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The effect of elastic inhomogeneity on equilibrium and stability of a two particle morphology

Schmidt, Ingo ; Müller, R. ; Gross, D. (1998)
The effect of elastic inhomogeneity on equilibrium and stability of a two particle morphology.
In: Mechanics of Materials, 30 (3)
doi: 10.1016/S0167-6636(98)00047-7
Article, Bibliographie

Abstract

The influence of elastic inhomogeneity on the precipitate morphology in a phase separating alloy, which is stressed due to the particle misfit, is investigated by calculating equilibrium shapes of two interacting inclusions in an orthotropic system. The method of computation is based on a variational formulation, involving Eshelby's notion of a `force on an interface' and a boundary integral formulation of the associated linear elasticity problem. We find that the elastic inhomogeneity strongly affects both geometry and stability of equilibrium morphologies. Specifically, we find that, contrary to the homogeneous case, a two particle system can be an energetic minimum, implying the possibility of inverse coarsening.

Item Type: Article
Erschienen: 1998
Creators: Schmidt, Ingo ; Müller, R. ; Gross, D.
Type of entry: Bibliographie
Title: The effect of elastic inhomogeneity on equilibrium and stability of a two particle morphology
Language: English
Date: 16 November 1998
Publisher: Elsevier
Journal or Publication Title: Mechanics of Materials
Volume of the journal: 30
Issue Number: 3
DOI: 10.1016/S0167-6636(98)00047-7
Abstract:

The influence of elastic inhomogeneity on the precipitate morphology in a phase separating alloy, which is stressed due to the particle misfit, is investigated by calculating equilibrium shapes of two interacting inclusions in an orthotropic system. The method of computation is based on a variational formulation, involving Eshelby's notion of a `force on an interface' and a boundary integral formulation of the associated linear elasticity problem. We find that the elastic inhomogeneity strongly affects both geometry and stability of equilibrium morphologies. Specifically, we find that, contrary to the homogeneous case, a two particle system can be an energetic minimum, implying the possibility of inverse coarsening.

Divisions: Study Areas
13 Department of Civil and Environmental Engineering Sciences
13 Department of Civil and Environmental Engineering Sciences > Mechanics
13 Department of Civil and Environmental Engineering Sciences > Mechanics > Continuum Mechanics
Study Areas > Study Area Mechanic
Date Deposited: 19 Nov 2008 16:21
Last Modified: 04 May 2022 10:00
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