Title：Topological Kagome Lattice for Mechanical Insulators
Prof. Guoliang Huang
Mechanical and Aerospace Engineering
University of Missouri, Columbia, MO 65211, USA
Both Quantum Valley-Hall Insulator (QVHI) and Quantum Spin-Hall Insulator (QSHI) are implemented into a simple mass-spring Kagome lattice. The transition from the trivial state to the topological one is described by an invariant Chern number function of a contrast parameter. The band diagram and helical edge states characteristic of QVHI and QSHI are obtained by a combination of numerical and analytical methods. In particular, these states are shown to be Stoneley wave solutions to a set of asymptotic continuous motion equations. We also investigates a mechanical wave analogue of the quantum Hall effect (QHE) in two-dimensional periodically time-modulated materials. Numerical simulations demonstrate the existence of topologically protected one-way edge states around sharp corners, defects and non-uniform modulated phases at the boundary of the time-modulated material. On the other hand, static mechanical polarization effects of Kagome lattice is captured by developing new micro-twisting theory, which is also validated by numerical simulation.
Dr. Guoliang Huang is currently a professor of mechanical and aerospace engi-neering at University of Missouri-Columbia. He received his Ph.D. degree from University of Alberta, Canada, in 2004. He was a post-doctoral fellow and a re-search assistant professor in School of Aeronautics and Astronautics at Purdue Uni-versity from Aug. 2004 to July 2006. Dr. Huang’s research interests include elas-tic/acoustic metamaterials, topological mechanics, structural dynamics, multi-scale and multi-physical modeling, structural health monitoring, bio-sensing, and micro- and nano-mechanics. Dr. Huang’s research has been funded by NSF, Air Force of Scientific Research, Army Research Office, Office of Naval Research, Department of Energy, NASA, and industries. He has authored one book, 4 book chapters and 103 journal papers. He is currently an associate editor of Wave Motion. He is the recipients of Northrop Research Award at University of Arkansas in 2009 and Senior Faculty Research Award at University of Missouri in 2018.