University of Illinois Urbana-Champaign

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

Rao, Yuyang

Content Files
RAO-THESIS-2017.pdf

Permalink

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

Description

Title
Scaling laws for stress and energy for interface with strong rate-weakening friction
Author(s)
Rao, Yuyang
Issue Date
2017-12-15
Director of Research (if dissertation) or Advisor (if thesis)
Elbanna, Ahmed
Department of Study
Civil & Environmental Eng
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Date of Ingest
2018-03-13T15:49:22Z
Keyword(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.
Graduation Semester
2017-12
Type of Resource
text
Permalink
http://hdl.handle.net/2142/99440
Copyright and License Information
Copyright 2017 Yuyang Rao

Owning Collections

Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Civil and Environmental Engineering