气候变化领域集成服务门户(CCPortal): Localizing softness and stress along loops in 3D topological metamaterials

CCPortal

DOI	10.1073/pnas.1713826115
	Localizing softness and stress along loops in 3D topological metamaterials
	Baardink G.; Souslov A.; Paulose J.; Vitelli V.
发表日期	2018
ISSN	0027-8424
起始页码	489
结束页码	494
卷号	115 期号:3
英文摘要	Topological states can be used to control the mechanical properties of a material along an edge or around a localized defect. The rigidity of elastic networks is characterized by a topological invariant called the polarization; materials with a well-defined uniform polarization display a dramatic range of edge softness depending on the orientation of the polarization relative to the terminating surface. However, in all 3D mechanical metamaterials proposed to date, the topological modes are mixed with bulk soft modes, which organize themselves in Weyl loops. Here, we report the design of a 3D topological metamaterial without Weyl lines and with a uniform polarization that leads to an asymmetry between the number of soft modes on opposing surfaces. We then use this construction to localize topological soft modes in interior regions of the material by including defect lines-dislocation loops-that are unique to three dimensions. We derive a general formula that relates the difference in the number of soft modes and states of self-stress localized along the dislocation loop to the handedness of the vector triad formed by the lattice polarization, Burgers vector, and dislocation-line direction. Our findings suggest a strategy for preprogramming failure and softness localized along lines in 3D, while avoiding extended soft Weyl modes. © 2018 National Academy of Sciences. All rights reserved.
语种	英语
scopus关键词	Article; hardness; material state; mechanical stress; metamaterial; polarization; priority journal; rigidity
来源期刊	Proceedings of the National Academy of Sciences of the United States of America
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/160551
作者单位	Baardink, G., Instituut-Lorentz, Universiteit Leiden, Leiden, 2300 RA, Netherlands; Souslov, A., Instituut-Lorentz, Universiteit Leiden, Leiden, 2300 RA, Netherlands, James Franck Institute, University of Chicago, Chicago, IL 60637, United States, Department of Physics, University of Chicago, Chicago, IL 60637, United States; Paulose, J., Instituut-Lorentz, Universiteit Leiden, Leiden, 2300 RA, Netherlands, Department of Physics, University of California, Berkeley, CA 94720, United States, Department of Integrative Biology, University of California, Berkeley, CA 94720, United States; Vitelli, V., Instituut-Lorentz, Universiteit Leiden, Leiden, 2300 RA, Netherlands, James Franck Institute, University of Chicago, Chicago, IL 60637, United States, Department of Physics, University of Chicago, Chicago, IL 60637, United States
推荐引用方式 GB/T 7714	Baardink G.,Souslov A.,Paulose J.,et al. Localizing softness and stress along loops in 3D topological metamaterials[J],2018,115(3).
APA	Baardink G.,Souslov A.,Paulose J.,&Vitelli V..(2018).Localizing softness and stress along loops in 3D topological metamaterials.Proceedings of the National Academy of Sciences of the United States of America,115(3).
MLA	Baardink G.,et al."Localizing softness and stress along loops in 3D topological metamaterials".Proceedings of the National Academy of Sciences of the United States of America 115.3(2018).