Modeling of Porous Rock: Digitization and Finite Elements Versus Approximate Schemes Accounting for Pore Shapes
Source abstract
Abstract
We consider connections between microstructure and elastic properties of porous/microcracked materials on the example of Fontainebleau sandstone. The microstructural information (average shapes of pores) required for adequate modeling of the isotropic elastic properties is identified. It is shown that, if this information is utilized, the usual effective media schemes provide satisfactory predictions of the effective elastic properties.
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Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Rock Mechanics and Modeling
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References (14)
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1. Arns Ch.H, Knackstedt M., Pinczewski W., Garboczi E. (2002) Computation of linear elastic properties from micrographic images: Methodology and agreement between theory and experiment. Geophysics, 67, 1396-140510.1190/1.1512785 ↗
2. Benveniste Y. (1986) On the Mori-Tanaka’s method in cracked bodies. Mechanics Research Communications, 13, 193-20110.1016/0093-6413(86)90018-2 ↗
3. Coker D., Torquato S., Dunsmuir J. (1996) Morphological and Physical Properties of Fountainebleu Sandstone from Tomographic Analysis. Journal of Geophysical Research, 100: 1749710.1029/96JB00811 ↗
4. Hill R. (1965). A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids, 13 213-22210.1016/0022-5096(65)90010-4 ↗
5. Kachanov M., Sevostianov I. (2005) On quantitative characterization of microstructures and effective properties. International Journal of Solids and Structures 42, 309-33610.1016/j.ijsolstr.2004.06.016 ↗
6. Laraia V., Rus I., Heuer A. (1994) Microstructural shape factors: relation of random planar section to three dimensional microstructures. Journal of American Ceramic Society, 78, 1532-3610.1111/j.1151-2916.1995.tb08848.x ↗
7. Markov, K. (2000). Elementary micromechanics of heterogeneous media. In: Heterogeneous Media: Micromechanics Modeling Methods and Simulations, Markov, K.Z. and Preziozi, L. (eds), Birkhauser, Boston, 1-162.10.1007/978-1-4612-1332-1_1 ↗
8. McLaughlin R. (1977). A study of the differential scheme for composite materials. International Journal of Engineering Science. 15, 237-4410.1016/0020-7225(77)90058-1 ↗
9. Mori T., Tanaka K. (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, 21, 571-7410.1016/0001-6160(73)90064-3 ↗
10. Prokopiev O., Sevostianov I. (2006) On the possibility of approximation of irregular porous microstructure by isolated spheroidal pores. International Journal of Fracture 139, 129-13610.1007/s10704-006-8370-9 ↗
11. Sevostianov I., Kováčik J., Simančík (2006). Elastic and electric properties of closed-cell aluminium foams Cross-property connection. Materials Science and Engineering A. 420: 87-9910.1016/j.msea.2006.01.064 ↗
12. Skorokhod, V. (1961). Calculation of the effective isotropic moduli of disperse solid systems, Poroshkovaja Metallurgija (Powder Metallurgy) 1, 50-55. (in Russian).
13. Torquato S. (1999) Modeling of physical properties of composite materials. International Journal of Solids and Structures, 37, 411-42210.1016/S0020-7683(99)00103-1 ↗
14. Zimmerman R. (1991). Elastic moduli of a solid containing spherical inclusions. Mechanics of Materials. 12, 17-2410.1016/0167-6636(91)90049-6 ↗