Effect of rigid boundary on Rayleigh wave in an incompressible heterogeneous medium over an incompressible half-space

In the present problem, an attempt has been made to study the propagation of Rayleigh waves in an incompressible medium with polynomial variation (m) of rigidity over an incompressible half-space under rigid layer. Instead of using the Whittaker function, the expansion formula proposed by Newlands h...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 3; pp. 2088 - 2099
Main Authors Kumar Mukhopadhyay, Anup, Kumar Gupta, Asit, Kundu, Santimoy, Patra, Pulak
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
heterogeneity
incompressible
rigid boundary
rigidity
wave propagation
Online AccessGet full text
ISSN2473-6988
2473-6988
DOI10.3934/math.2020138

Cover

More Information
Summary:In the present problem, an attempt has been made to study the propagation of Rayleigh waves in an incompressible medium with polynomial variation (m) of rigidity over an incompressible half-space under rigid layer. Instead of using the Whittaker function, the expansion formula proposed by Newlands has been used for a better result in shallow depth. The velocity equation has been calculated and the results are shown in figures. The study in the assumed medium, the authors obtained that the phase velocity of Rayleigh waves increases except for the polynomial variation of rigidity m=1, 2 and 3.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020138