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Artículo

A topology optimization algorithm based on topological derivative and level-set function for designing phononic crystals

Yera Moreno, RolandoIcon ; Forzani, LuisinaIcon ; Mendez, Carlos GustavoIcon ; Huespe, Alfredo EdmundoIcon
Fecha de publicación: 02/2022
Editorial: Emerald
Revista: Engineering Computations
ISSN: 0264-4401
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Otras Ingeniería de los Materiales

Resumen

Purpose: This work presents a topology optimization methodology for designing microarchitectures of phononic crystals. The objective is to get microstructures having, as a consequence of wave propagation phenomena in these media, bandgaps between two specified bands. An additional target is to enlarge the range of frequencies of these bandgaps. Design/methodology/approach: The resulting optimization problem is solved employing an augmented Lagrangian technique based on the proximal point methods. The main primal variable of the Lagrangian function is the characteristic function determining the spatial geometrical arrangement of different phases within the unit cell of the phononic crystal. This characteristic function is defined in terms of a level-set function. Descent directions of the Lagrangian function are evaluated by using the topological derivatives of the eigenvalues obtained through the dispersion relation of the phononic crystal. Findings: The description of the optimization algorithm is emphasized, and its intrinsic properties to attain adequate phononic crystal topologies are discussed. Particular attention is addressed to validate the analytical expressions of the topological derivative. Application examples for several cases are presented, and the numerical performance of the optimization algorithm for attaining the corresponding solutions is discussed. Originality/value: The original contribution results in the description and numerical assessment of a topology optimization algorithm using the joint concepts of the level-set function and topological derivative to design phononic crystals.
Palabras clave: BANDGAPS , LEVEL-SET FUNCTION , PHONONIC CRYSTAL DESIGN , TOPOLOGICAL DERIVATIVE OF EIGENVALUES , TOPOLOGY OPTIMIZATION TECHNIQUE
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/185313
DOI: https://doi.org/10.1108/EC-06-2021-0352
URL: https://www.emerald.com/insight/content/doi/10.1108/EC-06-2021-0352/full/html
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Articulos de CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Citación
Yera Moreno, Rolando; Forzani, Luisina; Mendez, Carlos Gustavo; Huespe, Alfredo Edmundo; A topology optimization algorithm based on topological derivative and level-set function for designing phononic crystals; Emerald; Engineering Computations; 39; 1; 2-2022; 354-379
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