Fractal and Fractional in Geomaterials

• Other Authors: Sun, Yifei (Editor), Chen, Cheng (Editor), Goudarzy, Meisam (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Technology: general issues; History of engineering & technology; nuclear magnetic resonance; pore size distribution; fractal dimension; grain size; calcareous sand; quartz sand; deformation conditions; relative permeability coefficient; air-entry value; void ratio; model; saturated permeability coefficient; maximum pore; comprehensive proportionality constant; fractional derivative; fractional diffusion equation; fractional advection-dispersion equation; solute transport; porous media; soil-structure interaction; fractional plasticity; cyclic loads; soil-rock mixture; fractal theory; particle distribution; scale effect; discrete element model; particle size distribution; critical state; shear characteristic; frozen-thawed soft clay; fractal characteristics; NMR; pore structure; artificial ground freezing; laterally loaded piles; cyclic loading; unsaturated soil; pile-soil interaction; model tests; particle image velocimetry; anisotropic stress; Hostun sand; resonant column; maximum shear modulus; fines content; equivalent granular void ratio; hydraulic gradient; random field; hydraulic conductivity; porosity; concrete-rock ITZ; permeability; granular materials; particle breakage; relative density; grading curve; discrete element method; ballast; PSD evolution; soft soil; SEM; microstructure; cumulative strain; effective particle diameter; fractal entropy; abstract interval; hydraulic coefficient; n/a
• Online Access: DOAB: download the publication; DOAB: description of the publication

This reprint focuses on the recent progress on fractal and fractional methods in characterizing the physical and mechanical behaviors of geomaterials. Special attention is given to the fractal laws for contact networks/pore structures in soft and granular soils, numerical and theoretical aspects of fractional mechanics for geomaterial with local/nonlocal deformation, anomalous diffusion and conduction phenomena, among others.