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Numerical modelling of SH-wave propagation in initially-stressed multilayered composite structures: A casewise study

机译：初应力多层复合结构中SH波传播的数值模拟：个案研究

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Purpose The purpose of this paper is to develop a numerical (finite-difference) model exploring phase and group velocities of SH-wave propagation in initially stressed transversely isotropic poroelastic multi-layered composite structures and initially stressed viscoelastic-dry-sandy multi-layered composite structures in two distinct cases.Design/methodology/approach With the aid of relevant constitutive relations, the non-vanishing equations of motions for the propagation SH-wave in the considered composite structures have been derived. Haskell matrix method and finite-difference scheme are adopted to deduce velocity equation for both the cases. Stability analysis for the adopted finite-difference scheme has been carried out and the expressions for phase as well as group velocity in terms of dispersion-parameter and stability-ratio have been deduced.Findings Velocity equations are derived for the propagation of SH-wave in both the composite structures. The obtained results are matched with the classical results for the case of double and triple-layered composite structure along with comparative analysis. Stability analysis have been carried out to develop expressions of phase as well as group velocity in terms of dispersion-parameter and stability-ratio. The effect of wavenumber, dispersion parameter along with initial-stress, porosity, sandiness, viscoelasticity, stability ratio, associated with the said composite structures on phase, damped and group velocities of SH-wave has been unveiled.Originality/value To the best of authors' knowledge, numerical modelling and analysis of propagation characteristics of SH-wave in multi-layered initially stressed composite structures composed of transversely isotropic poroelastic materials and viscoelastic-dry-sandy materials remain unattempted inspite of its importance and relevance in many branches of science and engineering.
机译：目的本文的目的是建立一个数值模型（有限差分），探索在初始应力的横观各向同性多孔弹性多层复合结构和初始应力的粘弹性-干砂多层复合材料中SH波传播的相位和群速度。在两种不同情况下的结构。设计/方法/方法借助相关的本构关系，得出了所考虑的复合结构中SH波传播的运动的不消失方程。两种情况均采用Haskell矩阵法和有限差分法推导速度方程。对所采用的有限差分格式进行了稳定性分析，并推导了色散参数和稳定性比方面的相位和群速度的表达式。得出了SH波在水中传播的速度方程。两种复合结构。所得结果与双层和三层复合结构情况下的经典结果相匹配，并进行了比较分析。已经进行了稳定性分析以开发色散参数和稳定性比率方面的相位以及群速度的表达式。揭示了波数，色散参数以及初始应力，孔隙率，含沙性，粘弹性，稳定性比等与上述复合结构有关的SH波的相位，阻尼和群速度的影响。作者的知识，数值模型和SH波在由横观各向同性多孔弹性材料和粘弹性干砂质材料组成的多层初始应力复合结构中的传播特性分析，尽管其在许多科学和科学领域中的重要性和相关性仍未被人们所重视。工程。

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