Abstract
Asymmetric piezoelectric composites exhibit coupling between their macroscopic linear momentum and electric field, a coupling that does not appear at the microscopic scale. This electromomentum coupling constitutes an additional knob to tailor the dynamic response of the medium, analogously to the Willis coupling in elastic composites. Here, we employ topology- and free material optimization approaches to maximize the electromomentum coupling of periodic piezoelectric laminates in the low frequency, long-wavelength limit. We find that the coupling can be enhanced by orders of magnitude, depending on the degrees of freedom in the optimization process. The optimal compositions that we find provide guidelines for the design of metamaterials with maximum electromomentum coupling, paving the way for their integration in wave control applications.
Original language | English |
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Article number | 111909 |
Journal | International Journal of Solids and Structures |
Volume | 254-255 |
DOIs | |
State | Published - 1 Nov 2022 |
Externally published | Yes |
Keywords
- Bloch–Floquet waves
- Composites
- Constitutive relations
- Effective properties
- Gradient-based optimization
- Homogenization
- Piezoelectricity
- Topology optimization
- Willis metamaterials
ASJC Scopus subject areas
- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics