{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/74584"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/74584","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"A study of biaxial viscoelastic behavior","abstract":"An experimental study is made to investigate the feasibility of determining a viscoelastic stress-strain law for two (or three) dimensional stress conditions by means of one dimensional tests. The conclusions are based upon comparison of theory and experiment for a creep test of a lead plate, subjected to biaxial tension. The stress-strain law that was selected is given by S<sub>ij</sub> = B σ²/σt² e<sub>ij</sub> + c σ/σt e<sub>ij</sub> to cover ehear effects and by σ<sub>ii</sub> = κε<sub>ii</sub> for hydrostatic tension or compression. S<sub>ij</sub> and e<sub>ij</sub> are respectively the stress deviator and σ<sub>ii</sub> and ε<sub>ii</sub> are the stress and strain tensors. Uniaxial test data was used to evaluate the constants in the above laws. The Lapplace transform technique was used to obtain the analytical solution for the strain in the plate as a function of time. Agreement between theory and experiment or the duration of the test, 1200 minutes, was quite good.","abstract_html":"An experimental study is made to investigate the feasibility of determining a viscoelastic stress-strain law for two (or three) dimensional stress conditions by means of one dimensional tests. The conclusions are based upon comparison of theory and experiment for a creep test of a lead plate, subjected to biaxial tension. The stress-strain law that was selected is given by S&lt;sub&gt;ij&lt;/sub&gt; = B σ²/σt² e&lt;sub&gt;ij&lt;/sub&gt; + c σ/σt e&lt;sub&gt;ij&lt;/sub&gt; to cover ehear effects and by σ&lt;sub&gt;ii&lt;/sub&gt; = κε&lt;sub&gt;ii&lt;/sub&gt; for hydrostatic tension or compression. S&lt;sub&gt;ij&lt;/sub&gt; and e&lt;sub&gt;ij&lt;/sub&gt; are respectively the stress deviator and σ&lt;sub&gt;ii&lt;/sub&gt; and ε&lt;sub&gt;ii&lt;/sub&gt; are the stress and strain tensors. Uniaxial test data was used to evaluate the constants in the above laws. The Lapplace transform technique was used to obtain the analytical solution for the strain in the plate as a function of time. Agreement between theory and experiment or the duration of the test, 1200 minutes, was quite good.","abstract_has_math":false,"creators":["Tolefson, Donald Craig"],"institution":"Virginia Polytechnic Institute","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Engineering Mechanics","degree_department":"Engineering Mechanics","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1964,"date_issued":"1964","date_published":"1964","updated_at":"2026-07-22T22:20:16Z","subjects":[],"languages":["en_US"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/74584","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Engineering Mechanics"]},{"key":"dc:creator","label":"Author","values":["Tolefson, Donald Craig"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-01-30T21:03:14Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-01-30T21:03:14Z"]},{"key":"dc:date.issued","label":"Date","values":["1964"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Engineering Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/74584"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["An experimental study is made to investigate the feasibility of determining a viscoelastic stress-strain law for two (or three) dimensional stress conditions by means of one dimensional tests. The conclusions are based upon comparison of theory and experiment for a creep test of a lead plate, subjected to biaxial tension. The stress-strain law that was selected is given by S<sub>ij</sub> = B σ²/σt² e<sub>ij</sub> + c σ/σt e<sub>ij</sub> to cover ehear effects and by σ<sub>ii</sub> = κε<sub>ii</sub> for hydrostatic tension or compression. S<sub>ij</sub> and e<sub>ij</sub> are respectively the stress deviator and σ<sub>ii</sub> and ε<sub>ii</sub> are the stress and strain tensors. Uniaxial test data was used to evaluate the constants in the above laws. The Lapplace transform technique was used to obtain the analytical solution for the strain in the plate as a function of time. Agreement between theory and experiment or the duration of the test, 1200 minutes, was quite good."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["A study of biaxial viscoelastic behavior"]}]}],"canonical_facts":{"dc:contributor.department":["Engineering Mechanics"],"dc:creator":["Tolefson, Donald Craig"],"dc:date.accessioned":["2017-01-30T21:03:14Z"],"dc:date.available":["2017-01-30T21:03:14Z"],"dc:date.issued":["1964"],"dc:description.abstract":["An experimental study is made to investigate the feasibility of determining a viscoelastic stress-strain law for two (or three) dimensional stress conditions by means of one dimensional tests. The conclusions are based upon comparison of theory and experiment for a creep test of a lead plate, subjected to biaxial tension. The stress-strain law that was selected is given by S<sub>ij</sub> = B σ²/σt² e<sub>ij</sub> + c σ/σt e<sub>ij</sub> to cover ehear effects and by σ<sub>ii</sub> = κε<sub>ii</sub> for hydrostatic tension or compression. S<sub>ij</sub> and e<sub>ij</sub> are respectively the stress deviator and σ<sub>ii</sub> and ε<sub>ii</sub> are the stress and strain tensors. Uniaxial test data was used to evaluate the constants in the above laws. The Lapplace transform technique was used to obtain the analytical solution for the strain in the plate as a function of time. Agreement between theory and experiment or the duration of the test, 1200 minutes, was quite good."],"dc:description.degree":["Master of Science"],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/74584"],"dc:language.iso":["en_US"],"dc:publisher":["Virginia Polytechnic Institute"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["A study of biaxial viscoelastic behavior"],"dc:type":["Thesis"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Engineering Mechanics"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Virginia Polytechnic Institute"]},"updated_at":"2026-07-22T22:20:16Z"}