Mesh-independent design of phononic crystals using an advanced finite element formulation

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Abstract

he numerical modeling of phononic crystals using the finite element method requires a mesh that accurately describes the geometric features. In an optimization setting, involving shape and/or topological changes, this implies that a new matching mesh needs to be generated in every design iteration. In this paper a mesh-independent description for both the interior and exterior boundaries of the periodic unit cell is proposed. A method is developed to apply Bloch-Floquet periodic boundary conditions to edges that are non-matching to the mesh. The proposed method is applied to a one-dimensional phononic crystal and is demonstrated to exhibit improved performance over the commonly used interface material averaging. We show that this method provides an accurate mesh-independent model.
Original languageEnglish
Title of host publicationProceedings ASME 2016 International Mechanical Engineering Congress and Exposition
Subtitle of host publicationVolume 13: Acoustics, Vibration, and Wave Propagation
Place of PublicationNew York, NY, USA
PublisherASME
Number of pages8
ISBN (Print)978-0-7918-5067-1
DOIs
Publication statusPublished - 2016
EventASME 2016 International Mechanical Engineering Congress and Exposition - Phoenix, AZ, United States
Duration: 11 Nov 201617 Nov 2016

Conference

ConferenceASME 2016 International Mechanical Engineering Congress and Exposition
Abbreviated titleIMECE 2016
CountryUnited States
CityPhoenix, AZ
Period11/11/1617/11/16

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