✦ LIBER ✦

A model for evolution of shape changing precipitates in multicomponent systems

✍ Scribed by J. Svoboda; F.D. Fischer; P.H. Mayrhofer

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 528 KB
Volume: 56
Category: Article
ISSN: 1359-6454
DOI: 10.1016/j.actamat.2008.06.016

No coin nor oath required. For personal study only.

✦ Synopsis

Recently the authors introduced a concept of shape factors to extend an already established model for the growth and coarsening kinetics of spherical precipitates in multicomponent multiphase environments to needle-and disc-shaped geometries. The geometry of the precipitates is kept in the original version of the concept to be self-similar with a given fixed aspect ratio. In the present treatment, the aspect ratios of individual precipitates are treated as independent evolving parameters. The evolution equations of each precipitate, described by its effective radius, mean chemical composition and the aspect ratio, are derived by application of the thermodynamic extremal principle. The driving force for the evolution of the aspect ratio of the precipitate stems from the anisotropic misfit strain of the precipitate and from the orientation dependence of the interface energy. The model is used for the simulation of the precipitation of Ti 3 AlN and Ti 2 AlN in Ti-Al-0.5 at.% N matrix.

📜 SIMILAR VOLUMES

A local-field-type model for immunologic

A local-field-type model for immunological systems: time evolution in real and shape spaces

✍ Andrés R.R. Papa; Constantino Tsallis 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 820 KB

We introduce a new model for the interaction of immunological cells that takes into accounl their location in real space. Each one of the model cells mimics the real B cells in the sense that they detect antigens and they are also capable of reproducing themselves. We perform computer simulations fo

A model for the examination of phase beh

A model for the examination of phase behaviour in multicomponent systems

✍ J.W. Perram; E.R. Smith 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 273 KB

The Percus-Yevick equation for a m~ticompane~~ system of adhesive spheres is solved exactly. For an ~"component system, the ph;lcc behsviour is dstcrminzd by the number and m-axe ofzeros ofa system of m(m + I)12 quadratic equations. We consider an ~-~ornpone~~ system for which the i&era&ion between

A simple model for estimating the sensit

A simple model for estimating the sensitivity of runoff to long-term changes in precipitation without a change in vegetation

✍ J.C.I. Dooge; M. Bruen; B. Parmentier 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 270 KB

A general molecular model for the effect

A general molecular model for the effect of multicomponent mixtures on biological systems

✍ Daniel M Ennis 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 790 KB

Computer simulations aimed at the analys

Computer simulations aimed at the analysis of the state and the evolution of multicomponent systems—I. Electroconductivity models for system monitoring

✍ L.A. Abramova; A.A. Dulov; S.P. Baranov 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 637 KB

Theoretical model for the phase transiti

Theoretical model for the phase transition of a membrane as a multicomponent system

✍ Masahiko Hosokawa 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB

## Abstract A theoretical model is given that describes the nature of a membrane that is made up of several species of lipids. The model will partially simulate the biomembrane through numerical analysis.