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Elements for the numerical analysis of wave motion in layered strata
Author(s) -
Tassoulas John L.,
Kausel Eduardo
Publication year - 1983
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620190706
Subject(s) - eigenvalues and eigenvectors , finite element method , stratum , boundary value problem , motion (physics) , boundary (topology) , mathematical analysis , numerical analysis , mathematics , geometry , classical mechanics , structural engineering , geology , physics , geotechnical engineering , engineering , quantum mechanics
A technique is developed for the numerical analysis of wave motion in layered strata. Semidiscrete particular solutions satisfying inhomogeneous boundary conditions are calculated by the finite element method. These solutions are combined with semidiscrete modes of an appropriate eigenvalue problem. The boundary conditions corresponding to rigid and rough footings on a layered stratum are treated in detail. Applications are considered which demonstrate the validity of the technique.