Interfacial Energy and Fine Defect Structures for Incoherent Films

TL;DR

This paper investigates how the properties of interfacial energy functions influence the formation of dislocations and critical thickness in incoherent film-substrate interfaces using calculus of variations.

Contribution

It provides a theoretical analysis linking interfacial energy convexity and smoothness to interface behaviors in incoherent films.

Findings

Existence of a critical thickness for incoherency.

Formation of interfacial dislocations depends on energy properties.

Convexity and smoothness of energy functions are key factors.

Abstract

This note summarizes recent results in which modern techniques of the calculus of variations are used to obtain qualitative features of film-substrate interfaces for a broad class of interfacial energies. In particular, we show that the existence of a critical thickness for incoherency and the formation of interfacial dislocations depend strongly on the convexity and smoothness of the interfacial energy function.