Overview
- Nominated as an outstanding PhD thesis by the University of Chicago
- Introduces geometric notions of curvature and relates them to mechanics
- Explores mechanics of thin sheets draped onto surfaces with Gaussian curvature
- Elucidates the topological aspects of elastic waves in 2D metamaterials
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (7 chapters)
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Front Matter
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Gaussian Curvature as a Guide for Material Failure
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Front Matter
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Topological Mechanics in Gyroscopic Metamaterials
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Front Matter
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Back Matter
Keywords
About this book
This thesis reports a rare combination of experiment and theory on the role of geometry in materials science. It is built on two significant findings: that curvature can be used to guide crack paths in a predictive way, and that protected topological order can exist in amorphous materials. In each, the underlying geometry controls the elastic behavior of quasi-2D materials, enabling the control of crack propagation in elastic sheets and the control of unidirectional waves traveling at the boundary of metamaterials. The thesis examines the consequences of this geometric control in a range of materials spanning many orders of magnitude in length scale, from amorphous macroscopic networks and elastic continua to nanoscale lattices.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Geometric Control of Fracture and Topological Metamaterials
Authors: Noah Mitchell
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-36361-1
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-36360-4Published: 03 January 2020
Softcover ISBN: 978-3-030-36363-5Published: 03 January 2021
eBook ISBN: 978-3-030-36361-1Published: 02 January 2020
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIX, 121
Number of Illustrations: 1 b/w illustrations, 48 illustrations in colour
Topics: Solid State Physics, Optical and Electronic Materials, Mathematical Methods in Physics, Phase Transitions and Multiphase Systems