Spherical harmonic-based random fields for aggregates used in concrete

Powder Technology

Volumn 166, Issue 3, 2006, Pages 123-138

  Grigoriu, M ^a   Garboczi, E ^b   Kafali, C ^a  

^a Cornell University   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Aggregates; Inclusions; Monte Carlo algorithms; Multi phase materials; Random field models; Spherical harmonic representations

Indexed keywords

CONCRETES; GEOMETRY; INCLUSIONS; MATHEMATICAL MODELS; MONTE CARLO METHODS; STATISTICAL METHODS;

MULTI-PHASE MATERIALS; QUALITATIVE METRICES; RANDOM FIELD MODELS; SPHERICAL HARMONIC REPRESENTATION;

CONCRETE AGGREGATES;

CONCRETE;

CONCRETE AGGREGATES; CONCRETES; GEOMETRY; INCLUSIONS; MATHEMATICAL MODELS; MONTE CARLO METHODS; STATISTICAL METHODS;

ARTICLE; CALIBRATION; GEOMETRY; MODEL; MONTE CARLO METHOD; NORMAL DISTRIBUTION; PERFORMANCE; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS;

EID: 33746532582     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2006.03.026     Document Type: Article

References (29)

1. Douglas J.F., and Garboczi E.J. Intrinsic viscosity and polarizability of particles having a wide range of shapes. Advances in Chemical Physics 91 (1995) 85-153
2. Garboczi E.J., and Douglas J.F. Intrinsic conductivity of objects having arbitrary shape and conductivity. Physical Review E 53 (1996) 6169-6180
3. Mansfield M.L., Douglas J.F., and Garboczi E.J. Intrinsic viscosity and the electrical polarizability of arbitrarily shaped objects. Physical Review E 64 (2001) 61401-61416
4. Torquato S. Random Heterogeneous Materials. Microstructure and Macroscopic Properties (2002), Springer, New York
5. Bentz D.P., Garboczi E.J., Bullard J.W., Ferraris C.F., and Martys N.S. Virtual Testing of Cement and Concrete. Significance of Tests and Properties of Concrete and Concrete-Making Materials, ASTM STP 169D, Philadelphia (2005) Chapter 6
6. Bullard J.W., Ferraris C.F., Garboczi E.J., Martys N.S., and Stutzman P.A. Virtual Cement and Concrete. Innovations in Portland Cement Manufacturing (2004), Portland Cement Association Chapter 10.3
7. D.P. Bentz, E.J. Garboczi, K.A. Snyder, A hard-core/soft-shell microstructural model for studying percolation and transport in three-dimensional composite media. Technical Report NISTIR 6265, National Institute of Science and Techmology, 1999.
8. S.T. Erdogan, P.N. Quiroga, D.W. Fowler, H.A. Saleh, R.A. Livingston, E.J. Garboczi, P.M. Ketcham, J.G. Hagedorn, S.G. Satterfield, Three-dimensional shape analysis of coarse aggregates: methodology and preliminary results on several different coarse aggregates. Cement and Concrete Research (in press).
9. Garboczi E.J. Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: application to aggregates used in concrete. Cement and Concrete Research 32 (2002) 1621-1638
10. Garboczi E.J., and Bullard J.W. Shape analysis of a reference cement. Cement and Concrete Research 34 (2004) 1933-1937
11. Masad E., Saadeh S., Al-Rousan T., Garboczi E.J., and Little D. Computations of particle surface characteristics using optical and X-ray CT images. Journal of Computational Materials Science 34 (2005) 406-424
12. G.S. Cheok, W.C. Stone, E.J. Garboczi. Using LADAR to characterize the 3-D shape of aggregates: preliminary results. Cement and Concrete Research (in press).
13. De Pellegrin D.V., and Stachowiak G.W. Simulation of three-dimensional abrasive particles. Wear 258 (2005) 208-216
14. Gotoh K., and Finney J.L. Representation of the size and shape of a single particle. Powder Technology 12 (1975) 125-130
15. Luerkens D.W. Theory and Application of Morphological Analysis: Fine Particles and Surfaces (1953), CRC Press, Boca Raton, FL
16. Lin C.L., and Miller J.D. 3D characterization and analysis of particle shape using X-ray microtomography (XMT). Powder Technology 154 (2005) 61-69
17. Duncan B.S., and Olson A.J. Approximation and characterization of molecular surfaces. Journal of Computational Chemistry 20 (1999) 383-395
18. Max N.L., and Getzoff E.D. Spherical harmonic molecular surfaces. IEEE Computer Graphics and Applications 8 (1988) 42-50
19. Ritchie D.W., and Kemp G.J.L. Fast computation, rotation, and comparison of low resolution spherical harmonic molecular surfaces. Journal of Computational Chemistry 20 4 (1999) 383-395
20. Hobson E.W. The Theory of Spherical and Ellipsoidal Harmonics (1931), Cambridge University Press, Cambridge
21. Rektorys K. Survey of Applicable Mathematics (1969), The M.I.T. Press, Cambridge, MA
22. Taylor M.A., Garboczi E.J., Erdogan S.T., and Fowler D.W. Some properties of irregular particles in 3-D. Powder Technology 16 (2006) 1-15
23. Grigoriu M. Applied Non-Gaussian Processes: Examples, Theory, Simulation, Linear Random Vibration, and MATLAB Solutions (1995), Prentice Hall, Englewoods Cliffs, NJ
24. Johnson N., and Kotz S. Distributions in Statistics: Continuous Univariate Distributions-2 (1970), Houghton Mifflin Company, Boston, MA
25. Bratley P., Fox B.L., and Schrage L.E. A Guide to Simulation. second edition (1987), Springer-Verlag, New York
26. Garboczi E.J., Snyder J.F., Douglas J.F., and Thorpe M.F. Geometrical percolation threshold of overlapping ellipsoids. Physical Review E 52 (1995) 819-828
27. Grigoriu M. Random field models for two-phase microstructures. Journal of Applied Physics 94 6 (2003) 3762-3770
28. Roberts A.P. Statistical reconstruction of three-dimensional porous media from two-dimensional images. Physical Review E 56 3 (1997) 3203-3212
29. Grigoriu M. System response to partially known input. Journal of Sound and Vibration 273 (2004) 837-855