A level set-based interface-enriched topology optimization for the design of phononic crystals with smooth boundaries

A level set-based interface-enriched topology optimization for the design of phononic crystals with smooth boundaries

van den Boom, S.J. (TU Delft Computational Design and Mechanics)
Abedi, Reza (The University of Tennessee Knoxville)
van Keulen, A. (TU Delft Mechanical Engineering)
Aragon, A.M. (TU Delft Computational Design and Mechanics)

Mechanical Engineering

2023

Phononic crystals can be designed to show band gaps—ranges of frequencies whose propagation is strongly attenuated in the material. In essence, their working principle is based on destructive interference of waves reflecting from the periodic arrangement of material interfaces (i.e., Bragg scattering). Consequently, capturing accurately the behavior at material interfaces requires appropriate numerical modeling and computational design techniques. However, the commonly used density-based representation in popular topology optimization methods results in a diffuse staircased boundary. The heavily refined finite element meshes required to compensate for this boundary description results in exceedingly large and expensive optimization problems. In this paper, we demonstrate the adverse effect of the density-based boundary description. Furthermore, we propose a level set-based topology optimization procedure with an enriched finite element method that shows improved performance when compared to the density-based approach.

Band gap maximization
Diffuse boundaries
Phononic crystals
Smoothness
Topology optimization

http://resolver.tudelft.nl/uuid:55c2c602-e99e-4866-a6fc-72ce04f39275

https://doi.org/10.1016/j.cma.2023.115888

0045-7825

Computer Methods in Applied Mechanics and Engineering, 408

Institutional Repository

journal article

© 2023 S.J. van den Boom, Reza Abedi, A. van Keulen, A.M. Aragon