{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/83795"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/83795","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Finite Opening of Propagating Shear Cracks","abstract":"Molecular Dynamics (MD) simulations of shear-dominated crack propagation by Abraham and Gao (2000) showed that there was finite crack opening when the crack propagated at a sub-Rayleigh speed while the crack opening became negligible when the crack propagated faster than the shear wave speed. On the other hand, the classical linear dynamics theory predicted that there was no crack opening for a pure shear crack. Using the asymptotic method developed by Knowles (1981) which included the effect of geometric nonlinearity, we show that there is indeed finite crack opening even for a pure shear crack when the crack propagates at a sub-Rayleigh wave speed, but the crack opening vanishes when the crack propagates at an intersonic velocity which is above the shear wave speed and below the dilatational wave speed. Our results are consistent with what were observed in MD simulations.","abstract_html":"Molecular Dynamics (MD) simulations of shear-dominated crack propagation by Abraham and Gao (2000) showed that there was finite crack opening when the crack propagated at a sub-Rayleigh speed while the crack opening became negligible when the crack propagated faster than the shear wave speed. On the other hand, the classical linear dynamics theory predicted that there was no crack opening for a pure shear crack. Using the asymptotic method developed by Knowles (1981) which included the effect of geometric nonlinearity, we show that there is indeed finite crack opening even for a pure shear crack when the crack propagates at a sub-Rayleigh wave speed, but the crack opening vanishes when the crack propagates at an intersonic velocity which is above the shear wave speed and below the dilatational wave speed. Our results are consistent with what were observed in MD simulations.","abstract_has_math":false,"creators":["Chen, Bin"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Huang, Yonggang"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T21:12:08Z","date_published":"2015-09-25T21:12:08Z","updated_at":"2026-07-22T22:26:21Z","subjects":["Applied Mechanics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3101815"],"render_values":[{"text":"(MiAaPQ)AAI3101815","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/83795","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Huang, Yonggang"]},{"key":"dc:creator","label":"Author","values":["Chen, Bin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T21:12:08Z","10000-01-01","2003"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"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":["Applied Mechanics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/83795","(MiAaPQ)AAI3101815"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Molecular Dynamics (MD) simulations of shear-dominated crack propagation by Abraham and Gao (2000) showed that there was finite crack opening when the crack propagated at a sub-Rayleigh speed while the crack opening became negligible when the crack propagated faster than the shear wave speed. On the other hand, the classical linear dynamics theory predicted that there was no crack opening for a pure shear crack. Using the asymptotic method developed by Knowles (1981) which included the effect of geometric nonlinearity, we show that there is indeed finite crack opening even for a pure shear crack when the crack propagates at a sub-Rayleigh wave speed, but the crack opening vanishes when the crack propagates at an intersonic velocity which is above the shear wave speed and below the dilatational wave speed. Our results are consistent with what were observed in MD simulations.","Made available in DSpace on 2015-09-25T21:12:08Z (GMT). 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On the other hand, the classical linear dynamics theory predicted that there was no crack opening for a pure shear crack. Using the asymptotic method developed by Knowles (1981) which included the effect of geometric nonlinearity, we show that there is indeed finite crack opening even for a pure shear crack when the crack propagates at a sub-Rayleigh wave speed, but the crack opening vanishes when the crack propagates at an intersonic velocity which is above the shear wave speed and below the dilatational wave speed. Our results are consistent with what were observed in MD simulations.","Made available in DSpace on 2015-09-25T21:12:08Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3101815.pdf: 2153392 bytes, checksum: 94ec14e57a72c0aa26206b929030ed0d (MD5) Previous issue date: 2003","Embargo set by: Seth Robbins for item 85076 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","47 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003."],"dc:identifier":["http://hdl.handle.net/2142/83795","(MiAaPQ)AAI3101815"],"dc:language":["eng"],"dc:subject":["Applied Mechanics"],"dc:title":["Finite Opening of Propagating Shear Cracks"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:21Z"}