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Rayleigh Waves in a Half‐Infinite Elastic Diatomic Space
Author(s) -
Nowinski J. L.
Publication year - 1989
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19890690202
Subject(s) - dispersion (optics) , rayleigh wave , rayleigh scattering , space (punctuation) , diatomic molecule , plane (geometry) , boundary (topology) , boundary value problem , classical mechanics , surface (topology) , dispersion relation , mechanics , equations of motion , mathematical analysis , surface wave , physics , materials science , mathematics , optics , geometry , molecule , quantum mechanics , computer science , operating system
The paper examines propagation of plane waves over the surface of a half‐infinite space whose material is elastic, and the particles include two atoms of different thermomechanical properties. After establishing the constitutive equations of the constituents, the equations of motion are solved by appeal to four quasi‐potential functions. Satisfaction of the boundary conditions yields the characteristic equation of the problem which – in contrast to the conventional case and in agreement with seismological observations – indicates dispersion of the Rayleigh waves. An example involving relaxed bonds between the constituents is examined and illustrated by graphs.