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# Part III Chapter 4. Microstructural Development and Probes

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This chapter covers models, in 2-D and 3-D, for simulating the development of microstructure and for probing the developing microstructure. These models include computing the curvature of digital surfaces, simulating sintering, and simulating mercury porosimetry.

This section discusses how to compute curvatures in 3D, and then applies the curvature algorithm to simulating sintering in 2D. The model is surface-attachment-limited in its kinetics, and used a square template method of measuring local curvature.

This section discusses application of the digital-image based sintering model to three dimensions. It is surface-attachment-limited in its kinetics, and used a spherical template method of measuring local curvature.

This section examines the theoretical underpinnings of the template method of curvature computation, in 2D and 3D, for an arbitrary surface.

This section discusses modelling of mercury injection in two dimensions. There is a description of the basic algorithm, and several applications.

This section discusses the validity of the Katz-Thompson approach for modelling the permeability of porous materials using parameters measured using mercury injection.

This section discusses obtaining three-dimensional brick microstructures from x-ray tomography, and then computing various transport properties to compare with experimental measurements, to see how well the tomographic image compares with real microstructure.

This section discusses reconstruction techniques, wherein a 2-D slice of a material is used to generate a 3-D approximate image of the material. The limitations of this technique is explored used a 3-D model, whose microstructure is exactly known. The 3-D reconstructured microstructure is then compared to the known 3-D microstructure both visually, and using percolation and transport properties.

Go back to Part III Chapter 3. Percolation theory

References

(1) P.J.P. Pimienta, W.C. Carter, and E.J. Garboczi, Computational Materials Science 1, 63-77 (1992).
(2) D.P. Bentz, P.J.P. Pimienta, E.J. Garboczi, and W.C. Carter, in Synthesis and Processing of Ceramics: Scientific Issues, edited by W.E. Rhine, T.M. Shaw, R.J. Gottschall, and Y. Chen (Materials Research Society Vol. 249, Pittsburgh, 1992), pp. 413-418.
(3) J.W. Bullard, E.J. Garboczi, W.C. Carter, and E.R. Fuller, Computational Materials Science 4, 103-116 (1995).
(4) E.J. Garboczi and D.P. Bentz, in Advances in Cementitious Materials, edited by S. Mindess, Ceramics Transactions 16, 365-380 (1991).
(5) E.J. Garboczi, Powder Technology 67, 121 (1991).
(6) D.P. Bentz, D.A. Quenard, H.M. Kunzel, J. Baruchel, F. Peyrin, N.S. Martys, and E.J. Garboczi, Materials and Structures, 33 , 147-153 (2000).
(7) D.P. Bentz and N.S. Martys, Transport in Porous Media 17, 221-238 (1995).