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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…
cond-mat.soft2024★ 11 cited
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…