Energies for incoherent films: an analytical approach

  • Paolo Cermelli

    Università degli Studi di Torino, Italy
  • Morton E. Gurtin

    Carnegie Mellon University, Pittsburgh, USA
  • Giovanni Leoni

    Carnegie-Mellon University, Pittsburgh, USA


This work discusses the role of interfacial energy for problems involving an epitaxial layer on a rigid substrate. Using the calculus of variations, resulting microstructures are determined for a large class of interfacial energies; the qualitative features of these microstructures demonstrate a strong dependence on the smoothness and convexity of the energy. This work is meant to provide insight into deciding appropriate energies for a large class of incoherent interfaces.

Cite this article

Paolo Cermelli, Morton E. Gurtin, Giovanni Leoni, Energies for incoherent films: an analytical approach. Interfaces Free Bound. 1 (1999), no. 1, pp. 81–105

DOI 10.4171/IFB/5