This Article Full Text (PDF) References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Dey, S. Articles by Gupta, S. Search for Related Content Social Bookmarking                         What's this?

Propagation of Torsional Surface Waves in Dry Sandy Medium under Gravity

Department of Applied Mathematics, Indian School of Mines, Dhanbad 826 004, India

A. K. Gupta

Department of Applied Geophysics, Indian School of Mines, Dhanbad 826 004, India

S. Gupta

Department of Applied Mathematics, Indian School of Mines, Dhanbad 826 004, India

This paper studies the possibility of propagation of torsional surface waves in a gravitating earth with a dry sandy medium. The mathematical analysis of the problem has been dealt with in the Whittaker function. Assuming the expansion of the Whittaker function to linear terms, it is concluded that the gravity field will always allow torsional waves to propagate. The expansion of the Whittaker function to quadratic terms shows that two such wave fronts may exist. Finally, it is concluded that the sandy medium without support of a gravity field cannot allow the propagation of torsional surface waves, whereas the presence of a gravity field always supports the propagation of torsional surface waves regardless of whether the medium is elastic or dry sandy.

Mathematics and Mechanics of Solids, Vol. 3, No. 2, 229-235 (1998)
DOI: 10.1177/108128659800300207


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?