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Effect of Grain Crushing on Shear Localization in Granular Bodies within Micro-Polar Hypoplasticity

Tejchman J.

Archives of Hydro-Engineering and Environmental Mechanics

2010

Vol. 57, nr 1

3-30

The paper deals with the effect of grain crushing on shear localization in granular materials in an infinite long narrow granular strip under constant vertical pressure. The calculations were carried out with an enhanced micro-polar hypoplastic constitutive model which is able to describe the salient properties of crushable granular bodies including shear localization. The change of the mean grain diameter with varying pressure was taken into account with the help of formulae from breakage mechanics. The effect of pressure and initial void ratio on shear localization was studied.

Size Effects in Problems of Footings on Sand within Micro-Polar Hypoplasticity

Tejchman J., Górski J.

Archives of Hydro-Engineering and Environmental Mechanics

2008

Vol. 55, nr 3-4

95-124

Numerical FE investigations of size effects in problems of footings on sand were performed. Micro-polar hypoplastic constitutive model was used to describe a mechanical behaviour of a cohesionless granular material during a monotonic deformation path. The FE analyses were carried out with three different footing widths. In deterministic calculations, a uniform distribution of initial void ratio was used. In statistical calculations, initial void ratios took the form of random spatial fields described by a truncated Gaussian random distribution. In order to reduce the number of stochastic realizations without sacrificing the accuracy of the calculations, a stratified sampling method was applied. The numerical results were compared with corresponding laboratory tests by Tatsuoka et al (1997). The numerical results show that the bearing capacity of footings decreases with increasing specimen size. If the initial void ratio is stochastically distributed, the mean bearing capacity of footings may be larger than the deterministic value. The statistical size effect is smaller than the deterministic one.

Stochastic FE-analysis of shear localization in 2D granular material within a micro-polar hypoplasticity

Tejchman J., Górski J.

Archives of Hydro-Engineering and Environmental Mechanics

2006

Vol. 53, nr 4

353-379

The paper deals with investigations of the effect of the stochastic distribution of the initial void ratio in granular bodies on shear localization during shearing of an infinite granular layer 500 mm high with free dilatancy under plane strain conditions. The initial void ratio was assumed to be stochastic with a correlated random field generated by a conditional rejection method by Walukiewicz et al (1997). To simulate mechanical behaviour of a cohesionless granular material during a monotonous deformation path, a micro-polar hypoplastic constitutive law was used, which takes into account particle rotations, curvatures, non-symmetric stresses, couple stresses and the mean grain diameter as a characteristic length. The proposed model captures the salient mechanical features of granular bodies in a wide range of densities and pressures with a single set of constants. In addition, the comparative FE-analyses were carried out with a uniform and spatially non-correlated random fields of the initial void ratio.