Three-dimensional shape analysis of coarse aggregates : New techniques for and preliminary results on several different coarse aggregates and reference rocks

The shape of aggregates used in concrete is an important parameter that helps determine many concrete properties, especially the rheology of fresh concrete and early-age mechanical properties. This paper discusses the sample preparation and image analysis techniques necessary for obtaining an aggregate particle image in 3-D, using X-ray computed tomography, which is then suitable for spherical harmonic analysis. The shapes of three reference rocks are analyzed for uncertainty determination via direct comparison to the geometry of their reconstructed images. A Virtual Reality Modeling Language technique is demonstrated that can give quick and accurate 3-D views of aggregates. Shape data on several different kinds of coarse aggregates are compared and used to illustrate potential mathematical shape analyses made possible by the spherical harmonic information.

[1]  M. Grigoriu,et al.  Spherical harmonic-based random fields for aggregates used in concrete , 2006 .

[2]  R. Bywater,et al.  A quantitative representation of molecular surface shape. I: Theory and development of the method , 1994 .

[3]  Philippe Flajolet,et al.  Fast Computation , 2007 .

[4]  Joseph Revelli,et al.  The Image Processing Handbook, 4th Edition , 2003, J. Electronic Imaging.

[5]  Avinash C. Kak,et al.  Principles of computerized tomographic imaging , 2001, Classics in applied mathematics.

[6]  Edward J. Garboczi.  Tying Together Theory and Tests via Virtual Testing. , 2006 .

[7]  D. Fowler,et al.  THE EFFECTS OF AGGREGATES CHARACTERISTICS ON THE PERFORMANCE OF PORTLAND CEMENT CONCRETE , 2003 .

[8]  David W. Fowler,et al.  Some properties of irregular 3-D particles , 2006 .

[9]  Garboczi,et al.  Intrinsic conductivity of objects having arbitrary shape and conductivity. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  E. Garboczi,et al.  Intrinsic viscosity and the electrical polarizability of arbitrarily shaped objects. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  D. Fowler,et al.  THE EFFECT OF AGGREGATE CHARACTERISTICS ON THE PERFORMANCE OF PORTLAND CEMENT CONCRETE , 2001 .

[12]  E. Garboczi,et al.  Intrinsic Viscosity and the Polarizability of Particles Having a Wide Range of Shapes , 2007 .

[13]  John C. Russ,et al.  The Image Processing Handbook , 2016, Microscopy and Microanalysis.

[14]  E. Garboczi.  Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: Application to aggregates used in concrete , 2002 .

[15]  David W. Luerkins.  Theory and Application of Morphological Analysis: Fine Particles and Surfaces , 1991 .

[16]  G. Pólya,et al.  Isoperimetric inequalities in mathematical physics , 1951 .

[17]  Graham J. L. Kemp,et al.  Fast computation, rotation, and comparison of low resolution spherical harmonic molecular surfaces , 1999, J. Comput. Chem..

[18]  I. Gibson.  Statistics and Data Analysis in Geology , 1976, Mineralogical Magazine.

[19]  Snyder,et al.  Geometrical percolation threshold of overlapping ellipsoids. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  David W. Fowler,et al.  Determination of Aggregate Shape Properties Using X-ray Tomographic Methods and the Effect of Shape on Concrete Rheology , 2005 .

[21]  Dallas N. Little,et al.  Computations of particle surface characteristics using optical and X-ray CT images , 2005 .

[22]  Michael A. Taylor,et al.  Quantitative measures for shape and size of particles , 2002 .