Sliding blocks under Near-fault pulses: Closed-form solutions

Elia Voyagaki*, George Mylonakis, Ioannis N. Psycharis

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

3 Citations (Scopus)

Abstract

Analytical and numerical solutions are presented for the rigid-plastic response of geo-structures to idealized ground acceleration pulses. These shock-like waveforms are typical of near-fault earthquake motions generated by forward fault-rupture directivity and may inflict large permanent displacements in the absence of substantial residual soil strength. The geo-structures are modeled as rigid blocks resting on inclined frictional planes. Although idealized, these models are widely accepted by geotechnical engineers, for simulating a variety of structures including retaining walls, embankments and slopes. Four basic simple pulse waveforms are examined: (1) rectangular; (2) sinusoidal; (3) triangular; (4) exponential. An analytical study is presented on the effect of frictional strength and number of excitation cycles on peak displacements. Results are presented in the form of dimensionless graphs and closed-form expressions that elucidate the salient features of the problem. It is shown that Newmark approaches based on conventional motions may under- or over-estimate peak displacements depending on the circumstances. It is also shown that all three time histories of ground motion (i.e., acceleration, velocity, and displacement) control peak response - contrary to the widespread view that ground velocity alone is of leading importance. Issues related to scaling laws of peak displacement are discussed.

Original languageEnglish
Title of host publicationProceedings of the Geotechnical Earthquake Engineering and Soil Dynamics IV Congress 2008 - Geotechnical Earthquake Engineering and Soil Dynamics, GSP 181
Edition181
DOIs
Publication statusPublished - 1 Dec 2008
EventGeotechnical Earthquake Engineering and Soil Dynamics IV Congress 2008 - Geotechnical Earthquake Engineering and Soil Dynamics - Sacramento, CA, United States
Duration: 18 May 200822 May 2008

Conference

ConferenceGeotechnical Earthquake Engineering and Soil Dynamics IV Congress 2008 - Geotechnical Earthquake Engineering and Soil Dynamics
CountryUnited States
CitySacramento, CA
Period18/05/0822/05/08

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