Abstract
Volumetric images of small mortar samples under load are acquired by X-ray microtomography. The images are binarized at many different threshold values, and over a million connected components are extracted at each threshold with a new, space and time efficient program. The rapid increase in the volume and surface area of the foreground components (cracks and air holes) is explained in terms of a simple model of digitization. Analysis of the data indicates that the foreground consists of thin, convoluted manifolds with a complex network topology, and that the crack surface area, whose increase with strain must correspond to the external work, is higher than expected.
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References
J.G.M. van Mier, Fracture Processes of Concrete, CRC Press, New York, 1997.
Z.P. Bazant, Analysis of Work-of-Fracture Method for Measuring Fracture Energy of Concrete. Journal of Engineering Mechanics, 122(2), 138–144, 1996.
S.P. Shah, ed., Toughening mechanisms in quasi-brittle materials, Kluwer-Academic, Dordrecht 1990.
S.P. Shah, S.E. Swartz, C. Ouyang, Fracture mechanics of concrete: applications of fracture mechanics to concrete, rock, and other quasi-brittle materials, Wiley, New York, (1995).
F.O. Slate, S. Olsefski, X-ray study of internal structure and microcracking of concrete, J.Am. ConcreteInst.60,5,pp.575–588,1963
Flannery, B. P., Deckman, H. W., Roberge, W. G., and D’Amico, K. L. (1987) Three-Dimensional X-ray Microtomography. Science, 237, 1439–1444.
H. W. Deckman, J. H. Dunsmuir, K.L. D’Amico, S.R. Ferguson, B.P. Flannery, Development of Quantitative X-ray Microtomography. Materials Research Society Symposium Proceedings, 217, 97–110, 1991.
E. N. Landis, E. N. Nagy, D. T. Keane and N. Huynh, Observations of Internal Fracture in Mortar using X-Ray Microtomography, Proceedings of the ASCE Engineering Mechanics Specialty Conference, Ft. Lauderdale, FL, May, 637–640, 1996.
E. N. Landis, E. N. Nagy, D. T. Keane and S. P. Shah, Observations of Internal Crack Growth in Mortar using X-ray Microtomography, in Proceedings of the 2nd International Conference on Nondestructive Testing of Concrete in the Infrastructure, June 12-14, Nashville, TN, Society for Experimental Mechanics, 54–59, 1996.
E. N. Landis, E. N. Nagy and D. T. Keane, Microtomographic Measurements of Internal Damage in Portland Cement-Based Composites, Journal of Aerospace Engineering, V. 10, No. 1, 2–6, 1997.
E. N. Nagy and E. N. Landis, Analysis of Microtomographic Images to Measure Work of Fracture in Concrete, in Review of Progress in Quantitative Nondestructive Evaluation 16, D. O. Thompson and D. E. Chimenti, Eds., Plenum Press, New York, 1761–1766, 1997.
E. N. Nagy and E. N. Landis, Energy-Microcrack Growth Measurements for Mortar Cylinders in Compression, in Nondestructive Characterization of Materials in Aging Systems, R. Crane, Eds., Materials Research Society, 1998.
E.N. Landis, E.N. Nagy, D.T. Keane, G. Nagy, A technique to measure three-dimensional work-of-fracture in concrete, Journal of Engineering Mechanics 126, 6, pp. 599–605, June 1999.
C. Ronse and P.A. Devijver, Connected components in binary images: the detection problem, Research Studies Press, Letchworth, England, 1984.
H. Samet, Applications of Spatial Data Structures, Addison-Wesley 1989.
G. Borgefors, I. Nystrom, G. Sanniti de Baja, Connected components in 3D neighborhoods, Procs. 10th Scandinavian Conf. on Image Analysis (SCIA’97), 557–570, Helsinki 1997.
W.J. Schroeder, Geometric triangulation with application to fully 3-D automatic mesh generation. PHD dissertation, Rensselaer Polytechnic Institute, Troy, NY May 1991.
L.L. Schumaker, Triangulations in CAGD, IEEE Computer Graphics and Applications 13, 1, 47–52, 1993.
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Nagy, G., Zhang, T., Franklin, W., Landis, E., Nagy, E., Keane, D.T. (2001). Volume and Surface Area Distributions of Cracks in Concrete. In: Arcelli, C., Cordella, L.P., di Baja, G.S. (eds) Visual Form 2001. IWVF 2001. Lecture Notes in Computer Science, vol 2059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45129-3_70
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DOI: https://doi.org/10.1007/3-540-45129-3_70
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