17 citations · 17 across the 6 of their papers we have counts for
7 papers
Pseudo-magnetism in a strained discrete honeycomb lattice
Xuenan Li, Michael I. Weinstein
Slowly varying nonuniform strains of non-magnetic wave propagating media with honeycomb symmetry induce an effective- or pseudo-magnetic field, a phenomenon observed first in graph…
An Asymptotic Approach for Modeling Multiscale Complex Fluids at the Fast Relaxation Limit
Xuenan Li, Chun Liu, Di Qi
We present a new asymptotic strategy for general micro-macro models which analyze complex viscoelastic fluids governed by coupled multiscale dynamics. In such models, the elastic s…
A Constrained Optimization Approach for Constructing Rigid Bar Frameworks with Higher-order Rigidity
Xuenan Li, Christian D. Santangelo, Miranda Holmes-Cerfon
We present a systematic approach for constructing bar frameworks that are rigid but not first-order rigid, using constrained optimization. We show that prestress stable (but not fi…
A nonlinear homogenization-based perspective on the soft modes and effective energies of some conformal metamaterials
Xuenan Li, Robert V. Kohn
There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem i…
The effective energy of a lattice metamaterial
Xuenan Li, Robert V. Kohn
We study the sense in which the continuum limit of a broad class of discrete materials with periodic structures can be viewed as a nonlinear elastic material. While we are not the…
A Constrained Saddle Search Approach for Constructing Singular and Flexible Bar Frameworks
Xuenan Li, Mihnea Leonte, Christian D. Santangelo +1
Singularity analysis is essential in robot kinematics, as singular configurations cause loss of control and kinematic indeterminacy. This paper models singularities in bar framewor…
Some results on the Guest-Hutchinson modes and periodic mechanisms of the Kagome lattice metamaterial
Xuenan Li, Robert V. Kohn
Lattice materials are interesting mechanical metamaterials, and their mechanical properties are often related to the presence of mechanisms. The existence of periodic mechanisms ca…