The phenomenon of wave dispersion in dry sand is studied both by purely analytical studies and by analytical-numerical experiments on the basis of gradient elastic and viscoelastic material models. These material models are employed in order to simulate the microstructural characteristics of dry san
Wave dispersion in dry granular materials by the distinct element method
β Scribed by Constantine N. Thomas; Sophia Papargyri-Beskou; George Mylonakis
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 664 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0267-7261
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β¦ Synopsis
Numerical studies are conducted to investigate the existence of wave dispersion in resonant column tests on dry granular soil. To this end, the two-dimensional distinct element method (DEM) in the time domain is employed. The investigations focus on the effect of sample width, voids ratio, viscous damping and wavelength, on propagation velocities of longitudinal harmonic waves in rectangular samples of uniform grains. It is shown that granular materials may exhibit anomalous dispersion that is, wave velocities that increase with increasing excitation frequency. This increase may exceed 20% for squatty samples, but becomes less pronounced for slender samples. Similar findings have been reported in some experiments on granular materials, but have not been systematically explored by numerical means. Results are presented in the form of dimensionless graphs and charts that elucidate the salient features of the problem. Comparisons with findings from gradient elastodynamic and viscoelastic theories are discussed.
π SIMILAR VOLUMES
Harmonic wave propagation in shells and rods of infinite length is studied. Relations for a finite element model are derived in both Cartesian and cylindrical co-ordinates for the general anisotropy of a linearly elastic material. It is shown that the strain energy of a harmonic wave is not dependen
Wave propagation in granular materials is numerically studied through discrete element simulation. Two-dimensional (2-D) model material systems composed of large numbers of circular particles were numerically generated. The particles in these model materials were randomly distributed with a biasing