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THE EFFECTS OF A STRESS-DEPENDENT MOBILITY ON INTERFACIAL STABILITY
 

Summary: THE EFFECTS OF A STRESS-DEPENDENT MOBILITY ON
INTERFACIAL STABILITY
P.W. VOORHEES
Department of Materials Science and Engineering Northwestern University, Evanston,
IL 60093
M.J. AZIZ
Division of Engineering and Applied Sciences, Harvard University, Cambridge MA,
02138
A linear morphological stability analysis of a planar interface in interface reaction-
controlled growth is presented. We allow the mobility of the interface to be a
function of the elastic stress, and nd that the stress dependent mobility can be
either stabilizing or destabilizing. We nd that a stress dependent mobility can be
the dominant factor leading to instability at small stresses. The predictions are
compared to the recent experiments by Barvosa-Carter et al. In agreement with
their conclusions, we nd that the experiments were performed in a parameter
range where the stress dependent mobility is the dominant cause of instability. The
prediction of the critical wavenumber for and ampli cation rate of the instability
is consistent with the experimental results.
1 Introduction
The stability of interfaces in elastically stressed solids has been the subject of great

  

Source: Aziz, Michael J.- School of Engineering and Applied Sciences, Harvard University

 

Collections: Physics; Materials Science