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Dynamic impedances of a weakly anelastic medium
Author(s) -
Sienkiewicz Zbigniew
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.4290221107
Subject(s) - taylor series , series (stratigraphy) , electrical impedance , mathematical analysis , boundary value problem , frequency domain , domain (mathematical analysis) , boundary (topology) , magnitude (astronomy) , mathematics , physics , geology , paleontology , quantum mechanics , astronomy
Approximate formulas are derived to evaluate in the frequency domain the dynamic impedances of a weakly anelastic medium based on its pure elastic behaviour. The correspondence principle is applied to the elastic solution of a boundary‐value problem followed by the expansion of the anelastic solution in a Taylor series about the elastic state. Taking the magnitude of material damping into account (small damping) only the first two terms of the Taylor series have been used. The derivatives of first order in the expansion can be determined by the central difference approximation; this requires only the evaluation of differences between neighbouring elastic solutions.