caa a22 4500 606167218 CHVBK 20210128100701.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10665-014-9718-1 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9718-1 Propagation of torsional waves in an inhomogeneous layer sandwiched between inhomogeneous semi-infinite strata [Elektronische Daten] [Pato Kumari, V. Sharma, Chitra Modi] The present work deals with the propagation of torsional waves in an inhomogeneous layer sandwiched between inhomogeneous semi-infinite strata. The superstratum has exponential variation in rigidity and density, whereas inhomogeneities in the layer and the substratum are assumed to arise due to linear and quadratic variations in shear modulus and density. Closed-form solutions for displacements in the layer and the semi-infinite strata are obtained. A generalized implicit dispersion equation is obtained for the phase velocity and expressed in terms of Heun functions and their derivatives. Three possible torsional modes are derived and characterized separately. It is observed that the effects of inhomogeneity parameters are different for different modes of torsional waves and certain torsional modes are found to be independent of certain inhomogeneity parameters. The range of confinement of torsional modes, the combined effect of wave number and inhomogeneity ratio, and the condition of torsional waves becoming nondispersive are derived through numerical simulation and shown using two-dimensional and three-dimensional graphs. Springer Science+Business Media Dordrecht, 2014 Bessel function nationallicence Heun confluent function nationallicence Heun function nationallicence Inhomogeneous semi-infinite media nationallicence Phase velocity nationallicence Quadratic inhomogeneity variation nationallicence Torsional surface waves nationallicence Kumari Pato Department of Mathematics, Jaypee Institute of Information Technology, 201307, Noida, India aut Sharma V. Institute for Systems Studies & Analyses, DRDO, 110054, Delhi, India aut Modi Chitra Department of Mathematics, Jaypee Institute of Information Technology, 201307, Noida, India aut Journal of Engineering Mathematics Springer Netherlands 90/1(2015-02-01), 1-11 0022-0833 90:1<1 2015 90 10665 https://doi.org/10.1007/s10665-014-9718-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9718-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kumari Pato Department of Mathematics, Jaypee Institute of Information Technology, 201307, Noida, India aut NATIONALLICENCE 700 1- Sharma V. Institute for Systems Studies & Analyses, DRDO, 110054, Delhi, India aut NATIONALLICENCE 700 1- Modi Chitra Department of Mathematics, Jaypee Institute of Information Technology, 201307, Noida, India aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 90/1(2015-02-01), 1-11 0022-0833 90:1<1 2015 90 10665