1.

Record Nr.

UNINA9910373947803321

Autore

Mitchell Noah

Titolo

Geometric Control of Fracture and Topological Metamaterials / / by Noah Mitchell

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-36361-9

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (XIX, 121 p. 49 illus., 48 illus. in color.)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5061

Disciplina

620.11

620.1126

Soggetti

Condensed matter

Optical materials

Mathematical physics

Condensed Matter Physics

Optical Materials

Mathematical Methods in Physics

Phase Transitions and Multiphase Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.