03763nam 22006375 450 99641843590331620200705190102.03-030-36361-910.1007/978-3-030-36361-1(CKB)4940000000159047(DE-He213)978-3-030-36361-1(MiAaPQ)EBC6005115(PPN)242842844(EXLCZ)99494000000015904720200102d2020 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierGeometric Control of Fracture and Topological Metamaterials[electronic resource] /by Noah Mitchell1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XIX, 121 p. 49 illus., 48 illus. in color.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-50533-030-36360-0 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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Solid state physicsOptical materialsElectronic materialsPhysicsPhase transitions (Statistical physics)Solid State Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P25013Optical and Electronic Materialshttps://scigraph.springernature.com/ontologies/product-market-codes/Z12000Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Phase Transitions and Multiphase Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P25099Solid state physics.Optical materials.Electronic materials.Physics.Phase transitions (Statistical physics).Solid State Physics.Optical and Electronic Materials.Mathematical Methods in Physics.Phase Transitions and Multiphase Systems.620.11Mitchell Noahauthttp://id.loc.gov/vocabulary/relators/aut842277MiAaPQMiAaPQMiAaPQBOOK996418435903316Geometric Control of Fracture and Topological Metamaterials1879830UNISA