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Article
Fractals, Fractures, and Size Effects in Concrete
Journal of Engineering Mechanics
  • Victor E. Saouma
  • Christopher C. Barton, Wright State University - Main Campus
Document Type
Article
Publication Date
4-1-1994
Abstract

Correlation between fractal dimensions and fracture properties in cementitious material is reported. Wedge splitting tests of specimens as much as 1.52 m (5 ft) long and having 7.62‐cm (3‐in.) maximum size aggregate were first performed to determine fracture toughness KIc and fracture energy GF. Subsequently, one of the split parts was mapped using a profilometer to provide detailed one‐dimensional profiles. Finally, the fractal dimension of the profiles was determined by a specially developed computer program. The fracture surfaces are fractal over the measured range of scales, and the fractal dimension is independent of crack trajectory. There is a weak correlation between the fracture properties and the fractal dimensions. The implications of the fractal nature of the cracked surfaces on the fracture energy GF are discussed, as is the relationship between a fractal analysis and the size effect law.

DOI
10.1061/(ASCE)0733-9399(1994)120:4(835)
Citation Information
Victor E. Saouma and Christopher C. Barton. "Fractals, Fractures, and Size Effects in Concrete" Journal of Engineering Mechanics Vol. 120 Iss. 4 (1994) p. 835 - 854 ISSN: 0733-9399
Available at: http://works.bepress.com/christopher_barton/46/