Topological Zero-Modes and States of Self-Stress in 3D Lattices

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Topological Zero-Modes and States of Self-Stress in 3D Lattices

Type: Master thesis
Title: Topological Zero-Modes and States of Self-Stress in 3D Lattices
Author: Baardink, Guido Christian
Issue Date: 2017-02-28
Keywords: condensed matter
metamaterials
topology
rigidity
Abstract: Mechanical metamaterials are structures whose carefully constructed geometry allows for unusual mechanical response. It has been shown that local rigidity and softness in isostatic structures may be described by a topologically protected polarization field. Here we exhaustively characterize a class of 3D lattices based on the 2D kagome lattice. Our main finding is a 3D metamaterial at critical mechanical stability, whose bottom side is much floppier than its top side. We also derive a general formula describing rigidity and softness associated to line dislocations in 3D polarized lattices
Supervisor: Vitelli, Vincenzo
Faculty: Faculty of Science
Department: Physics (Master)
Specialisation: Theoretical Physics
ECTS Credits: 8
Handle: http://hdl.handle.net/1887/46269
 

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