41 citations · 149 across the 7 of their papers we have counts for
5 papers · 1 filter
Classifying soft elastic lattices using higher-order homogenization
Basile Audoly, Claire Lestringant, Hussein Nassar
We propose a methodology for the homogenization of periodic elastic lattices that covers the case of unstable lattices, having affine (macroscopic) or periodic (microscopic) mechan…
Fixing non-positive energies in higher-order homogenization
Manon Thbaut, Basile Audoly, Claire Lestringant
Energy functionals produced by second-order homogenization of periodic elastic structures commonly feature negative gradient moduli. We show that this undesirable property is cause…
Asymptotic, second-order homogenization of linear elastic beam networks
Yang Ye, Basile Audoly, Claire Lestringant
We propose a general approach to the higher-order homogenization of discrete elastic networks made up of linear elastic beams or springs in dimension 2 or 3. The network may be nea…
Asymptotic derivation of high-order rod models from non-linear 3D elasticity
Basile Audoly, Claire Lestringant
We propose a method for deriving equivalent one-dimensional models for slender non-linear structures. The approach is designed to be broadly applicable, and can handle in principle…
A one-dimensional model for elasto-capillary necking
Claire Lestringant, Basile Audoly
We derive a non-linear one-dimensional (1d) strain gradient model predicting the necking of soft elastic cylinders driven by surface tension, starting from 3d finite-strain elastic…