{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/111533"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/111533","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Influence of extreme velocities on dynamic cavity expansion","abstract":"Cavitation can broadly be described as the unstable expansion of an empty void in a body, usually occurring when loads on the body reach a critical level. In this thesis, dynamic cavity expansion (DCE) in solids is of particular interest. Cavity expansion has been studied extensively under quasi-static and dynamic loading conditions. However, the behavior of cavitation fields with extreme dynamic expansion velocities have little been studied, especially in materials without a definite yield point. In this thesis, DCE in a hardening elastoplastic medium is considered under extreme velocities. Two nonlinear differential equations are used to describe the steady-state expansion. Using numerical integration, this system is solved to explore the behavior under extreme expansion velocities. By gradually increasing the expansion velocities, we find that a singularity occurs in the governing system, indicating a shock wave emerging and propagating through the material. With this limit velocity of the material known, further characteristics of the material can be described and investigated.","abstract_html":"Cavitation can broadly be described as the unstable expansion of an empty void in a body, usually occurring when loads on the body reach a critical level. In this thesis, dynamic cavity expansion (DCE) in solids is of particular interest. Cavity expansion has been studied extensively under quasi-static and dynamic loading conditions. However, the behavior of cavitation fields with extreme dynamic expansion velocities have little been studied, especially in materials without a definite yield point. In this thesis, DCE in a hardening elastoplastic medium is considered under extreme velocities. Two nonlinear differential equations are used to describe the steady-state expansion. Using numerical integration, this system is solved to explore the behavior under extreme expansion velocities. By gradually increasing the expansion velocities, we find that a singularity occurs in the governing system, indicating a shock wave emerging and propagating through the material. With this limit velocity of the material known, further characteristics of the material can be described and investigated.","abstract_has_math":false,"creators":["Wittels, Kelsey Lynn"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Civil and Environmental Engineering.","school":null,"contributors":[],"advisors":["Tal Cohen."],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017","date_published":"2017","updated_at":"2026-07-22T22:21:26Z","subjects":["Civil and Environmental Engineering."],"languages":["eng"],"rights":["MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/111533","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Tal Cohen."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Department of Civil and Environmental Engineering."]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. 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They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/111533"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2017.","Cataloged from PDF version of thesis.","Includes bibliographical references (pages 35-36)."]},{"key":"dc:description.abstract","label":"Abstract","values":["Cavitation can broadly be described as the unstable expansion of an empty void in a body, usually occurring when loads on the body reach a critical level. In this thesis, dynamic cavity expansion (DCE) in solids is of particular interest. Cavity expansion has been studied extensively under quasi-static and dynamic loading conditions. However, the behavior of cavitation fields with extreme dynamic expansion velocities have little been studied, especially in materials without a definite yield point. In this thesis, DCE in a hardening elastoplastic medium is considered under extreme velocities. Two nonlinear differential equations are used to describe the steady-state expansion. Using numerical integration, this system is solved to explore the behavior under extreme expansion velocities. By gradually increasing the expansion velocities, we find that a singularity occurs in the governing system, indicating a shock wave emerging and propagating through the material. With this limit velocity of the material known, further characteristics of the material can be described and investigated."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M. Eng."]},{"key":"dc:title","label":"Title","values":["Influence of extreme velocities on dynamic cavity expansion"]}]}],"canonical_facts":{"dc:contributor.advisor":["Tal Cohen."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Civil and Environmental Engineering."],"dc:contributor.other":["Massachusetts Institute of Technology. Department of Civil and Environmental Engineering."],"dc:creator":["Wittels, Kelsey Lynn"],"dc:date.accessioned":["2017-09-15T15:38:22Z"],"dc:date.available":["2017-09-15T15:38:22Z"],"dc:date.issued":["2017"],"dc:description":["Thesis: M. Eng., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2017.","Cataloged from PDF version of thesis.","Includes bibliographical references (pages 35-36)."],"dc:description.abstract":["Cavitation can broadly be described as the unstable expansion of an empty void in a body, usually occurring when loads on the body reach a critical level. In this thesis, dynamic cavity expansion (DCE) in solids is of particular interest. Cavity expansion has been studied extensively under quasi-static and dynamic loading conditions. However, the behavior of cavitation fields with extreme dynamic expansion velocities have little been studied, especially in materials without a definite yield point. In this thesis, DCE in a hardening elastoplastic medium is considered under extreme velocities. Two nonlinear differential equations are used to describe the steady-state expansion. Using numerical integration, this system is solved to explore the behavior under extreme expansion velocities. By gradually increasing the expansion velocities, we find that a singularity occurs in the governing system, indicating a shock wave emerging and propagating through the material. With this limit velocity of the material known, further characteristics of the material can be described and investigated."],"dc:description.degree":["M. Eng."],"dc:identifier.uri":["http://hdl.handle.net/1721.1/111533"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Civil and Environmental Engineering."],"dc:title":["Influence of extreme velocities on dynamic cavity expansion"],"dc:type":["Thesis"]},"updated_at":"2026-07-22T22:21:26Z"}