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Keywords = soft wall billiards

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10 pages, 5045 KB  
Article
Design of Energy Absorbing Metamaterials Using Stochastic Soft-Wall Billiards
by Valery Pilipchuk
Symmetry 2021, 13(10), 1798; https://doi.org/10.3390/sym13101798 - 27 Sep 2021
Cited by 3 | Viewed by 1978
Abstract
Physical principles for designing cellwise artificial materials with energy-absorbing/harvesting and wave guiding properties are discussed in the present work. We analyzed the evolution of waves in a one-dimensional lattice of 3D massive potential wells with light particles inside. The potential wells were coupled [...] Read more.
Physical principles for designing cellwise artificial materials with energy-absorbing/harvesting and wave guiding properties are discussed in the present work. We analyzed the evolution of waves in a one-dimensional lattice of 3D massive potential wells with light particles inside. The potential wells were coupled with elastic springs and represented soft-wall versions of the so-called stochastic billiards. A billiard could switch from repelling to the stadium type as the parameter of shape changed its sign from positive to negative. We found that certain shapes of the potential wells/containers provided a one-directional trend of the energy flow from the chain of containers into the chaotically moving light inclusions by increasing their total kinetic energy. As a result, propagating waves became trapped by giving rise to standing waves with chaotic mode shapes with decaying amplitudes. Full article
(This article belongs to the Special Issue Dynamical Processes in Heterogeneous and Discrete Media)
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