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math-ph2018
From statistical polymer physics to nonlinear elasticity
Marco Cicalese, Antoine Gloria, Matthias Ruf
A polymer-chain network is a collection of interconnected polymer-chains, made themselves of the repetition of a single pattern called a monomer. Our first main result establishes…
math.AP2018
Loss of strong ellipticity through homogenization in 2D linear elasticity: A phase diagram
Antoine Gloria, Matthias Ruf
Since the seminal contribution of Geymonat, Müller, and Triantafyllidis, it is known that strong ellipticity is not necessarily conserved through periodic homogenization in linear…