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Springer Theses

Geometric Control of Fracture and Topological Metamaterials

Authors: Mitchell, Noah

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  • Nominated as an outstanding PhD thesis by the University of Chicago
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  • Introduces geometric notions of curvature and relates them to mechanics
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  • Explores mechanics of thin sheets draped onto surfaces with Gaussian curvature
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  • Elucidates the topological aspects of elastic waves in 2D metamaterials
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eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-030-36361-1
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-36360-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

Noah Mitchell is a postdoctoral fellow at the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara. He received his PhD from the University of Chicago in 2018.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-030-36361-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-36360-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Control of Fracture and Topological Metamaterials
Authors
Series Title
Springer Theses
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-36361-1
DOI
10.1007/978-3-030-36361-1
Hardcover ISBN
978-3-030-36360-4
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIX, 121
Number of Illustrations
1 b/w illustrations, 48 illustrations in colour
Topics