Impact of microstructural parameters on topology optimization of structures made of composites with elliptical inclusions

This thesis seeks to determine the relationship between the parameters that define microstructures composed of a matrix with periodic elliptical inclusions and the macroscopic shapes obtained using structural topology optimization. Stiffness properties for a range of microstructures were obtained computationally through homogenization, and these properties were used to conduct topology optimization on two canonical structural problems. Effectiveness was evaluated on the basis of final total strain energy when compared to a reference configuration. Local minima were found for the two structural problems and various microstructure configurations, indicating that the microstructure of composites with elliptical inclusions can be fine-tuned for topology optimization. For example, when making a cantilever beam from a material with soft, horizontal inclusions, ensuring that the aspect ratio of the inclusions is 2.25 will yield the best result after topology optimization is applied. Optimality criteria such as this have important implications in composite component design.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Theoretical & Applied Mechans

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2018

Author dc:creator

• Kozuch, Christopher

Contributors dc:contributor

• Jasiuk, Iwona M.

• elliptical
• inclusion
• topology
• optimization
• composite

Statement dc:rights

• Copyright 2018 Christopher Kozuch

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/101381

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/101381