Finite element analysis of periodic shells and origami tessellations

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Mechanical and Aerospace Engineering (MU)

Grantor dc:publisher

University of Missouri--Columbia

Year dc:date.issued

2024

Author dc:creator

• Weber, Andrew

Advisor dc:contributor.advisor

• Nassar, Hussein

Language dc:language.iso

eng, English

DOI

https://doi.org/10.32469/10355/108964

OAI identifier oai:identifier

oai:mospace.umsystem.edu:10355/108964