Geometric Control of Fracture and Topological Metamaterials
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Beschreibung
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.
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.
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
Autor*in
Noah Mitchell
Themen in »Geometric Control of Fracture and Topological Metamaterials«
gyroscopic metamaterials topological order in amorphous materials crack kinking Berry curvature topological mechanics Gaussian curvature of metamaterials elastic quasi-2D materials crack propagation