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One‐dimensional modelling of the non‐linear far field in soil–structure‐interaction analysis
Author(s) -
Wolf John P.,
Paronesso Antonio
Publication year - 1993
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.4290220104
Subject(s) - discretization , field (mathematics) , representation (politics) , domain (mathematical analysis) , bounded function , finite element method , linear elasticity , wave propagation , component (thermodynamics) , free surface , mathematics , mathematical analysis , mechanics , physics , structural engineering , engineering , optics , pure mathematics , law , thermodynamics , politics , political science
In a bounded domain elasto‐plastic wave propagation can be modelled accurately using the finite‐element method. As is even the case for an elastic analysis, an unbounded domain, e.g. a semi‐infinite soil or fluid, can, however, not be represented in this manner, as any spatial discretization has to be avoided. For one‐dimensional wave propagation with a bi‐linear elasto‐plastic material law involving one stress component an analytical solution exists. The latter is used in modelling the non‐linear far field of an unbounded medium using a rigorous bookkeeping procedure of the generated elastic and plastic waves propagating in both directions. The need for a non‐linear model of the far field arises, as in a two‐dimensional representation of soil‐structure interaction the surface waves do not decay.