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SILENT BOUNDARY CONDITIONS FOR WAVE PROPAGATION IN SATURATED POROUS MEDIA
Author(s) -
GAJO A.,
SAETTA A.,
VITALIANI R.
Publication year - 1996
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(199604)20:4<253::aid-nag820>3.0.co;2-n
Subject(s) - pile , porous medium , wave propagation , boundary value problem , finite element method , boundary (topology) , rotational symmetry , plane wave , mechanics , physics , structural engineering , porosity , geotechnical engineering , geology , engineering , mathematics , mathematical analysis , optics
Wave propagation both in one‐ and in two‐dimensional saturated elastic porous media is analysed by means of a two‐field finite element model with silent boundaries. An extension of the elastic ‘multidirectional’ transmitting boundary to two‐phase media is developed to simulate the silent boundary condition. The theoretical assessment and the numerical formulation of the first‐order silent boundary technique is presented in detail. Some examples are used to demonstrate the reliability of the first‐order method, especially for problems with plane and axisymmetric waves having various angles of incidence. Finally, the wave propagation along a pile shaft is presented, to simulate a common non‐destructive dynamic pile test.