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Geometric control of fracture and to...

Mitchell, Noah.

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Geometric control of fracture and topological metamaterials

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric control of fracture and topological metamaterials/ by Noah Mitchell.
Author:	Mitchell, Noah.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xix, 121 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter1: Introduction -- PartI: Gaussian Curvature as a Guide for Material Failure -- Chapter2: Fracture in sheets draped on curved surfaces -- Chapter3: Conforming nanoparticle sheets to surfaces with gaussian curvature -- PartII: Topological mechanics in gyroscopic metamaterials -- Chapter4: Realization of a topological phase transition in a gyroscopic lattice -- Chapter5: Tunable band topology in gyroscopic lattices -- Chapter6: Topological insulators constructed from random point sets -- Chapter7: Conclusions and outlook.
Contained By:	Springer eBooks
Subject:	Metamaterials - Fracture -
Online resource:	https://doi.org/10.1007/978-3-030-36361-1
ISBN:	9783030363611

Geometric control of fracture and topological metamaterials
Mitchell, Noah.

Geometric control of fracture and topological metamaterials[electronic resource] /by Noah Mitchell. - Cham :Springer International Publishing :2020. - xix, 121 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Chapter1: Introduction -- PartI: Gaussian Curvature as a Guide for Material Failure -- Chapter2: Fracture in sheets draped on curved surfaces -- Chapter3: Conforming nanoparticle sheets to surfaces with gaussian curvature -- PartII: Topological mechanics in gyroscopic metamaterials -- Chapter4: Realization of a topological phase transition in a gyroscopic lattice -- Chapter5: Tunable band topology in gyroscopic lattices -- Chapter6: Topological insulators constructed from random point sets -- Chapter7: Conclusions and outlook.

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.

ISBN: 9783030363611

Standard No.: 10.1007/978-3-030-36361-1doiSubjects--Topical Terms:

3446583
Metamaterials
--Fracture

LC Class. No.: TK7871.15.M48 / M583 2020

Dewey Class. No.: 620.1126

Geometric control of fracture and topological metamaterials
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300 $a xix, 121 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5053
505 0 $a Chapter1: Introduction -- PartI: Gaussian Curvature as a Guide for Material Failure -- Chapter2: Fracture in sheets draped on curved surfaces -- Chapter3: Conforming nanoparticle sheets to surfaces with gaussian curvature -- PartII: Topological mechanics in gyroscopic metamaterials -- Chapter4: Realization of a topological phase transition in a gyroscopic lattice -- Chapter5: Tunable band topology in gyroscopic lattices -- Chapter6: Topological insulators constructed from random point sets -- Chapter7: Conclusions and outlook.
520 $a 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.
650 0 $a Metamaterials $x Fracture $x Mathematics. $3 3446583
650 1 4 $a Solid State Physics. $3 1066374
650 2 4 $a Optical and Electronic Materials. $3 891120
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Phase Transitions and Multiphase Systems. $3 1066389
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950 $a Physics and Astronomy (Springer-11651)