2 papers
cond-mat.soft2025
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…
cond-mat.soft2024
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…