3 papers
math-ph2026
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…
math.AP2025
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…
math-ph2025
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…