We consider the problem of minimizing hyperelastic energies in 3D. It is
known that if the energy space allows for maps with cavitation (creation
of holes), without penalization of the created surface, the hyperelastic
energies are not lower semi-continuous for the weak convergence. We can
then try to find minimizers in a subset of maps not allowing for
cavitation, but for the neo-Hookean energy this condition is not closed
under the weak convergence in H¹. I will describe some properties of
weak limits of minimizing sequences and give a lower-bound on the relaxed
energy for the neo-Hookean problem. This is a joint work (in progress)
with Marco Barchiesi, Duvan Henao and Carlos Mora-Corral.

Meeting ID: 818 2474 3033
Passcode: 964326