Reconfigurable topological insulator for elastic waves

2019 ◽  
Vol 146 (1) ◽  
pp. 773-781 ◽  
Author(s):  
Amir Darabi ◽  
Michael J. Leamy
2020 ◽  
Vol 117 (28) ◽  
pp. 16138-16142 ◽  
Author(s):  
Amir Darabi ◽  
Manuel Collet ◽  
Michael J. Leamy

A substantial challenge in guiding elastic waves is the presence of reflection and scattering at sharp edges, defects, and disorder. Recently, mechanical topological insulators have sought to overcome this challenge by supporting back-scattering resistant wave transmission. In this paper, we propose and experimentally demonstrate a reconfigurable electroacoustic topological insulator exhibiting an analog to the quantum valley Hall effect (QVHE). Using programmable switches, this phononic structure allows for rapid reconfiguration of domain walls and thus the ability to control back-scattering resistant wave propagation along dynamic interfaces for phonons lying in static and finite-frequency regimes. Accordingly, a graphene-like polyactic acid (PLA) layer serves as the host medium, equipped with periodically arranged and bonded piezoelectric (PZT) patches, resulting in two Dirac cones at theKpoints. The PZT patches are then connected to negative capacitance external circuits to break inversion symmetry and create nontrivial topologically protected bandgaps. As such, topologically protected interface waves are demonstrated numerically and validated experimentally for different predefined trajectories over a broad frequency range.


2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.


Vestnik MEI ◽  
2018 ◽  
Vol 2 (2) ◽  
pp. 129-134
Author(s):  
Andrey A. Kal’shchikov ◽  

2020 ◽  
Vol 4 ◽  
pp. 117-126
Author(s):  
V.L. Skuratnik ◽  
◽  
P.V. Nikolenko ◽  
P.S. Anufrenkova ◽  
◽  
...  

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1895-1898 ◽  
Author(s):  
Jan Kudlicka
Keyword(s):  

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