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Titlebook: Geometric Control of Fracture and Topological Metamaterials; Noah Mitchell Book 2020 Springer Nature Switzerland AG 2020 gyroscopic metama

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发表于 2025-3-21 16:32:40 | 显示全部楼层 |阅读模式
书目名称Geometric Control of Fracture and Topological Metamaterials
编辑Noah Mitchell
视频video
概述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
丛书名称Springer Theses
图书封面Titlebook: Geometric Control of Fracture and Topological Metamaterials;  Noah Mitchell Book 2020 Springer Nature Switzerland AG 2020 gyroscopic metama
描述.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..
出版日期Book 2020
关键词gyroscopic metamaterials; topological order in amorphous materials; crack kinking; Berry curvature; topo
版次1
doihttps://doi.org/10.1007/978-3-030-36361-1
isbn_softcover978-3-030-36363-5
isbn_ebook978-3-030-36361-1Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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发表于 2025-3-21 21:43:45 | 显示全部楼层
2190-5053 s 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..978-3-030-36363-5978-3-030-36361-1Series ISSN 2190-5053 Series E-ISSN 2190-5061
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Domain-Specific Languages in Practiceding the role of lattice geometry in constraining the effects of time-reversal symmetry and inversion symmetry breaking. Last, we find that topological band structure generically arises in gyroscopic networks, and a simple protocol generates lattices with topological excitations.
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Conforming Nanoparticle Sheets to Surfaces with Gaussian Curvaturevature by increasing the size of the substrate spheres, we find that the stamped sheet morphology evolves through three characteristic stages: from full substrate coverage, where the sheet extends over the interstices in the lattice, to coverage in the form of caps that conform tightly to the top po
发表于 2025-3-22 18:14:12 | 显示全部楼层
Tunable Band Topology in Gyroscopic Latticesding the role of lattice geometry in constraining the effects of time-reversal symmetry and inversion symmetry breaking. Last, we find that topological band structure generically arises in gyroscopic networks, and a simple protocol generates lattices with topological excitations.
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Models for System and Test Representation,In this work, we have demonstrated two ways in which geometry governs the mechanics of materials. Here we offer avenues for further investigation and ask questions beyond the scope of this thesis.
发表于 2025-3-23 08:25:01 | 显示全部楼层
Conclusions and OutlookIn this work, we have demonstrated two ways in which geometry governs the mechanics of materials. Here we offer avenues for further investigation and ask questions beyond the scope of this thesis.
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