Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
111/2005

Minimal energy configurations of strained multi-layers

Bernd Schmidt

Abstract

We derive an effective plate theory for internally stressed thin elastic layers as are used e.g. in the fabrication of nano- and 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 non-vanishing thickness.

Received:
Nov 28, 2005
Published:
Nov 28, 2005

Related publications

inJournal
2007 Repository Open Access
Bernd Schmidt

Minimal energy configurations of strained multi-layers

In: Calculus of variations and partial differential equations, 30 (2007) 4, pp. 477-497