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

Sanne van den Boom; Alejandro Aragon; Fred van Keulen

doi:10.1115/IMECE2016-66928

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

Sanne van den Boom, Alejandro Aragon, Fred van Keulen

Computational Design and Mechanics

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

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 language	English
Title of host publication	Proceedings ASME 2016 International Mechanical Engineering Congress and Exposition
Subtitle of host publication	Volume 13: Acoustics, Vibration, and Wave Propagation
Place of Publication	New York, NY, USA
Publisher	ASME
Number of pages	8
ISBN (Print)	978-0-7918-5067-1
DOIs	https://doi.org/10.1115/IMECE2016-66928
Publication status	Published - 2016
Event	ASME 2016 International Mechanical Engineering Congress and Exposition - Phoenix, AZ, United States Duration: 11 Nov 2016 → 17 Nov 2016

Conference

Conference	ASME 2016 International Mechanical Engineering Congress and Exposition
Abbreviated title	IMECE 2016
Country/Territory	United States
City	Phoenix, AZ
Period	11/11/16 → 17/11/16

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10.1115/IMECE2016-66928

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title = "Mesh-independent design of phononic crystals using an advanced finite element formulation",

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.",

author = "{van den Boom}, Sanne and Alejandro Aragon and {van Keulen}, Fred",

year = "2016",

doi = "10.1115/IMECE2016-66928",

language = "English",

isbn = "978-0-7918-5067-1",

booktitle = "Proceedings ASME 2016 International Mechanical Engineering Congress and Exposition",

publisher = "ASME",

address = "United States",

note = "ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016 ; Conference date: 11-11-2016 Through 17-11-2016",

}

van den Boom, S, Aragon, A & van Keulen, F 2016, Mesh-independent design of phononic crystals using an advanced finite element formulation. in Proceedings ASME 2016 International Mechanical Engineering Congress and Exposition: Volume 13: Acoustics, Vibration, and Wave Propagation., V013T01A021, ASME, New York, NY, USA, ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, AZ, United States, 11/11/16. https://doi.org/10.1115/IMECE2016-66928

Mesh-independent design of phononic crystals using an advanced finite element formulation. / van den Boom, Sanne; Aragon, Alejandro ; van Keulen, Fred.
Proceedings ASME 2016 International Mechanical Engineering Congress and Exposition: Volume 13: Acoustics, Vibration, and Wave Propagation. New York, NY, USA: ASME, 2016. V013T01A021.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Mesh-independent design of phononic crystals using an advanced finite element formulation

AU - van den Boom, Sanne

AU - Aragon, Alejandro

AU - van Keulen, Fred

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

U2 - 10.1115/IMECE2016-66928

DO - 10.1115/IMECE2016-66928

M3 - Conference contribution

SN - 978-0-7918-5067-1

BT - Proceedings ASME 2016 International Mechanical Engineering Congress and Exposition

PB - ASME

CY - New York, NY, USA

T2 - ASME 2016 International Mechanical Engineering Congress and Exposition

Y2 - 11 November 2016 through 17 November 2016

ER -

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

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