für Mathematik in den Naturwissenschaften Leipzig Minimal energy configurations

We derive an effective plate theory for internally stressed thin elastic layers as are used e.g. in the fabrication of nanoand microscrolls. The shape of the energy minimizers of the effective energy functional is investigated without a priori assumptions on the geometry. For configurations in two dimensions (corresponding to Euler-Bernoulli theory) we also take into account a non-interpenetration condition for films of small but nonvanishing thickness.