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Geometric Control of Fracture and Topological Metamaterials

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Geometric Control of Fracture and Topological Metamaterials/ by Noah Mitchell.
Author:	Mitchell, Noah.
Description:	XIX, 121 p. 49 illus., 48 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Solid state physics. -
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. - 1st ed. 2020. - XIX, 121 p. 49 illus., 48 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

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:

641431
Solid state physics.

LC Class. No.: QC176-176.9

Dewey Class. No.: 530.41

Geometric Control of Fracture and Topological Metamaterials
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