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

Conference Paper (2016)
Author(s)

Sanne van den Boom (TU Delft - Computational Design and Mechanics)

Alejandro Aragon (TU Delft - Computational Design and Mechanics)

F Van Keulen (TU Delft - Computational Design and Mechanics)

Research Group
Computational Design and Mechanics
DOI related publication
https://doi.org/10.1115/IMECE2016-66928
More Info
expand_more
Publication Year
2016
Language
English
Research Group
Computational Design and Mechanics
ISBN (print)
978-0-7918-5067-1

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.

No files available

Metadata only record. There are no files for this record.