Tuesday, 25 October 2016, 3 p.m. (sharp), Prof. Gilles Francfort, Université Paris-Nord, at the conference room of IMATI-CNR in Pavia, will give a lecture titled:
PERIODIC HOMOGENIZATION IN LINEAR ELASTICITY
as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).
At the end a refreshment will be organized.
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).
Pagina web del Seminario di Matematica Applicata: