Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T01:31:45.530Z Has data issue: false hasContentIssue false

Microstructure simulations within the Lattice Statics formalism: elasticity and morphologies at the atomic scale

Published online by Cambridge University Press:  08 April 2013

C. Varvenne
Affiliation:
Currently at Service de Recherche de Métallurgie Physique, DEN/DMN/SRMP, 91191 Gif-sur-Yvette, FRANCE
Y. Le Bouar
Affiliation:
Laboratoire d’Etude des Microstructures, CNRS - Onera, 29 avenue de la division Leclerc, 92322 Châtillon, FRANCE
A. Finel
Affiliation:
Laboratoire d’Etude des Microstructures, CNRS - Onera, 29 avenue de la division Leclerc, 92322 Châtillon, FRANCE
M. Fèvre
Affiliation:
Laboratoire d’Etude des Microstructures, CNRS - Onera, 29 avenue de la division Leclerc, 92322 Châtillon, FRANCE
Get access

Abstract

In this paper, the Lattice Statics formalism is used to perform Monte Carlo simulations of alloy microstructures when elastic effects are present. It provides sets of long-range effective pair interactions (EPIs), defined in a rigid average reference state, that allow us to compute microstructural evolutions on diffusion time scale. A wide composition range is investigated in order to characterize the different precipitation processes with elasticity (nucleation and growth, spinodal decomposition). An advantage of the approach is to include the concentration dependence of both the effective chemical interactions and the elastic properties of the reference state. The importance of this point is illustrated by comparing the precipitation sequences in two alloys with symmetric average concentrations.

Type
Articles
Copyright
Copyright © Materials Research Society 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Cook, H.E. and de Fontaine, D., Acta. Mater. 17, 915924 (1969)CrossRefGoogle Scholar
Krivoglaz, M.A., Diffuse Scattering of X-rays and Neutrons by fluctuations, Hardcover, Springer (1996)CrossRefGoogle Scholar
Asta, M. and Foiles, S.M., Phys. Rev. B 53, 23892404 (1996)CrossRefGoogle Scholar
Varvenne, C., Finel, A., Le Bouar, Y. and Fevre, M., submitted to Phys. Rev. B Google Scholar
Fevre, M., Varvenne, C., Finel, A. and Le Bouar, Y., submitted to Phil. Mag.Google Scholar
Khachaturyan, A.G., The Theory of Structural Transformations in Solids, Wiley, New York (1983)Google Scholar
Fratzl, P. and Penrose, O., Acta. Metall. Mat. 43, 2921 (1995)CrossRefGoogle Scholar
Sequeira, A.D., Calderon, H.A., Kostorz, G. and Pedersen, J.S., Acta. Metal. Mater. 43, 34273439 (1995)CrossRefGoogle Scholar
Varvenne, C., PhD thesis, University of Pierre and Marie Curie, Paris Google Scholar