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

Rao, Yuyang

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

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

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

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

Copyright and License Information

Copyright 2017 Yuyang Rao

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