{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/99440"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/99440","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Scaling laws for stress and energy for interface with strong rate-weakening friction","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Rao, Yuyang"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Civil Engineering","degree_department":null,"school":null,"contributors":["Elbanna, Ahmed"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-03-13T15:49:22Z","date_published":"2018-03-13T15:49:22Z","updated_at":"2026-07-22T22:24:37Z","subjects":["Velocity weakening","Multiscale fracture","Man-made seismicity","Burridge-Knopoff chain model"],"languages":["en"],"rights":["Copyright 2017 Yuyang Rao"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/99440","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Elbanna, Ahmed"]},{"key":"dc:creator","label":"Author","values":["Rao, Yuyang"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-03-13T15:49:22Z","2017-12-15","2017-12"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Velocity weakening","Multiscale fracture","Man-made seismicity","Burridge-Knopoff chain model"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2017 Yuyang Rao"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/99440"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms","The student, Yuyang Rao, accepted the attached license on 2017-12-15 at 10:16.","The student, Yuyang Rao, submitted this Thesis for approval on 2017-12-15 at 10:21.","This Thesis was approved for publication on 2017-12-15 at 11:54.","DSpace SAF Submission Ingestion Package generated from Vireo submission #11993 on 2018-03-13 at 10:12:54","Made available in DSpace on 2018-03-13T15:49:22Z (GMT). No. of bitstreams: 2 RAO-THESIS-2017.pdf: 5247106 bytes, checksum: 9c83898b27cd884f0bb951f38ea217cb (MD5) LICENSE.txt: 4207 bytes, checksum: 31fd43956024f573c9384b05f3d7e45d (MD5) Previous issue date: 2017-12-15"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Scaling laws for stress and energy for interface with strong rate-weakening friction"]}]}],"canonical_facts":{"dc:contributor":["Elbanna, Ahmed"],"dc:creator":["Rao, Yuyang"],"dc:date":["2018-03-13T15:49:22Z","2017-12-15","2017-12"],"dc:description":["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.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms","The student, Yuyang Rao, accepted the attached license on 2017-12-15 at 10:16.","The student, Yuyang Rao, submitted this Thesis for approval on 2017-12-15 at 10:21.","This Thesis was approved for publication on 2017-12-15 at 11:54.","DSpace SAF Submission Ingestion Package generated from Vireo submission #11993 on 2018-03-13 at 10:12:54","Made available in DSpace on 2018-03-13T15:49:22Z (GMT). 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