Geodesic
Sharp-interface model for eutectic alloys. Part I: Concentration dependent surface tension
Wolfgang Dreyer1 ; Barbara A. Wagner1
1Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
Interfaces and free boundaries, Tome 7 (2005) no. 2, pp. 199-227

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DOI

We consider the problem of phase separation in eutectic alloy such as e.g. SnPb. For this we derive a phase field model from an atomistic point of view. We find the surface energy to be anisotropic, having in general a nonlinear dependence on concentration. We use matched asymptotic analysis to obtain a corresponding sharp interface model. The resulting expression for the surface tension agrees with that found on the basis of classical thermodynamics for jump conditions at singular interfaces. A boundary integral formulation of the sharp-interface model enables us to numerically describe the motion and deformation of the binary alloy.
DOI : 10.4171/ifb/121
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Wolfgang Dreyer  1   ; Barbara A. Wagner  1

1 Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany 
Wolfgang Dreyer; Barbara A. Wagner. Sharp-interface model for eutectic alloys. Part I: Concentration dependent surface tension. Interfaces and free boundaries, Tome 7 (2005) no. 2, pp. 199-227. doi: 10.4171/ifb/121
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     title = {Sharp-interface model for eutectic alloys. {Part} {I:} {Concentration} dependent surface tension},
     journal = {Interfaces and free boundaries},
     pages = {199--227},
     year = {2005},
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     doi = {10.4171/ifb/121},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/121/}
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