Local regions of bond failure between face sheet and core are often ob
served when sandwich structures are exposed to low energy impacts. Sim
ilarly, impact loads frequently result in delaminations within the fac
e sheets. In the absence of any delaminations in the sandwich structur
e the buckling strain of the debonded region is in this work shown to
be the key parameter in assessing the structural integrity of a sandwi
ch component in compression. The objective of this study was to predic
t the buckling of the debonded region and to investigate the parameter
s controlling this instability. A large number of analyses of the dela
mination buckling problem, which in many ways may appear similar to th
e debond problem: have been carried out in the past. However, the debo
nd-buckling problem has not been addressed before and as shown in this
work there are significant differences. The Finite Element method was
found able to predict all the experimentally observed phenomena accur
ately. These calculations were expensive, and a simple one-dimensional
closed form solution is proposed for qualitative parametric investiga
tions. Effects of material properties and initial imperfections were e
xamined. Analyses of the buckling of a delamination suggest that the e
ffect of the core can be ignored. In contrast, the results presented i
n this paper show that the core cannot be ignored in the case of buckl
ing of a debond nor can it be simulated in terms of simple boundary co
nditions.