Periodic Homogenization in Linear Elasticity
Prof. Gilles Francfort, Université Paris-Nord
Sala Conferenze, IMATI-CNR - Tuesday, October 25, 2016 h.15:00
Abstract. In 1993, Giuseppe Geymonat, Stefan Müller and Nicolas Triantafyllidis demonstrated that, in the setting of linearized elasticity, a Gamma-convergence result holds for highly oscillating sequences of elastic energies whose functional coercivity constant over the whole space is zero while the corresponding coercivity constant on the torus remains positive. We find sufficient conditions for such a situation to occur through a rigorous revisiting of a laminate construction given by Gutierrez in 1999. We further demonstrate that isotropy
prohibits such an occurrence. The results should apply to both the periodic and the stochastic setting. They were obtained in part with Marc Briane (Rennes), and in part with Antoine Gloria (Brussels).
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