Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 134, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2019.103770
Keywords
Dynamic homogenization; Piezoelectric composite; Bloch Floquet waves; Metamaterials; Effective properties; Constitutive relations; Wave propagation; Willis coupling
Funding
- Israel Science Foundation [1912/15]
- United States-Israel Binational Science Foundation [2014358]
- Israel Ministry of Science and Technology [880011]
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The momentum of deformable materials is coupled to their velocity. Here, we show that in piezoelectric composites which deform under electric fields, the momentum can also be coupled to the electric stimulus by a designed macroscopic property. To this end, we assemble these materials in a pattern with asymmetric microstructure, develop a theory to calculate the relations between the macroscopic fields, and propose a realizable system that exhibits this coupling. In addition to its fundamental importance, our design thus forms a metamaterial for mechanical wave control, as traversing waves are governed by the balance of momentum, and, in turn, the engineered electro-momentum coupling. While introduced for piezoelectric materials, our analysis immediately applies to piezomagnetic materials, owing to the mathematical equivalence between their governing equations, and we expect our framework to benefit other types of elastic media that respond to non-mechanical stimuli. (C) 2019 Elsevier Ltd. All rights reserved.
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