Phase field under stress

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dc.creatorKassner, Klaus
dc.creatorMisbah, Chaouqi
dc.creatorMueller, Judith
dc.creatorKappey, Jens
dc.creatorKohlert, Peter
dc.date2000-05-26
dc.date.accessioned2026-07-07T02:37:45Z
dc.date.available2026-07-07T02:37:45Z
dc.descriptionA phase-field approach describing the dynamics of a strained solid in contact with its melt is developed. By rigorous asymptotic analysis we show that the sharp-interface limit of this model recovers the continuum model equations for the Grinfeld instability. Moreover, we use our approach to derive hitherto unknown sharp-interface equations for a situation including a field of body forces. The numerical utility of the phase-field approach is demonstrated by comparison with a sharp-interface simulation. We then investigate the dynamics of extended systems within the phase-field model which contains an inherent lower length cutoff, thus avoiding cusp singularities. It is found that a periodic array of grooves generically evolves into a superstructure which arises from a series of imperfect period doublings. For wavenumbers close to the fastest-growing mode of the linear instability, the first period doubling can be obtained analytically. Both the dynamics of an initially periodic array and a random initial structure can be described as a coarsening process with winning grooves temporarily accelerating whereas losing ones decelerate and even reverse their direction of motion.
dc.description40 pages, 12 figures, submitted to Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/cond-mat/0005476
dc.identifierhttp://arxiv.org/abs/cond-mat/0005476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16413
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titlePhase field under stress
dc.typetext

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