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PROPAGATION OF TORSIONAL SURFACE WAVES IN A HOMOGENEOUS SUBSTRATUM OVER A HETEROGENEOUS HALF‐SPACE
Author(s) -
DEY S.,
GUPTA A. K.,
GUPTA S.
Publication year - 1996
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(199604)20:4<287::aid-nag822>3.0.co;2-2
Subject(s) - half space , homogeneous , love wave , rigidity (electromagnetism) , wave propagation , surface wave , surface (topology) , mechanics , longitudinal wave , space (punctuation) , physics , mechanical wave , classical mechanics , geometry , mathematics , optics , linguistics , philosophy , quantum mechanics , thermodynamics
The paper discusses the propagation of torsional surface wave in a homogeneous substratum over a half‐space with linearly varying rigidity and density. The study reveals that under assumed conditions, a torsional surface wave propagates in the medium. The velocities of torsional surface waves have been calculated numerically and are presented in a number of graphs. It is also observed that for a stratum over a homogeneous half‐space, the velocity of torsional surface waves coincides with that of Love waves. For a non‐homogeneous half‐space it is observed that the velocity of torsional surface waves is always higher than that of Love waves propagated in a homogeneous layer over a homogeneous half‐space. An attempt is also made to assess the possible propagation of torsional surface waves in a half‐space with linearly varying rigidity and density, lacking a superficial layer. It is concluded that such a half‐space allows two solutions for torsional waves while a homogeneous half‐space has one.