Influence of linearly varying density and rigidity on torsional surface waves in inhomogeneous crustal layer |
| |
Authors: | S Gupta S K Vishwakarma D K Majhi S Kundu |
| |
Institution: | Department of Applied Mathematics, Indian School of Mines, Dhanbad 826004, Jharkhand, India |
| |
Abstract: | The present work deals with the possibility of propagation of torsional surface wave in an inhomogeneous crustal layer over an inhomogeneous half space. The layer has inhomogeneity which varies linearly with depth whereas the inhomogeneous half space exhibits inhomogeneity of three types, namely, exponential, quadratic, and hyperbolic discussed separately. The dispersion equation is deduced for each case in a closed form. For a layer over a homogeneous half space, the dispersion equation agrees with the equation of the classical case. It is observed that the inhomogeneity factor due to linear variation in density in the inhomogeneous crustal layer decreases as the phase velocity increases, while the inhomogeneity factor in rigidity has the reverse effect on the phase velocity. |
| |
Keywords: | torsional wave phase velocity crustal layer exponential quadratic hyperbolic copmpoate compresson backing GKRR maim comem |
本文献已被 CNKI 维普 SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |