On connections between 3-d microstructures and their 2-d images
Source abstract
Abstract
The problem of recovery of three-dimensional microstructural parameters from two-dimensional images is addressed in its inverse form. Three-dimensional inhomogeneous solids with known microstructures are generated virtually and images of their cross-sections are analyzed. Three different types of randomly oriented microcracks and microcracks having preferential orientation with some scatter. Somewhat unexpected result is that, in all the cases considered, three-dimensional defect densities are very close to average values of corresponding two-dimensional parameters.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Cellular and Composite Structures · Composite Material Mechanics · 3D Shape Modeling and Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (14)
Show source-provided references
1. Bentz, D.P. and Martys, N.S. (1995) Hydraulic Radius and Transport in Reconstructed Model Three Dimensional Porous Media Transport in Porous Media, 17 (3) 221–238.10.1007/BF00613583 ↗
2. Bentz, D.P., Martys, N.S., Stutzman, P., Levenson, M.S., Garbotzi, E.J., Dinsmuir, J., Schwartz, L.M. (1995) X-ray microtomography of an ASTM C–109 mortar exposed to sulfate attack. In: Microstructure of Cement-Based Systems. Ed. By S. Diamond et al. 77-82.10.1557/PROC-370-77 ↗
3. Flannery, B.P., Deckman, H.W, Roberge, W.G., and D'Amico, K.L. (1987) Three-dimensional X-ray microtomography, Science 237, 1439–1443.10.1126/science.237.4821.1439 ↗
4. Joshi, M. (1974) A class of stochastic models for porous media, PhD Thesis, University of Kansas.
5. Kachanov, M. (1980), “Continuum Model of Medium with Cracks,” Journal of the Engineering Mechanics Division, ASCE, 106, 1039–1051.10.1061/JMCEA3.0002642 ↗
6. Kachanov, M. and Sevostianov, I. (2004) on quantitative characterization of microstructures, effective properties and fabric tensors. Int. J. Solids Struct. (in press).
7. Kachanov, M., Tsukrov, I. and Shafiro, B. (1994) Effective moduli of solids with cavities of various shapes. Appl. Mech. Reviews 47(1), S151–S174.10.1115/1.3122810 ↗
8. Meille, S. and Garboczi, E.J. (2001) Linear elastic properties of 2-D and 3-D models of porous materials made from elongated objects. Mod. Sim. Mater. Sci. 9, 1-2010.1088/0965-0393/9/1/301 ↗
9. Quiblier J. (1984)A new three dimensional modeling technique for studying porous media. Joural of Colloid and Interface Science 98, 84-9410.1016/0021-9797(84)90481-8 ↗
10. Russ J.C. and Dehoff R.T. (2000) Practical stereology, Kluwer.10.1007/978-1-4615-1233-2 ↗
11. Sevostianov, I. (2003) Explicit relations between elastic and conductive properties of a material containing annular cracks. Phil. Trans.: Math, Phys. Eng. Sci, 361, 987–999.10.1098/rsta.2003.1176 ↗
12. Sevostianov, I., Kováčik, J. and Simančík, F. (2002) Cross-property correlation for metal forams: theory and experiment. International Journal of Fracture, 114, L23–L28.10.1023/A:1022674130262 ↗
13. Sevostianov, I., Kachanov, M., Ruud, J., Lorraine, P., Dubois, M. (2003) Microchemical analysis of plasma sprayed TBC: anisotropic elastic and conductive properties in terms of microstructure. Experimental verification on YSZ coatings. In: Thermal Spray 2003: Advancing the Science and Applying the Technology. Ed. By B.R. Marple and C. Moreau. 1557–1563.10.31399/asm.cp.itsc2003p1557 ↗
14. Sevostianov, I. and Kachanov, M. (2002a) Explicit cross-property correlations for anisotropic two-phase composite materials J. Mech. Phys. Solids, 50 , 2002, 253–282.10.1016/S0022-5096(01)00051-5 ↗