5 papers
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…