Microstructural Evolution in Inhomogeneous Elastic Media

H. J. Jou, P. H. Leo, J. S. Lowengrub

Research output: Contribution to journalArticle

108 Citations (Scopus)

Abstract

We simulate the diffusional evolution of microstructures produced by solid state diffusional transformations in elastically stressed binary alloys in two dimensions. The microstructure consists of arbitrarily shaped precipitates embedded coherently in an infinite matrix. The precipitate and matrix are taken to be elastically isotropic, although they may havedifferentelastic constants (elastically inhomogeneous). Both far-field applied strains and mismatch strains between the phases are considered. The diffusion and elastic fields are calculated using the boundary integral method, together with a small scale preconditioner to remove ill-conditioning. The precipitate-matrix interfaces are tracked using a nonstiff time updating method. The numerical method is spectrally accurate and efficient. Simulations of a single precipitate indicate that precipitate shapes depend strongly on the mass flux into the system as well as on the elastic fields. Growing shapes (positive mass flux) are dendritic while equilibrium shapes (zero mass flux) are squarish. Simulations of multiparticle systems show complicated interactions between precipitate morphology and the overall development of microstructure (i.e., precipitate alignment, translation, merging, and coarsening). In both single and multiple particle simulations, the details of the microstructural evolution depend strongly on the elastic inhomogeneity, misfit strain, and applied fields.

Original languageEnglish (US)
Pages (from-to)109-148
Number of pages40
JournalJournal of Computational Physics
Volume131
Issue number1
DOIs
StatePublished - Feb 1997

Fingerprint

elastic media
Microstructural evolution
Precipitates
precipitates
Mass transfer
microstructure
Microstructure
boundary integral method
simulation
Binary alloys
Coarsening
binary alloys
conditioning
matrices
Merging
far fields
Numerical methods
inhomogeneity
alignment
solid state

Cite this

Microstructural Evolution in Inhomogeneous Elastic Media. / Jou, H. J.; Leo, P. H.; Lowengrub, J. S.

In: Journal of Computational Physics, Vol. 131, No. 1, 02.1997, p. 109-148.

Research output: Contribution to journalArticle

Jou, H. J. ; Leo, P. H. ; Lowengrub, J. S. / Microstructural Evolution in Inhomogeneous Elastic Media. In: Journal of Computational Physics. 1997 ; Vol. 131, No. 1. pp. 109-148.
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