied. Higher order local problems upto infinite order are derived satisfying the necessary and sufficient condition for the existence of 1-periodic solutions. The solutions of first and second local problems have been obtained. Graphical illustrations showing the effect of size of unit cell, angle of incidence of wave, volume fraction and magneto-electric coupling on the dispersion curve have been obtained and the result is also compared with other approximation methods. The present homogenized model has been proven to provide a more effective dispersive system and better approximation.

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