On the existence of high-frequency boundary resonances in layered elastic media
On the existence of high-frequency boundary resonances in layered elastic media
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DOI：
10.1098/rspa.2014.0878
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发表时间：
2015-06-08
影响因子：
3.5
通讯作者：
Cooper, S.
中科院分区：
文献类型：
--
作者：
Cherednichenko, K. D.;Cooper, S.
本文分析了三维层状弹性介质高频振动的渐近行为，其区域为Ω =（-a，a）（3），a > 0。我们表明，在这两种情况下的应力自由和零位移边界条件的边界上的欧米茄的一个版本的边界谱，介绍了在Allaire和Conca（1998年J。77，153-208. (doi：10.1016/S 0021 -7824（98）80068-8））是非空的，并且它的一部分位于布洛赫谱之下。对于零位移边界条件，这产生了一种新型的表面波，这是不存在的情况下，均匀介质。
We analyse the asymptotic behaviour of high-frequency vibrations of a three-dimensional layered elastic medium occupying the domain Omega = (-a, a)(3), a > 0. We show that in both cases of stress-free and zero-displacement boundary conditions on the boundary of Omega a version of the boundary spectrum, introduced in Allaire and Conca (1998 J. Math. Pures. Appl. 77, 153-208. (doi:10.1016/S0021-7824(98)80068-8)), is non-empty and part of it is located below the Bloch spectrum. For zero-displacement boundary conditions, this yields a new type of surface wave, which is absent in the case of a homogeneous medium.