Premium
Surface waves in a half‐space of submerged sand
Author(s) -
Vardoulakis I.
Publication year - 1981
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290090403
Subject(s) - rayleigh wave , compressibility , half space , surface (topology) , mathematical analysis , shear modulus , eigenvalues and eigenvectors , polynomial , vibration , harmonic , space (punctuation) , constant (computer programming) , transverse plane , mathematics , geometry , physics , surface wave , mechanics , acoustics , structural engineering , engineering , optics , computer science , quantum mechanics , thermodynamics , programming language , operating system
The present analysis deals with harmonic Rayleigh‐type and transverse surface waves in a half‐space of incompressible material with constant density and with shear modulus linearly increasing with depth. This model is proposed for describing the response of a half‐space of submerged, dense sand to small strain vibrations of many cycles. It is shown that a discrete spectrum of polynomial solutions is always possible which makes the eigenvalue problem more tractable.