力学进展· 2021
Research progress of elastic topological materials
- 25citations
- 2021year
Short summary
Elastic topological materials, inspired by quantum systems, enable unprecedented control over elastic wave propagation, offering unidirectional and dissipationless energy transport.
AI-generated from the title and abstract; the full text is not read.
Key points
- Elastic topological materials generalize quantum topological insulator concepts to elastic waves.
- Key theoretical concepts include Dirac cones, band inversion, Berry curvatures, and topological invariants.
- Progress includes designs for valley Hall, Chern, and spin Hall insulators, and high-order topological insulators.
- Topological phenomena in static mechanics, like solitons and zero-energy modes, are also discussed.
AI-generated from the title and abstract; the full text is not read.
Abstract
Topological insulators, originated in quantum systems, are recently generalized to electromagnetic, acoustic, and elastic wave fields due to interesting wave controlling provides, such as unidirectional and dissipationless energy transportation. This new kind of materials provide unprecedented possibilities for engineering wave flows. This paper will introduce the basic theory of topological insulators and summarize the research progress of topological insulators in elastic fields. Based on one-dimensional and two-dimensional discrete models, preliminary concepts of topological insulators, such as Dirac cone, band inversion, Berry curvatures, topological invariants, are introduced. The design and progress of valley Hall insulators, Chern insulators as well as spin Hall insulators are introduced afterward, followed by discussions on high-order topological insulators. The last part of this paper covers topological phenomena in static mechanics, including topological solitons and toplogical zero energy modes.
The authors' abstract, as published at the source. 力学进展, 2021 · DOI ↗
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Field: General Engineering
General EngineeringEngineering