Computational material design for acoustic cloaking

A topology optimization technique based on the topological derivative and the level set function is utilized to design/synthesize the micro-structure of a pentamode material for an acoustic cloaking device. The technique provides a micro-structure consisting of a honeycomb lattice composed of needle...

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Detalles Bibliográficos
Autores: Méndez, Carlos Alberto, Podestá, J.M., Lloberas Valls, Oriol|||0000-0001-8405-8725, Toro, Sebastian, Huespe, Alfredo Edmundo|||0000-0001-7239-9805, Oliver Olivella, Xavier|||0000-0001-8717-1483
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/110986
Acceso en línea:https://hdl.handle.net/2117/110986
https://dx.doi.org/10.1002/nme.5560
Access Level:acceso abierto
Palabra clave:Metamaterials--Acoustic properties
transformation acoustic applications
acoustic cloak
pentamode material
topological derivative
topology optimization
extremal material
COMP-DES-MAT Project
COMPDESMAT Project
Metamaterials
Acústica
Àrees temàtiques de la UPC::Física::Acústica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia
Descripción
Sumario:A topology optimization technique based on the topological derivative and the level set function is utilized to design/synthesize the micro-structure of a pentamode material for an acoustic cloaking device. The technique provides a micro-structure consisting of a honeycomb lattice composed of needle-like and joint members. The resulting metamaterial shows a highly anisotropic elastic response with effective properties displaying a ratio between bulk and shear moduli of almost 3 orders of magnitude. Furthermore, in accordance with previous works in the literature, it can be asserted that this kind of micro-structure can be realistically fabricated. The adoption of a topology optimization technique as a tool for the inverse design of metamaterials with applications to acoustic cloaking problems is one contribution of this paper. However, the most important achievement refers to the analysis and discussion revealing the key role of the external shape of the prescribed domain where the optimization problem is posed. The efficiency of the designed micro-structure is measured by comparing the scattering wave fields generated by acoustic plane waves impinging on bare and cloaked bodies.