WIAS Preprint No. 540, (1999)

Modeling diffusional coarsening in eutectic tin/lead solders: A quantitative approach


  • Dreyer, Wolfgang
  • Müller, Wolfgang H.

2010 Mathematics Subject Classification

  • 76R50 82B26 82B24 35K30 35K35


  • Diffusion, phase transition, interface problems, initial value problems for higher order parabolic equations, boundary value problems for higher order parabolic equations




This paper presents a quantitative simulation of the phase separation and coarsening phenomenon in eutectic tin/lead (SnPb) solders. The computer modeling is based on continuum theory and field phase models which were evaluated using the most recently available data for the free energy of the tin/lead system, diffusional and mobility coefficients, elastic constants as well as surface tensions of both phases. The model presented allows to study the influence as well as the interaction between classical diffusion of the Fickean type, surface energies according to Cahn and Hilliard, as well as stresses and strains on phase separation and coarsening. An attempt is made to compare the temporal development of a eutectic SnPb microstructure at different temperature levels and subjected to different stress levels as predicted by the model to actual experiments.

Appeared in

  • Internat. J. Solids Structures, 38(8):1433-1458, 2001

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