RT Journal Article
T1 Non-Hermitian elastodynamics in gyro-odd continuum media
A1 Gao, Penglin
A1 Qu, Yegao
A1 Christensen, Johan
AB Linear elasticity has long been considered a well-established research area using conservative field theory. However, the discovery of odd-elasticity challenges the essential energy conservation assumption, which together with gyroscopic ingredients compromise the fundamental theory of elasticity, but to the same effect, enable new directions in active elastodynamics. Here, we consider two-dimensional continuum mechanics in a more general framework containing active constituents from both gyroscopic and odd-elastic effects, which gives rise to non-reciprocal and non-Hermitian elastic waves in a highly unconventional guise. We discuss how these unusual media can extract energy from odd-elastic engine cycles comprising remarkable features of stability transitions, in which the energy exchange process reverses. Beyond bulk waves, akin to the unidirectional characteristics of a 2D quantum-Hall insulator, we demonstrate the existence of non-Hermitian Rayleigh surface waves which, in contrast to the classical ones in passive solids, display one-way and interference-free transport characteristics, which even remain resilient in finite sharp or curved geometries. The findings reported here may provide new possibilities to manipulate elastic waves in unusual ways.
PB Springer Nature
SN 2662-4443
YR 2022
FD 2022-10-13
LK https://hdl.handle.net/10016/36476
UL https://hdl.handle.net/10016/36476
LA eng
NO J.C. acknowledges the support from the European Research Council (ERC) through the Starting Grant No. 714577 PHONOMETA and from the MINECO through a Ramón y Cajal grant (Grant No. RYC-2015-17156). Y.Q. acknowledges the support from the National Natural Science Foundation of China (Grant Nos. U2141244, 11922208, 11932011, 12121002) and the Oceanic Interdisciplinary Program of Shanghai Jiao Tong University (Grant No. SL2021ZD104). P.G. acknowledges the support from the National Natural Science Foundation of China (Grant No. 12202267), Shanghai Pujiang Program (Grant No. 22PJ1405300) and the Starting Grant of Shanghai Jiao Tong University (Grant No. WH220402014).
DS e-Archivo
RD 15 sept. 2024