Tunable phononic bandgap materials designed via topology optimization
(2022) In Journal of the Mechanics and Physics of Solids 163.- Abstract
Topology optimization is used to design phononic bandgap materials that are tunable by mechanical deformation. A periodic media is considered, which due to the assumption of length scale separation, allows the dispersion relations to be obtained by analyzing a single unit cell subjected to Floquet–Bloch boundary conditions. A finite macroscopic deformation is applied to the unit cell to affect its geometry and hence dispersion. We tune the dispersion–deformation relation to our liking by solving a topology optimization problem using nonlinear programming. The adjoint method is employed to compute the sensitivities, and the non-differentiability of degenerate eigenvalues is avoided using symmetric polynomials. Several tunable phononic... (More)
Topology optimization is used to design phononic bandgap materials that are tunable by mechanical deformation. A periodic media is considered, which due to the assumption of length scale separation, allows the dispersion relations to be obtained by analyzing a single unit cell subjected to Floquet–Bloch boundary conditions. A finite macroscopic deformation is applied to the unit cell to affect its geometry and hence dispersion. We tune the dispersion–deformation relation to our liking by solving a topology optimization problem using nonlinear programming. The adjoint method is employed to compute the sensitivities, and the non-differentiability of degenerate eigenvalues is avoided using symmetric polynomials. Several tunable phononic crystal designs are presented. Also, a verification analysis is performed, wherein the optimized design is interpreted and analyzed using a conforming finite element mesh.
(Less)
- author
- Dalklint, Anna LU ; Wallin, Mathias LU ; Bertoldi, Katia and Tortorelli, Daniel
- organization
- publishing date
- 2022
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Finite strain, Phononic crystal, Topology optimization, Tunable material properties
- in
- Journal of the Mechanics and Physics of Solids
- volume
- 163
- article number
- 104849
- publisher
- Elsevier
- external identifiers
-
- scopus:85127143608
- ISSN
- 0022-5096
- DOI
- 10.1016/j.jmps.2022.104849
- language
- English
- LU publication?
- yes
- id
- 163768e0-31ed-4e8a-9dc1-16424128b49e
- date added to LUP
- 2022-05-05 14:00:17
- date last changed
- 2023-04-02 23:37:02
@article{163768e0-31ed-4e8a-9dc1-16424128b49e,
abstract = {{<p>Topology optimization is used to design phononic bandgap materials that are tunable by mechanical deformation. A periodic media is considered, which due to the assumption of length scale separation, allows the dispersion relations to be obtained by analyzing a single unit cell subjected to Floquet–Bloch boundary conditions. A finite macroscopic deformation is applied to the unit cell to affect its geometry and hence dispersion. We tune the dispersion–deformation relation to our liking by solving a topology optimization problem using nonlinear programming. The adjoint method is employed to compute the sensitivities, and the non-differentiability of degenerate eigenvalues is avoided using symmetric polynomials. Several tunable phononic crystal designs are presented. Also, a verification analysis is performed, wherein the optimized design is interpreted and analyzed using a conforming finite element mesh.</p>}},
author = {{Dalklint, Anna and Wallin, Mathias and Bertoldi, Katia and Tortorelli, Daniel}},
issn = {{0022-5096}},
keywords = {{Finite strain; Phononic crystal; Topology optimization; Tunable material properties}},
language = {{eng}},
publisher = {{Elsevier}},
series = {{Journal of the Mechanics and Physics of Solids}},
title = {{Tunable phononic bandgap materials designed via topology optimization}},
url = {{http://dx.doi.org/10.1016/j.jmps.2022.104849}},
doi = {{10.1016/j.jmps.2022.104849}},
volume = {{163}},
year = {{2022}},
}