Jl. Beuth et Nw. Klingbeil, CRACKING OF THIN-FILMS BONDED TO ELASTIC-PLASTIC SUBSTRATES, Journal of the mechanics and physics of solids, 44(9), 1996, pp. 1411-1428
Thin bonded films have many applications. In information storage and p
rocessing systems, for example, conducting, semiconducting and insulat
ing films are used in integrated circuits, and thin magnetic films are
used in disk storage systems. In many cases, thin bonded films an in
a state of residual tension, which can lead to film cracking. Because
cracking can alter desired film properties, methods for predicting it
are needed. The geometry considered in this work is one in which crack
s or flaws oriented normal to the film-substrate interface propagate (
or ''channel'') across the film. It is assumed that the film is brittl
e and the substrate is ductile. Plane strain fracture analyses are use
d to investigate the channel cracking of elastic thin films in residua
l tension in the presence of yielding in the substrate material. Altho
ugh crack channeling induces yielding in the substrate, channel crack
extension in the brittle film occurs under small scale yielding condit
ions. The case of an elastic film bonded to an elastic substrate has b
een considered in earlier work, and is used as the basis for the curre
nt study. A numerical model is used to extend the results from the ful
ly elastic problem so that plastic yielding of the substrate is allowe
d. Results are presented for an elastic-perfectly plastic substrate an
d for substrates exhibiting strain hardening. A simple shear lag model
of the problem without hardening in the substrate is discussed, which
gives reasonable predictions for the dependence of dimensionless frac
ture quantities on the normalized loading over a wide range of materia
l mismatches. In addition, a method is presented by which shear lag mo
deling can be extended to cases in which the substrate exhibits strain
hardening. Copyright (C) 1996 Elsevier Science Ltd