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Topology optimization design scheme for broadband non-resonant hyperbolic elastic metamaterials.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Feb2019, Vol. 344, p819-836. 18p. - Publication Year :
- 2019
-
Abstract
- Abstract Metamaterials with hyperbolic equal-frequency contours possess unique properties, which offer novel means in elastic wave manipulation. The existing designs are either resonant-structure based that have large damping loss or have a relatively narrow working frequency range. In this paper, a topology optimization approach is developed to design non-resonant hyperbolic elastic metamaterials over a broad frequency range. Based on the physical nature of hyperbolic metamaterials, a two-step topology optimization design scheme is formulated and solved by a gradient-based optimizer. By engineering the dispersion band structure, non-resonant hyperbolic metamaterials have been successfully designed. Novel features such as negative refraction, wave partial focusing and super-resolution imaging have been numerically demonstrated. Highlights • A topology optimization scheme is proposed for hyperbolic elastic metamaterial design. • Structural integrity is ensured by imposing constraint on static effective modulus. • Novel wave features are demonstrated over broad frequency range. • Directional and polarization-dependent transmission has been achieved. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 344
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 134184444
- Full Text :
- https://doi.org/10.1016/j.cma.2018.10.034