..., among which is the fractal method. These methods, however, are applied either at the scale of particle shape or surface texture. A framework unifying the multi-scale morphology obtained from different measuring instruments could advance the current understanding to this topic, but is still lacking...

... use, distribution, and reproduction in any medium, provided the original work is properly cited. compressibility discrete-element modelling fractals particle crushing/crushability particle-scale behaviour It is well known that particle crushing has a major influence on the physical...

..., roundness and fractal dimension were introduced to define the global form, local features and surface textures of the particle morphology. Based on the spherical harmonic–reconstructed surface, a novel framework was established to measure the descriptors of 3D sphericity, roundness and fractal dimension...

... of morphology parameters during loading was found to depend on the fracture mechanisms and material properties, independently of their initial values. The fragments of both the LBS and HDG particles satisfy the fractal distribution, which indicates that the fragmentation is scale invariant. Different energy...

...A. KHOSHGHALB; A.Y. PASHA; N. KHALILI A fractal-based approach for volume change dependency of the water retention curve in a deformable unsaturated soil is presented. Conservation laws of solid mass and solid surface for uncrushable grains and Eshelby's classical theory for load–deformation...

... surface area must remain constant and equal to particle surface area. Here, focusing on fractal soils, by setting particle and pore surface areas equal and constant, analytical derivations are presented linking all parameters defining SWCCs to particle and pore geometry information, size distributions...

... gradings for sheared material had higher fractal dimensions, indicating that the gradings were finer, and morphological changes in particle shape were more significant. Steady-state gradings tended to be multi-fractal in nature rather than mono-fractal, and showed that a unique monotonic steady-state...

... and the slope of the normal compression line is investigated. Using the discrete-element method, compression is related to the evolution of a fractal distribution of particles. The compression index is found to be solely a function of the strengths of the particles as a function of size. * University...

... Thomas Telford Ltd 2013 compressibility discrete-element modelling fractals particle-scale behaviour sands silts The behaviour of granular materials is affected by their particle-size distribution (PSD). Different PSDs can be obtained in the laboratory as a result of particle breakage...

...A.R. RUSSELL; O. BUZZI A soil-water characteristic curve with hydraulic hysteresis is derived using fractals by treating pores as either bodies or throats. As suction is increased along the main drying curve, drying of a body is controlled by the largest throat connected to it. As suction...

... of cracks in clays and rocks as a result of high temperatures, evaluated using the fractal dimension concept. 29 04 2008 19 11 2008 © 2009 Thomas Telford Ltd 2009 clays fractals laboratory tests rock/rock mechanics Clay is used as part of landfills (Bonaparte, 1995...

...A. Tarantino; A. F. L. Hyde Using simple direct shear tests on a carbonate sand, an experimental validation has been provided for the Taylor work dissipation equation, modified to include a term for particle breakage. The shear tests have been carried out on monogranular and fractal grain size...