{"id":{"repo_id":"missouri","oai_identifier":"oai:mospace.umsystem.edu:10355/108964"},"canonical_url":"https://search.dev.ndltd.org/etd/missouri/oai:mospace.umsystem.edu:10355/108964","repository":{"repo_id":"missouri","name":"University of Missouri","base_url":"https://mospace.umsystem.edu/oai/request"},"display":{"title":"Finite element analysis of periodic shells and origami tessellations","abstract":"A numerical solver was designed to determine the effective material properties of smooth and rigid crease origamis. The solver was created using Ansys APDL and Workbench and utilized periodic boundary conditions for efficient unit cell-based simulations. Three origami tessellations were simulated by the solver: the Smooth \"Eggbox, Rigid \"Eggbox\", and \"Cosine Zigzag\" patterns. The solver calculated in-plane and out-of-plane Poisson's ratios for each tessellation, matching up with previously observed or theoretical values with a low relative error. Cavities were imposed onto the three tessellation patterns to investigate the effect it had on the resulting material properties. The Cosine \"Eggbox\" pattern was found to maintain Poisson's ratio after introduction of cavities. The Rigid \"Eggbox\" pattern maintained its in-plane Poisson's, but further analysis of the out-of- plane properties is needed. The \"Cosine Zigzag\" pattern did not demonstrate any similarity in material properties before and after introducing cavities. The study highlights the need for further investigation in this subject as well as the effectiveness of the numerical solver.","abstract_html":"A numerical solver was designed to determine the effective material properties of smooth and rigid crease origamis. The solver was created using Ansys APDL and Workbench and utilized periodic boundary conditions for efficient unit cell-based simulations. Three origami tessellations were simulated by the solver: the Smooth "Eggbox, Rigid "Eggbox", and "Cosine Zigzag" patterns. The solver calculated in-plane and out-of-plane Poisson's ratios for each tessellation, matching up with previously observed or theoretical values with a low relative error. Cavities were imposed onto the three tessellation patterns to investigate the effect it had on the resulting material properties. The Cosine "Eggbox" pattern was found to maintain Poisson's ratio after introduction of cavities. The Rigid "Eggbox" pattern maintained its in-plane Poisson's, but further analysis of the out-of- plane properties is needed. The "Cosine Zigzag" pattern did not demonstrate any similarity in material properties before and after introducing cavities. The study highlights the need for further investigation in this subject as well as the effectiveness of the numerical solver.","abstract_has_math":false,"creators":["Weber, Andrew"],"institution":"University of Missouri--Columbia","degree_name":"M.S.","degree_level":"Masters","degree_discipline":"Mechanical and Aerospace Engineering (MU)","degree_department":null,"school":null,"contributors":[],"advisors":["Nassar, Hussein"],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024","date_published":"2024","updated_at":"2026-07-24T03:07:35Z","subjects":[],"languages":["eng","English"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.32469/10355/108964"],"render_values":[{"text":"https://doi.org/10.32469/10355/108964","href":"https://doi.org/10.32469/10355/108964","code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/10355/108964","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Nassar, Hussein"]},{"key":"dc:creator","label":"Author","values":["Weber, Andrew"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2025-07-07T14:25:54Z"]},{"key":"dc:date.issued","label":"Date","values":["2024"]},{"key":"dc:publisher","label":"Institution","values":["University of Missouri--Columbia"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical and Aerospace Engineering (MU)"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri--Columbia"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.32469/10355/108964"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/10355/108964"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A numerical solver was designed to determine the effective material properties of smooth and rigid crease origamis. The solver was created using Ansys APDL and Workbench and utilized periodic boundary conditions for efficient unit cell-based simulations. Three origami tessellations were simulated by the solver: the Smooth \"Eggbox, Rigid \"Eggbox\", and \"Cosine Zigzag\" patterns. The solver calculated in-plane and out-of-plane Poisson's ratios for each tessellation, matching up with previously observed or theoretical values with a low relative error. Cavities were imposed onto the three tessellation patterns to investigate the effect it had on the resulting material properties. The Cosine \"Eggbox\" pattern was found to maintain Poisson's ratio after introduction of cavities. The Rigid \"Eggbox\" pattern maintained its in-plane Poisson's, but further analysis of the out-of- plane properties is needed. The \"Cosine Zigzag\" pattern did not demonstrate any similarity in material properties before and after introducing cavities. The study highlights the need for further investigation in this subject as well as the effectiveness of the numerical solver."]},{"key":"dc:title","label":"Title","values":["Finite element analysis of periodic shells and origami tessellations"]}]}],"canonical_facts":{"dc:contributor.advisor":["Nassar, Hussein"],"dc:creator":["Weber, Andrew"],"dc:date.accessioned":["2025-07-07T14:25:54Z"],"dc:date.issued":["2024"],"dc:description.abstract":["A numerical solver was designed to determine the effective material properties of smooth and rigid crease origamis. The solver was created using Ansys APDL and Workbench and utilized periodic boundary conditions for efficient unit cell-based simulations. Three origami tessellations were simulated by the solver: the Smooth \"Eggbox, Rigid \"Eggbox\", and \"Cosine Zigzag\" patterns. The solver calculated in-plane and out-of-plane Poisson's ratios for each tessellation, matching up with previously observed or theoretical values with a low relative error. Cavities were imposed onto the three tessellation patterns to investigate the effect it had on the resulting material properties. The Cosine \"Eggbox\" pattern was found to maintain Poisson's ratio after introduction of cavities. The Rigid \"Eggbox\" pattern maintained its in-plane Poisson's, but further analysis of the out-of- plane properties is needed. The \"Cosine Zigzag\" pattern did not demonstrate any similarity in material properties before and after introducing cavities. The study highlights the need for further investigation in this subject as well as the effectiveness of the numerical solver."],"dc:identifier.doi":["https://doi.org/10.32469/10355/108964"],"dc:identifier.uri":["https://hdl.handle.net/10355/108964"],"dc:language":["English"],"dc:language.iso":["eng"],"dc:publisher":["University of Missouri--Columbia"],"dc:title":["Finite element analysis of periodic shells and origami tessellations"],"dc:type":["Thesis"],"thesis:degree_discipline":["Mechanical and Aerospace Engineering (MU)"],"thesis:degree_level":["Masters"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Missouri--Columbia"]},"updated_at":"2026-07-24T03:07:35Z"}