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Influence of doubly loaded elastic void pores and distinct inhomogeneity in the sandwiched layered composite structure
Waves in Random and Complex Media ( IF 4.051 ) Pub Date : 2020-05-27 , DOI: 10.1080/17455030.2020.1769228
Akanksha Srivastava 1 , Amares Chattopadhyay 1 , Abhishek Kumar Singh 1
Affiliation  

This research article deals with the study of shear (SH) wave propagation in two dissimilar layered elastic medium with void pores over an inhomogeneous semi-infinite medium. The casewise study is carried out by assuming two types of inhomogeneity varies exponentially and linearly with depth. Solving the equation of motions and taking account of boundary conditions, two dispersion relations have been identified which indicating the existence of two types of shear waves. One dispersion relation corresponds to the first kind of SH wave associated with a change in void volume fraction. Another relation corresponds to the second kind of SH wave associated with the elastic properties of the matrix part of material medium. We notified the result that the first kind of wavefront is same for both the cases. Moreover, the deduced result obtained is in well-agreement with pre-established and classical results. The influence of concerned parameters on both kinds of wavefront is shown graphically and discussed in the section of numerical simulation of the proposed model. The present problem is meaningful and may find applications in various fields such as geophysics, geology, mechanical engineering, earthquake engineering, and civil engineering.



中文翻译:

夹层层状复合结构中双重加载弹性孔隙和明显不均匀性的影响

本研究文章涉及剪切 (SH) 波在不均匀的半无限介质上在具有空隙孔的两种不同层状弹性介质中的传播研究。通过假设两种类型的不均匀性随深度呈指数和线性变化来进行案例研究。求解运动方程并考虑边界条件,确定了两种色散关系,表明存在两种类型的剪切波。一个色散关系对应于与空隙体积分数变化相关的第一种 SH 波。另一种关系对应于与材料介质基体部分的弹性特性相关的第二种SH波。我们通知了两种情况的第一种波前相同的结果。而且,得到的推导结果与预先确定的经典结果非常吻合。相关参数对两种波前的影响以图形方式显示,并在所提出模型的数值模拟部分进行了讨论。目前的问题是有意义的,可以在地球物理学、地质学、机械工程、地震工程和土木工程等各个领域找到应用。

更新日期:2020-05-27
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