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Title:Scaling laws for stress and energy for interface with strong rate-weakening friction
Author(s):Rao, Yuyang
Advisor(s):Elbanna, Ahmed
Department / Program:Civil & Environmental Eng
Discipline:Civil Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Burridge-Knopoff chain model
Velocity weakening
Multiscale fracture
Man-made seismicity
Abstract:In this study, we present a systematic analysis of chaotic behaviors of earthquakes, using a modified Burridge-Knopoff chain model. Velocity weakening friction law is assumed between sliders and rigid surface. Both the statistical properties of slip, pulling force and average rupture stress are studied with varying the constitutive parameters characterizing the model: the stiffness ratio and strength of the velocity-weakening. Longtime investigations suggest that firstly, a pulse- like brittle behavior would likely to happen for stiff springs and a creep (ductile behavior) would likely to happen for weak springs; secondly, heterogeneity is introduced by strong velocity weakening; thirdly, an empirical relation is explored between average rupture stress and slip, specifically the average rupture stress is logarithmically inverse proportional to slip length; lastly, a scaling law for the system nominal strength may be extracted based on the statistical properties of the prestress. We discuss the implications of our model for understanding the chaotic behaviors of systems with multiscale fractures.
Issue Date:2017-12-15
Rights Information:Copyright 2017 Yuyang Rao
Date Available in IDEALS:2018-03-13
Date Deposited:2017-12

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