63 citations · 245 across the 8 of their papers we have counts for
8 papers
Topological Floppy Modes in Epithelial Tissues
Harry Liu, Di Zhou, Leyou Zhang +2
Recent advances in topological mechanics have revealed unusual phenomena such as topologically protected floppy modes and states of self-stress that are exponentially localized at…
Topological mechanics in quasicrystals
Di Zhou, Leyou Zhang, Xiaoming Mao
We study topological mechanics in two-dimensional quasicrystalline parallelogram tilings. Topological mechanics has been studied intensively in periodic lattices in the past a few…
Correlated rigidity percolation and colloidal gels
Shang Zhang, Leyou Zhang, Mehdi Bouzid +3
Rigidity percolation (RP) occurs when mechanical stability emerges in disordered networks as constraints or components are added. Here we discuss RP with structural correlations, a…
Fracturing of topological Maxwell lattices
Leyou Zhang, Xiaoming Mao
We present fracturing analysis of topological Maxwell lattices when they are stretched by applied stress. Maxwell lattices are mechanical structures containing equal numbers of deg…
Topological edge floppy modes in disordered fiber networks
Di Zhou, Leyou Zhang, Xiaoming Mao
Disordered fiber networks are ubiquitous in a broad range of natural (e.g., cytoskeleton) and manmade (e.g., aerogels) materials. In this paper, we discuss the emergence of topolog…
Fiber networks below the isostatic point: fracture without stress concentration
Leyou Zhang, D. Zeb Rocklin, Leonard M. Sander +1
Crack nucleation is a ubiquitous phenomena during materials failure, because stress focuses on crack tips. It is known that exceptions to this general rule arise in the limit of st…
Finite temperature mechanical instability in disordered lattices
Leyou Zhang, Xiaoming Mao
Mechanical instability takes different forms in various ordered and disordered systems. We study the effect of thermal fluctuations in two disordered central-force lattice models n…
Rigidity percolation by next-nearest-neighbor braces on generic and regular isostatic lattices
Leyou Zhang, D. Zeb Rocklin, Bryan Gin-ge Chen +1
We study rigidity percolation transitions in two-dimensional central-force isostatic lattices, including the square and the kagome lattices, as next-nearest-neighbor bonds ("braces…