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Fractal and Fractional in Geomaterials

Fractal and Fractional in Geomaterials

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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.

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Keywords

  • abstract interval
  • air-entry value
  • anisotropic stress
  • artificial ground freezing
  • ballast
  • calcareous sand
  • comprehensive proportionality constant
  • concrete–rock ITZ
  • critical state
  • cumulative strain
  • cyclic loading
  • cyclic loads
  • deformation conditions
  • discrete element method
  • Discrete Element Model
  • effective particle diameter
  • equivalent granular void ratio
  • fines content
  • fractal characteristics
  • fractal dimension
  • fractal entropy
  • fractal theory
  • fractional advection–dispersion equation
  • fractional derivative
  • fractional diffusion equation
  • fractional plasticity
  • frozen–thawed soft clay
  • grading curve
  • grain size
  • granular materials
  • History of engineering & technology
  • Hostun sand
  • hydraulic coefficient
  • hydraulic conductivity
  • hydraulic gradient
  • laterally loaded piles
  • maximum pore
  • maximum shear modulus
  • Microstructure
  • Model
  • model tests
  • n/a
  • NMR
  • nuclear magnetic resonance
  • particle breakage
  • particle distribution
  • particle image velocimetry
  • particle size distribution
  • Permeability
  • pile–soil interaction
  • pore size distribution
  • pore structure
  • porosity
  • Porous media
  • PSD evolution
  • quartz sand
  • random field
  • relative density
  • relative permeability coefficient
  • resonant column
  • saturated permeability coefficient
  • scale effect
  • SEM
  • shear characteristic
  • soft soil
  • soil–rock mixture
  • soil–structure interaction
  • solute transport
  • Technology, engineering, agriculture
  • Technology: general issues
  • unsaturated soil
  • void ratio

Links

DOI: 10.3390/books978-3-0365-7055-6

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