{"id":{"repo_id":"cornell","oai_identifier":"oai:ecommons.cornell.edu:1813/70323"},"canonical_url":"https://search.dev.ndltd.org/etd/cornell/oai:ecommons.cornell.edu:1813/70323","repository":{"repo_id":"cornell","name":"Cornell University","base_url":"https://ecommons.cornell.edu/server/oai/request"},"display":{"title":"ULTRA-HIGH STRAIN RATE CONSTITUTIVE MODELING OF PURE TITANIUM USING PARTICLE IMPACT TEST","abstract":"With the advent of advanced testing strategies like laser-induced particle impact test, it is possible to study materials mechanics under extremely high deformation rates, i.e., above 10^6 s^-1, a relatively less explored regime of strain rates. In this study, we accelerate microparticles of commercially pure titanium to ~100 m/s towards a rigid substrate and record their deformation upon impact in real time. We also conduct finite element modeling of the experimentally recorded impacts using two constitutive equations: Johnson-Cook and Zerilli-Armstrong. We show that titanium microparticles experience strain rates in the range of 10^6-10^10 s^-1 upon impact. We evaluate the capability of the Johnson-Cook and Zerilli-Armstrong equations in predicting material response at ultra-high strain rates. With an optimization-based constitutive modeling approach, we also propose updated strain rate-related constitutive parameters for both equations that can improve the extent to which they can successfully describe the deformation of materials at higher strain rates.","abstract_html":"With the advent of advanced testing strategies like laser-induced particle impact test, it is possible to study materials mechanics under extremely high deformation rates, i.e., above 10^6 s^-1, a relatively less explored regime of strain rates. In this study, we accelerate microparticles of commercially pure titanium to ~100 m/s towards a rigid substrate and record their deformation upon impact in real time. We also conduct finite element modeling of the experimentally recorded impacts using two constitutive equations: Johnson-Cook and Zerilli-Armstrong. We show that titanium microparticles experience strain rates in the range of 10^6-10^10 s^-1 upon impact. We evaluate the capability of the Johnson-Cook and Zerilli-Armstrong equations in predicting material response at ultra-high strain rates. With an optimization-based constitutive modeling approach, we also propose updated strain rate-related constitutive parameters for both equations that can improve the extent to which they can successfully describe the deformation of materials at higher strain rates.","abstract_has_math":false,"creators":["Wang, Xuchen"],"institution":"Cornell University","degree_name":"M.S., Mechanical Engineering","degree_level":"Master of Science","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":["Zehnder, Alan"],"year":2020,"date_issued":"2020-05","date_published":"2020-05","updated_at":"2026-07-24T01:49:10Z","subjects":["Constitutive Modeling","Impact","Johnson-Cook","Titanium","Ultra-High Strain Rate","Zerilli-Armstrong"],"languages":["en"],"rights":["Attribution 4.0 International"],"rights_urls":["https://creativecommons.org/licenses/by/4.0/"],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.7298/0nsp-3e86"],"render_values":[{"text":"https://doi.org/10.7298/0nsp-3e86","href":"https://doi.org/10.7298/0nsp-3e86","code":true}]},{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["ProQuest Submission ID: 10914","ProQuest Publication ID: 27994415"],"render_values":[{"text":"ProQuest Submission ID: 10914","href":null,"code":true},{"text":"ProQuest Publication ID: 27994415","href":null,"code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/1813/70323","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Zehnder, Alan"]},{"key":"dc:creator","label":"Author","values":["Wang, Xuchen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2020-08-10T20:08:05Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2020-08-10T20:08:05Z"]},{"key":"dc:date.issued","label":"Date","values":["2020-05"]},{"key":"dc:type","label":"Dc Type","values":["dissertation or thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Master of Science"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S., Mechanical Engineering"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Cornell University"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Constitutive Modeling","Impact","Johnson-Cook","Titanium","Ultra-High Strain Rate","Zerilli-Armstrong"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Attribution 4.0 International"]},{"key":"dc:rights.uri","label":"Rights URI","values":["https://creativecommons.org/licenses/by/4.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.7298/0nsp-3e86"]},{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["ProQuest Submission ID: 10914","ProQuest Publication ID: 27994415"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1813/70323"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["41 pages"]},{"key":"dc:description.abstract","label":"Abstract","values":["With the advent of advanced testing strategies like laser-induced particle impact test, it is possible to study materials mechanics under extremely high deformation rates, i.e., above 10^6 s^-1, a relatively less explored regime of strain rates. In this study, we accelerate microparticles of commercially pure titanium to ~100 m/s towards a rigid substrate and record their deformation upon impact in real time. We also conduct finite element modeling of the experimentally recorded impacts using two constitutive equations: Johnson-Cook and Zerilli-Armstrong. We show that titanium microparticles experience strain rates in the range of 10^6-10^10 s^-1 upon impact. We evaluate the capability of the Johnson-Cook and Zerilli-Armstrong equations in predicting material response at ultra-high strain rates. With an optimization-based constitutive modeling approach, we also propose updated strain rate-related constitutive parameters for both equations that can improve the extent to which they can successfully describe the deformation of materials at higher strain rates."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["ULTRA-HIGH STRAIN RATE CONSTITUTIVE MODELING OF PURE TITANIUM USING PARTICLE IMPACT TEST"]}]}],"canonical_facts":{"dc:contributor.committeemember":["Zehnder, Alan"],"dc:creator":["Wang, Xuchen"],"dc:date.accessioned":["2020-08-10T20:08:05Z"],"dc:date.available":["2020-08-10T20:08:05Z"],"dc:date.issued":["2020-05"],"dc:description":["41 pages"],"dc:description.abstract":["With the advent of advanced testing strategies like laser-induced particle impact test, it is possible to study materials mechanics under extremely high deformation rates, i.e., above 10^6 s^-1, a relatively less explored regime of strain rates. In this study, we accelerate microparticles of commercially pure titanium to ~100 m/s towards a rigid substrate and record their deformation upon impact in real time. We also conduct finite element modeling of the experimentally recorded impacts using two constitutive equations: Johnson-Cook and Zerilli-Armstrong. We show that titanium microparticles experience strain rates in the range of 10^6-10^10 s^-1 upon impact. We evaluate the capability of the Johnson-Cook and Zerilli-Armstrong equations in predicting material response at ultra-high strain rates. With an optimization-based constitutive modeling approach, we also propose updated strain rate-related constitutive parameters for both equations that can improve the extent to which they can successfully describe the deformation of materials at higher strain rates."],"dc:format.mimetype":["application/pdf"],"dc:identifier.doi":["https://doi.org/10.7298/0nsp-3e86"],"dc:identifier.other":["ProQuest Submission ID: 10914","ProQuest Publication ID: 27994415"],"dc:identifier.uri":["https://hdl.handle.net/1813/70323"],"dc:language.iso":["en"],"dc:rights":["Attribution 4.0 International"],"dc:rights.uri":["https://creativecommons.org/licenses/by/4.0/"],"dc:subject":["Constitutive Modeling","Impact","Johnson-Cook","Titanium","Ultra-High Strain Rate","Zerilli-Armstrong"],"dc:title":["ULTRA-HIGH STRAIN RATE CONSTITUTIVE MODELING OF PURE TITANIUM USING PARTICLE IMPACT TEST"],"dc:type":["dissertation or thesis"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Master of Science"],"thesis:degree_name":["M.S., Mechanical Engineering"],"thesis:institution_name":["Cornell University"]},"updated_at":"2026-07-24T01:49:10Z"}