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Antiplane Stoneley waves propagating at the interface between two couple stress elastic materials
Acta Mechanica ( IF 2.3 ) Pub Date : 2021-01-13 , DOI: 10.1007/s00707-020-02909-y
Andrea Nobili , Valentina Volpini , Cesare Signorini

We investigate antiplane Stoneley waves, localized at the discontinuity surface between two perfectly bonded half-spaces. Both half-spaces are elastic linear isotropic and possess a microstructure that is described within the theory of couple stress materials with micro-inertia. We show that the microstructure deeply affects wave propagation, which is permitted under broad conditions. This outcome stands in marked contrast to classical elasticity, where antiplane Stoneley waves are not supported and in-plane Stoneley waves exist only under very severe conditions on the material properties of the bonded half-spaces. Besides, Stoneley waves may propagate only beyond a threshold frequency (cuton), for which an explicit expression is provided. For a given frequency above cuton, this expression lends the admissible range of material parameters that allows propagation (passband). In particular, significant contrast between the adjoining materials is possible, provided that Stoneley waves propagate at high enough frequency. Therefore, micro-inertia plays an important role in determining the features of propagation. Considerations concerning existence and uniqueness of antiplane Stoneley waves are given: it is found that evanescent and decaying/exploding modes are also admitted. Results may be especially useful when accounting for the microstructure in non-destructive testing (NDT) and seismic propagation.



中文翻译:

在两对应力弹性材料之间的界面传播的反斯通利波

我们研究了反平面的斯通利波,它们位于两个完美结合的半空间之间的不连续表面处。两个半空间都是弹性线性各向同性的,并且具有在具有微惯性的应力材料耦合理论中描述的微观结构。我们表明,微观结构深刻地影响了波的传播,这在广泛的条件下是允许的。这一结果与经典弹性形成了鲜明的对比,在经典弹性中,不支持反平面的斯通利波,而平面的斯通利波仅在结合半空间的材料特性非常严格的条件下存在。此外,斯通利波只能传播超过阈值频率(cuton),为此提供了明确的表达。对于超过截止频率的给定频率,该表达式为允许传播(通带)的材料参数提供了允许的范围。尤其是,只要斯通利波以足够高的频率传播,相邻材料之间的显着对比是可能的。因此,微惯性在确定传播特征中起着重要作用。给出了有关反平面斯通利波的存在和唯一性的考虑:发现e逝和衰减/爆炸模式也被接受。当在无损检测(NDT)和地震传播中考虑微观结构时,结果可能特别有用。微惯性在确定传播特征中起着重要作用。给出了有关反平面斯通利波的存在和唯一性的考虑:发现e逝和衰减/爆炸模式也被接受。当在无损检测(NDT)和地震传播中考虑微观结构时,结果可能特别有用。微惯性在确定传播特征中起着重要作用。给出了有关反平面斯通利波的存在和唯一性的考虑:发现e逝和衰减/爆炸模式也被接受。当在无损检测(NDT)和地震传播中考虑微观结构时,结果可能特别有用。

更新日期:2021-01-13
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