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Author ORCID Identifier
https://orcid.org/0000-0003-2829-6272
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Polymer Science and Engineering
Year Degree Awarded
2023
Month Degree Awarded
February
First Advisor
Gregory M. Grason
Second Advisor
Ryan C. Hayward
Third Advisor
Christian D. Santangelo
Subject Categories
Condensed Matter Physics
Abstract
Geometrically frustrated assembly, where locally preferred motifs are incompatible with constraints on global ordering of the assembly, may result in a super-extensive energy penalty to assembly growth and self-limitation of the assembly size. Using theory and simulation, we study how this mechanism may also shape the assembly's boundary and its interior packing, which are distinct morphological changes. In Chapter 1, we provide some background and a theoretical framework for understanding self-limiting behavior due to geometric frustration. Three distinct projects are detailed in the subsequent chapters: original numerical results are presented on competing responses to frustration in helical bundles made of chiral filaments in Chapter 2, a novel tilt-curvature coupling and its consequences in microphase separated chiral rod membranes are illustrated by both numerical and theoretical results in Chapter 3, and a new particle model for simulation of saddle-wedge membrane assemblies with new theoretical advancement of a continuum model and new numerical results are presented in Chapter 4. In Chapter 5, we conclude by considering lessons from this work for future engineering of self-limiting materials.
DOI
https://doi.org/10.7275/32097105
Recommended Citation
Hall, Douglas M., "Self-Limiting Morphologies in Geometrically Frustrated Assemblies" (2023). Doctoral Dissertations. 2750.
https://doi.org/10.7275/32097105
https://scholarworks.umass.edu/dissertations_2/2750
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.