Equivalent Number of Uniform Stress Cycles for Soil Liquefaction Analysis
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 127, Issue 12
Abstract
The seismic demand on potentially liquefiable soils can be approximated by a series of uniform shear stress cycles. Procedures are reviewed for converting an arbitrary acceleration time history to a series of uniform cycles with amplitude = 0.65 of the peak. The number of cycles (N) at this amplitude is evaluated so as to represent a seismic demand for liquefaction triggering equivalent to that of the accelerogram. An assumed relationship between N and magnitude (m) underlies so-called magnitude scaling factors used to adjust the liquefaction resistance of soil for the effects of duration/magnitude. Scaling factors can alternatively be related directly to N, which enables the effects of factors other than m (for example, site-source distance r) to be quantified. We develop empirical models for N that are applicable to active tectonic regions and find a strong dependence on m and r and a weaker dependence on site condition and near-fault rupture directivity effects. The model for N is used to develop new scaling factors for soil liquefaction resistance that are distance-dependent and have a defined level of uncertainty.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 127 • Issue 12 • December 2001
Pages: 1017 - 1026
History
Received: Dec 28, 1999
Published online: Dec 1, 2001
Published in print: Dec 2001
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