Instability of the interface between conducting materials under electrical current

R.V. Goldstein1, T.M. Makhviladze2, M.E. Sarychev3*
1Institute for Problems in Mechanics, RAS; head of laboratory
2Institute of Physics and Technology, RAS; head of laboratory
3Institute of Physics and Technology, RAS; principal scientist
A model for estimation of the influence of vacancy electromigration in the bulks of joint conducting materials under the electrical current on stability of plane interface between them is developed. The system of equations describing the interaction of the interface profile and the mechanical stresses which arise due to the fluxes of ions and vacancies initiated by a small spatially-periodical disturbance of the interface are obtained and solved. The criteria of increase of the disturbance amplitude with time, i.e. the conditions of instability of the initially plane interface between the materials, due to the mass transfer under the electrical current are found. For the case of identical materials the ranges of values of disturbance wavelengths and current density, for which just the bulk vacancy electromigration results in the increase of disturbance amplitude with time, analytically obtained. The dependences of the boundaries of these wavelength ranges on a value and direction of the electrical current are also found. In the case of different materials the respective analysis is significantly more difficult. However the results obtained in the work give the definite grounds to consider that the corresponding conditions, at which the bulk vacancy electromigration can strongly influence on the spatial small disturbance of the interface, are possible. The results of the work can be useful for development of technological processes in microelectronics.
Received: 19 October 2015   Revised: 25 December 2015   Accepted: 08 February 2016
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