Upcoming Talks

Ist logo

Quantitative homogenization of nonlinearly elastic periodic composites

Date: Tuesday, March 27, 2018 16:00 - 18:00
Speaker: Stefan Neukamm (TU Dresden)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Julian Fischer
Lab building west seminar room

Abstract:

One of the main problems in homogenization of nonlinearly elastic composites is that long wavelength buckling prevents the possibility of homogenization by averaging over a single period cell. A careful convexification argument (that invokes a perturbation of the stored energy function by a Null Lagrangian) combined with regularity theory for monotone systems shows that long wavelength buckling cannot occur for small loads. Based on this observation we obtain a quantitative two-scale expansion for energy minimizers and we can discuss the linearization of periodic composites at strained equilibrium states. The talk is based on a joint work with M. Schffner.
Qr image
Download ICS Download invitation
Back to eventlist