Very thin metallic films are susceptible to dewetting upon thermal excursions, resulting in fragmentation and hence loss of structural integrity. Herein, 15 to 55 nm thick Cu films deposited on a Si substrate were isothermally annealed at 400 to 700 °C inside a scanning electron microscope operating in high-vacuum mode and the ensuing dewetting behavior was studied. The observations revealed that the induction time before the void nucleation varied with film thickness as per a power-law with an exponent of 4, and the activation energy for both the void nucleation and the growth was close to the activation energy for surface diffusion.
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February 2015
In directional solidification of binary eutectics, it is often observed that two-phase lamellar growth patterns grow tilted with respect to the direction z of the imposed temperature gradient. This crystallographic effect depends on the orientation of the two crystal phases α and β with respect to z. Recently, an approximate theory was formulated that predicts the lamellar tilt angle as a function of the anisotropy of the free energy of the solid(α)-solid(β) interphase boundary.
View Article and Find Full Text PDFPhys Rev E Stat Nonlin Soft Matter Phys
February 2012
In this paper, we describe the derivation of a model for the simulation of phase transformations in multicomponent real alloys starting from a grand-potential functional. We first point out the limitations of a phase-field model when evolution equations for the concentration and the phase-field variables are derived from a free energy functional. These limitations are mainly attributed to the contribution of the grand-chemical-potential excess to the interface energy.
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May 2011
We investigate lamellar three-phase patterns that form during the directional solidification of ternary eutectic alloys in thin samples. A distinctive feature of this system is that many different geometric arrangements of the three phases are possible, contrary to the widely studied two-phase patterns in binary eutectics. Here, we first analyze the case of stable lamellar coupled growth of a symmetric model ternary eutectic alloy, using a Jackson-Hunt-type calculation in thin film geometry, for arbitrary configurations, and derive expressions for the front undercooling as a function of velocity and spacing.
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