2026-09-20T12:12:20Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1115332026-06-06T00:54:30Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Tal Cohen.
Wittels, Kelsey Lynn
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering.
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
2017-09-15T15:38:22Z
2017-09-15T15:38:22Z
2017
2017
http://hdl.handle.net/1721.1/111533
1003324543
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).
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.
by Kelsey Lynn Wittels.
M.Eng.
36 pages
eng
Massachusetts Institute of Technology
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.
http://dspace.mit.edu/handle/1721.1/7582
Civil and Environmental Engineering.
Influence of extreme velocities on dynamic cavity expansion
Thesis
application/pdf
false
Publication
unknown
unknown
<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="64209313-ca15-413c-8a3d-9066aff8cb23">
<Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type>
<Language>eng</Language>
<Title>Influence of extreme velocities on dynamic cavity expansion</Title>
<PublishedIn>
<Publication>
</Publication>
</PublishedIn>
<PublicationDate>2017</PublicationDate>
<Authors>
<Author>
<DisplayName>Wittels, Kelsey Lynn</DisplayName>
<Affiliation>
<OrgUnit>
</OrgUnit>
</Affiliation>
</Author>
</Authors>
<Editors>
</Editors>
<Publishers>
<Publisher>
<DisplayName>Massachusetts Institute of Technology</DisplayName>
<OrgUnit />
</Publisher>
</Publishers>
<License>http://dspace.mit.edu/handle/1721.1/7582</License>
<Keyword>Civil and Environmental Engineering.</Keyword>
<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>
<Access xmlns="http://purl.org/coar/access_right"
>
</Access>
</Publication>