A note on the effect of rigidity and initial stress on the propagation of Rayleigh waves in pre-stressed orthotropic elastic layered medium

被引：2

作者：

Madan, Dinesh Kumar ^{[1
]}

Rani, Annu ^{[1
]}

Punia, Mukesh ^{[2
]}

机构：

[1] Chaudhary Bansi Lal Univ, Dept Math, Bhiwani 127021, Haryana, India

[2] SD PG Coll, Dept Math, Panipat 132103, Haryana, India

来源：

PROCEEDINGS OF THE INDIAN NATIONAL SCIENCE ACADEMY | 2021年 / 87卷 / 03期

关键词：

Rayleigh waves; Orthotropic; Prestress; Rigid; Spring contact; FREE-SURFACE; REFLECTION;

D O I：

10.1007/s43538-021-00044-3

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper contains the secular equation of Rayleigh waves in a prestressed semi-infinite space of orthotropic material which is covered by a prestressed elastic layer of orthotropic material. The semi-infinite space and layer are treated as in spring contact to each other. This paper treats the surface of layer as rigid. The effect of tensile and compressional stress on velocity curve is depicted in form of graphs. Particular cases for perfect and sliding interface is discussed and secular equation is derived. Comparison of velocity curve for welded and spring contacts has been examined graphically. MATLAB programming language is used to plot the graphs. Effect of stiffness constants on velocity of Rayleigh waves has been shown graphically.

引用

页码：487 / 498

页数：12

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