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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
83/2005

Qualitative properties of a continuum theory for thin films

Bernd Schmidt

Abstract

We discuss qualitative aspects of a continuum theory for thin films. The stored energy density is examined for convexity properties and limiting behavior under large and small strains. A study of the dependence of the theory on relaxation parameters leads to the result that the scale of convergence used to derive the theory from atomic models is the only scale for which a limiting theory that also accounts for atomic relaxation effects is non-trivial.

Received:
Sep 13, 2005
Published:
Sep 13, 2005

Related publications

inJournal
2008 Repository Open Access
Bernd Schmidt

Qualitative properties of a continuum theory for thin films

In: Annales de l'Institut Henri Poincaré / C, 25 (2008) 1, pp. 43-75