Eigenfunction expansion method to characterize Rayleigh wave propagation in orthotropic medium with phase lags

被引：23

作者：

Biswas, Siddhartha ^{[1
,2
]}

Mukhopadhyay, Basudeb ^{[2
]}

机构：

[1] Univ North Bengal, Dept Math, Darjeeling, India

[2] Indian Inst Engn Sci & Technol, Dept Math, Sibpur, India

来源：

WAVES IN RANDOM AND COMPLEX MEDIA | 2019年 / 29卷 / 04期

关键词：

SURFACE-WAVES; ELASTIC-MATERIALS; INITIAL STRESS; HALF-SPACE; EQUATIONS; ROTATION; PLANE;

D O I：

10.1080/17455030.2018.1470355

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The present paper deals with the propagation of Rayleigh surface waves in homogeneous, orthotropic thermoelastic half space in the context of three-phase lag model of thermoelasticity. A vector matrix differential equation is formed by employing normal mode analysis to the considered equations which is then solved by eigenfunction expansion method. The frequency equations for different cases are derived and the path of surface particles during Rayleigh wave propagation is found elliptical. Effect of phase lags on phase velocity, attenuation coefficient, and specific loss are presented graphically with respect to frequency as well as wave number.

引用

页码：722 / 742

页数：21