Sharp-interface model for eutectic alloys. Part I: Concentration dependent surface tension
- Dreyer, Wolfgang
- Wagner, Barbara
2010 Mathematics Subject Classification
- 74D10 74F05 74F10 77N25
- Matched asymptotics, boundary integral method, numerics
We consider the problem of phase separation in eutectic alloy such e.g. SnPb. For this we derive a phase field model from a 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.
- Interfaces Free Boundaries 7 (2005), pp. 199--227.