Scaling laws for stress and energy for interface with strong rate-weakening friction

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2018

Author dc:creator

• Rao, Yuyang

Contributors dc:contributor

• Elbanna, Ahmed

• Velocity weakening
• Multiscale fracture
• Man-made seismicity
• Burridge-Knopoff chain model

Statement dc:rights

• Copyright 2017 Yuyang Rao

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/99440

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/99440