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首页> 外文期刊>Applied Mathematical Modelling >Mathematical model for Rayleigh-type and Love-type wave propagation in pre-stressed composite medium with sinusoidal type of curved boundaries
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Mathematical model for Rayleigh-type and Love-type wave propagation in pre-stressed composite medium with sinusoidal type of curved boundaries

机译：曲线边界为正弦型的预应力复合介质中瑞利型和洛夫型波传播的数学模型

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Highlights•Rayleigh-type and Love-type wave propagation in reinforced media are studied.•The effect of curved boundaries on the displacement components is investigated.•The boundary is of sinusoidal type with small but non-zero curvature.•Graphs show the effect of curved boundaries and initial stresses on displacements.AbstractThe aim of this paper is to establish the effect of curved boundaries with small but non-zero curvature on the displacement of a particle due to surface wave propagation in an important geo-media called reinforced composite media. The analysis has been carried out from an unusual stand point, which is to consider the effect of curved boundaries on displacement components during wave propagation. If the displacement components arising for stratified boundaries are termed as primary components, then secondary components should also exist for the curvature present in the boundaries. These secondary parts are composed of different harmonic components with their amplitudes depending on the extent of curvature of boundaries. Depending upon the shape of the boundaries, the wave numbers of the primary and secondary components relate one another. Graphs have been plotted to observe the effect of curved boundaries and initial stresses on displacement components. The clearly observable differences of the curves plotted for the cases of planar and non-planar boundaries forecast the important findings of this paper.
机译： 突出显示 • 研究了增强介质中瑞利型和洛夫型波的传播。 • 研究了弯曲边界对位移分量的影响。 • The边界为正弦类型，曲率较小但非零。 • 图形弯曲边界和初始应力如何影响位移。 摘要 本文的目的是建立具有小但非零曲率的弯曲边界对表面波传播引起的粒子位移的影响在一种重要的地理媒体（称为增强复合媒体）中。分析是从一个不寻常的角度进行的，即要考虑弯曲边界对波传播过程中位移分量的影响。如果将因分层边界产生的位移分量称为主要分量，那么对于边界中存在的曲率，还应该存在次要分量。这些次级部分由不同的谐波分量组成，其振幅取决于边界曲率的程度。取决于边界的形状，初级和次级分量的波数彼此相关。已经绘制了图表以观察弯曲边界和初始应力对位移分量的影响。在平面和非平面边界情况下绘制的曲线的明显可观察到的差异预测了本文的重要发现。

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