Modelling the mechanical strength of fractal aggregates

作者: S Tang , Y Ma , C Shiu

DOI: 10.1016/S0927-7757(00)00743-3

关键词: Composite materialPorosityCompressive strengthUltimate tensile strengthMaterials scienceWork (thermodynamics)Fractal dimensionFractalCharacteristic lengthAggregate (composite)

摘要: Abstract Variations in the mechanical strength of aggregates with aggregate cross-sectional area have been modelled this work. The fractal structures were considered conjunction fundamental mechanisms formation and rupture during modelling. A quantitative expression porosity characteristic length terms dimensions was derived from dimensional analysis. Predictions Rumpf's equation demonstrated that tensile strengths decreased increasing area. An experimentally determined function introduced into model to account for effect on strengths, enabling one predict compression aggregates. predictions agree well experimental data measured latex when compressed between two parallel plates.

参考文章(21)
Terence Allen, Particle size measurement ,(1968)
Andrew Harrison, Fractals in Chemistry ,(1995)
S. A. Hannah, J. M. Cohen, G. G. Robeck, Control Techniques for Coagulation‐Filtration Journal American Water Works Association. ,vol. 59, pp. 1149- 1163 ,(1967) , 10.1002/J.1551-8833.1967.TB03502.X
R.J. François, Strength of aluminium hydroxide flocs Water Research. ,vol. 21, pp. 1023- 1030 ,(1987) , 10.1016/0043-1354(87)90023-6
N TAMBO, Physical characteristics of flocs—II. Strength of floc Water Research. ,vol. 13, pp. 421- 427 ,(1979) , 10.1016/0043-1354(79)90034-4
S. Tang, C. M. McFarlane, G. C. Paul, C. R. Thomas, Characterising latex particles and fractal aggregates using image analysis Colloid and Polymer Science. ,vol. 277, pp. 325- 333 ,(1999) , 10.1007/S003960050388