Interplay of Capillary and Elastic Driving Forces During Microstructural Evolution: Applications of a Digital Image Model

Published

April 1, 1998

Author(s)

J W. Bullard, W Carter, Edward Garboczi

Abstract

A recently developed model of curvature-driven, two-dimensional microstructure evolution is modified to include elastic strain energy at solid-fluid interfaces as an additional driving force for mass transport. Local phase distributions within a digital image of the microstructure are used to interpolate an iso-potential contour that represents the equivalent sharp surface [ESS], along which local properties such as curvature are calculated. To determine the strain energy distribution, a finite element method is employed, using the pixel grid as the mesh. Interface-reaction-controlled mass transport is simulated using a finite different approach along the interface. Calculations of the strain energy density and chemical potential distributions within simple systems show reasonable agreement with analytical results, and the predicted stability and evolution of such systems also agree with the predictions of other investigators. The model is also applied to a more complex system for which neither analytical nor other numerical methods can be readily used, and useful quantitative information is obtained on the energetics and structural changes.

Citation

Journal of Applied Physics

Volume

83

Issue

No. 8

Pub Type

Journals

Keywords

ceramics, curvature, finite element, microstructure, model, sintering

Citation

Bullard, J. , Carter, W. and Garboczi, E. (1998), Interplay of Capillary and Elastic Driving Forces During Microstructural Evolution: Applications of a Digital Image Model, Journal of Applied Physics (Accessed April 24, 2024)