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Publication 99-CNA-04

Energies for Incoherent films: an Analytical Approach

Paolo Cermelli
Departimento di Matematica
Universita di Torino, Italy

Morton E. Gurtin
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

Giovanni Leoni
Dipartimento di Scienze e Tecnolgie Avanzate
Universita del Piemonte Orientale
Alessandria, Italy


ABSTRACT:

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 in deciding appropriate energies for a large class of incoherent interfaces.

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