Surface Waves, Limiting Waves and Exceptional Waves: David Barnett's Role in the Development of the Theory
Surface Waves, Limiting Waves and Exceptional Waves: David Barnett's Role in the Development of the Theory
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表面波、极限波和异常波：大卫·巴尼特在理论发展中的作用
DOI：
10.1177/1081286508092600
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发表时间：
2009
影响因子：
2.6
通讯作者：
V. Alshits
中科院分区：
文献类型：
--
作者：
J. Lothe;V. Alshits
简要回顾了各向异性固体中局域本征波理论的研究进展。主要讨论了半无限弹性体面波解的存在性问题。在这里，大卫·巴尼特的贡献是最重要的。给出了一般的存在唯一性定理，并考虑了压电和/或压磁耦合介质的解的修正。给出了纯弹性半空间中存在超音速表面波的条件。讨论了跨声速例外态附近的两种情况。根据广义Barnett和Lothe定理，得到了无约束各向异性弹性介质中准体亚音速表面波存在的判据。讨论了异常体波的存在条件及其主要性质。回顾了David Barnett等人关于弹性和压电子介质之间刚性和滑移接触的界面波理论。
A short review is presented of progress in the theory of localized eigenwaves in anisotropic solids. The main attention is paid to the problem of existence of surface wave solutions in semi-infinite elastic bodies. Here the contribution of David Barnett is most important. The general theorems of existence and uniqueness are formulated and their modifications for media with piezoelectric and/or piezomagnetic couplings are considered. The conditions for existence of supersonic surface waves in purely elastic half-spaces are displayed. The situations on both sides of the vicinity of exceptional transonic states are discussed. The criterion for the existence of quasi-bulk subsonic surface waves in elastic media of unrestricted anisotropy is obtained in terms of the general Barnett and Lothe theorem. The conditions for the existence of exceptional bulk waves and their main properties are considered. The interface wave theory of David Barnett et al is reviewed for rigid and slip contacts between elastic and piezoelectric sub-media.