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Effect of cyclic shearing on shear localisation in granular bodies

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Abstract.

Cyclic shearing of an infinite narrow layer of dry and cohesionless sand between two very rough boundaries under constant vertical pressure is numerically modelled with the finite element method using a polar hypoplastic constitutive relation. The constitutive relation was obtained through an extension of a non-polar model by polar quantities, viz. particle rotations, curvatures, couple stresses using the mean grain diameter as a characteristic length. The proposed model captures the essential mechanical features of granular bodies in a wide range of densities and pressures with a single set of constants. The material constants can be easily determined from granulometric properties and laboratory tests. The attention of numerical simulations is laid on the influence of number of cycles on the thickness of an induced shear zone for both an initially dense and loose granular specimen. In addition, the effect of a stochastic distribution of the initial void ratio on shear localisation is demonstrated.

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Authors and Affiliations

  1. Civil Engineering Department, Technical University of Gdansk, PL-80952, Gdańsk, Poland

    J. Tejchman

  2. Institute of General Mechanics, Graz University of Technology, A-8010, Graz, Austria

    E. Bauer

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  1. J. Tejchman
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  2. E. Bauer
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KeywordsGranular material, Cyclic shearing, Polar hypoplasticity, Finite element method, Shear localisation

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Tejchman, J., Bauer, E. Effect of cyclic shearing on shear localisation in granular bodies. GM 5, 201–212 (2004). https://doi.org/10.1007/s10035-003-0135-9

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  • DOI: https://doi.org/10.1007/s10035-003-0135-9

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