Modeling of phase separation in alloys with coherent elastic misfit

Peter Fratzl, Oliver Penrose, Joel Lebowitz

Research output: Contribution to journalArticle

197 Citations (Scopus)

Abstract

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) behavior of alloys. If the elastic moduli are different in the two phases, the elastic interactions may accelerate, slow down or even stop the phase separation process. If the material is elastically anisotropic, the precipitates can be shaped like plates or needles instead of spheres and can arrange themselves into highly correlated patterns. Tensions or compressions applied externally to the specimen may have a strong effect on the shapes and arrangement of the precipitates. In this paper, we review the main theoretical approaches that have been used to model these effects and we relate them to experimental observations. The theoretical approaches considered are (i) "macroscopic" models treating the two phases as elastic media separated by a sharp interface, (ii) "mesoscopic" models in which the concentration varies continuously across the interlace, and (iii) "microscopic" models which use the positions of individual atoms.

Original languageEnglish (US)
Pages (from-to)1429-1503
Number of pages75
JournalJournal of Statistical Physics
Volume95
Issue number5-6
StatePublished - Jun 1 1999

Fingerprint

Phase Separation
Modeling
precipitates
elastic media
Elastic Modulus
Coarsening
Interaction
needles
Model
Accelerate
Spacing
Arrangement
modulus of elasticity
Compression
spacing
interactions
Vary
atoms

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Atomic lattice models
  • Diffuse interface models
  • Elastic interactions
  • Kinetics of phase separation
  • Quenched alloys
  • Sharp interface model

Cite this

Fratzl, Peter ; Penrose, Oliver ; Lebowitz, Joel. / Modeling of phase separation in alloys with coherent elastic misfit. In: Journal of Statistical Physics. 1999 ; Vol. 95, No. 5-6. pp. 1429-1503.
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Modeling of phase separation in alloys with coherent elastic misfit. / Fratzl, Peter; Penrose, Oliver; Lebowitz, Joel.

In: Journal of Statistical Physics, Vol. 95, No. 5-6, 01.06.1999, p. 1429-1503.

Research output: Contribution to journalArticle

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AU - Penrose, Oliver

AU - Lebowitz, Joel

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