Tunable phononic bandgap materials designed via topology optimization

Anna Dalklint, Mathias Wallin, Katia Bertoldi, Daniel Tortorelli

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

Sammanfattning

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.

Originalspråkengelska
Artikelnummer104849
TidskriftJournal of the Mechanics and Physics of Solids
Volym163
DOI
StatusPublished - 2022

Ämnesklassifikation (UKÄ)

  • Teknisk mekanik
  • Beräkningsmatematik

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