Microstructural stability can be modified by the presence of internal
or applied stresses. We employ a linear stability analysis to examine
the effect of stresses on the interface diffusion controlled morpholog
ical stability of lamellar (plate-like) and fibrous (rod-like phase) e
utectic microstructures. These stresses can be either due to misfit st
rains and/or externally applied loads. For misfitting plates, the nomi
nally flat plate-matrix interface is unstable with respect to the grow
th of perturbations with wavelengths greater than a critical wavelengt
h, provided that the plates are elastically stiffer than the surroundi
ng matrix. In contrast, for stresses generated by externally applied l
oads, the flat plate-matrix interface is always unstable as long as th
e plate modulus and the matrix modulus are different. In addition, the
present analysis shows that misfit strains can either counteract or e
nhance the destabilizing influence of applied loads, depending on the
elastic properties of the plate and the matrix and the volume fraction
of the two phases. For misfitting rods, the nominally cylindrical rod
-matrix interface in an isotropic matrix is unstable with or without e
lastic effects. However, the elastic effects can decrease (increase) t
he maximally unstable wavelength over that predicted by curvature effe
cts alone provided that the rods are elastically stiffer (softer) than
the surrounding matrix. Stresses generated by externally applied load
s, on the other hand, always lead to a decrease in the instability wav
elength compared with the Rayleigh instability wavelength. Stability d
iagrams are presented which identify the material properties and opera
ting conditions required to maintain a stable interface in these eutec
tic microstructures. (C) 1997 Acta Metallurgica Inc.