On a model for phase separation in binary alloys driven by mechanical effects. (English) Zbl 1008.74066

Summary: This work is concerned with mathematical analysis of a system of partial differential equations modeling the effect of phase separation driven by mechanical actions in binary alloys like tin/lead solders. The system combines the (quasistationary) balance of linear momentum with a fourth-order evolution equation of Cahn-Hilliard type for phase separation, and it is highly nonlinearly coupled. Existence and uniqueness results are shown.


74N20 Dynamics of phase boundaries in solids
35Q72 Other PDE from mechanics (MSC2000)
Full Text: DOI


[6] Dreyer, W.; Müller, W., A study of the coarsening in tin/led solders, Int. J. Solids Struct., 37, 3841-3871 (2000) · Zbl 0973.74059
[8] Dreyer, W.; Müller, W., Quantitative modeling of diffusional coarsening in eutectic tin/lead solders, Int. J. Solids Struct., 38, 1433-1458 (2001) · Zbl 0961.74523
[11] Gurtin, M., Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance, Physica D, 92, 178-192 (1996) · Zbl 0885.35121
[12] Kenmochi, N.; Niezgódka, M.; Pawlow, I., Subdifferential operator approach to the Cahn-Hilliard equation with constraint, J. Differ. Equations, 117, 320-356 (1995) · Zbl 0823.35073
[14] Miranville, A., Some generalizations of the Cahn-Hilliard equation, Asymptot. Anal., 22, 235-259 (2000) · Zbl 0953.35055
[15] Zafran, M., Spectral theory and interpolation operators, J. Funct. Anal., 36, 185-204 (1980) · Zbl 0429.47002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.