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2017 | OriginalPaper | Chapter

Investigations of Vortex-Structures in Granular Bodies Based on DEM and Helmholtz-Hodge Flow Field Decomposition

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Abstract

The paper presents some two-dimensional simulation results of vortex-structures in cohesionless initially dense sand during a quasi-static passive wall translation. The sand behaviour was simulated using the discrete element method (DEM). Sand grains were modelled by spheres with contact moments to approximately capture the irregular grain shape. In order to detect vortex-structures, the Helmholtz-Hodge decomposition of a flow displacement field from DEM calculations was used. This approach enabled us to distinguish both incompressibility and vorticity in the granular displacement field.

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Literature
1.
go back to reference Abedi, S., Rechenmacher, A.L., Orlando, A.D.: Vortex formation and dissolution in sheared sands. Granul. Matter 14, 695–705 (2012)CrossRef Abedi, S., Rechenmacher, A.L., Orlando, A.D.: Vortex formation and dissolution in sheared sands. Granul. Matter 14, 695–705 (2012)CrossRef
2.
go back to reference Bhatia, H., Pascucci, V.: The Helmholtz-Hodge decomposition—a survey. IEEE Trans. Visual Comput. Graph. 19(8), 1386–14404 (2013)CrossRef Bhatia, H., Pascucci, V.: The Helmholtz-Hodge decomposition—a survey. IEEE Trans. Visual Comput. Graph. 19(8), 1386–14404 (2013)CrossRef
3.
go back to reference Kozicki, J., Donze, F.V.: A new open-source software developed for numerical simulations using discrete modelling methods. Comput. Methods Appl. Mech. Eng. 197, 4429–4443 (2008)CrossRefMATH Kozicki, J., Donze, F.V.: A new open-source software developed for numerical simulations using discrete modelling methods. Comput. Methods Appl. Mech. Eng. 197, 4429–4443 (2008)CrossRefMATH
4.
go back to reference Kozicki, J., Tejchman, J., Műhlhaus, H.B.: Discrete simulations of a triaxial compression test for sand by DEM. Int. J. Num. Anal. Methods Geomech. 38, 1923–1952 (2014)CrossRef Kozicki, J., Tejchman, J., Műhlhaus, H.B.: Discrete simulations of a triaxial compression test for sand by DEM. Int. J. Num. Anal. Methods Geomech. 38, 1923–1952 (2014)CrossRef
5.
go back to reference Kozicki, J., Tejchman, J.: DEM investigations of two-dimensional granular vortex- and anti-vortex- structures during plane strain compression. Granul. Matter 2(20), 1–28 (2016) Kozicki, J., Tejchman, J.: DEM investigations of two-dimensional granular vortex- and anti-vortex- structures during plane strain compression. Granul. Matter 2(20), 1–28 (2016)
6.
go back to reference Niedostatkiewicz, M., Leśniewska, D., Tejchman, J.: Experimental analysis of shear zone patterns in sand for earth pressure problems using particle image velocimetry. Strain 47(s2), 218–231 (2011)CrossRef Niedostatkiewicz, M., Leśniewska, D., Tejchman, J.: Experimental analysis of shear zone patterns in sand for earth pressure problems using particle image velocimetry. Strain 47(s2), 218–231 (2011)CrossRef
7.
go back to reference Nitka, M., Tejchman, J., Kozicki, J., Leśniewska, D.: DEM analysis of micro-structural events within granular shear zones under passive earth pressure conditions. Granul. Matter 3, 325–343 (2015)CrossRef Nitka, M., Tejchman, J., Kozicki, J., Leśniewska, D.: DEM analysis of micro-structural events within granular shear zones under passive earth pressure conditions. Granul. Matter 3, 325–343 (2015)CrossRef
8.
go back to reference Richefeu, V., Combe, G., Viggiani, G.: An experimental assessment of displacement fluctuations in a 2D granular material subjected to shear. Geotech. Lett. 2, 113–118 (2012)CrossRef Richefeu, V., Combe, G., Viggiani, G.: An experimental assessment of displacement fluctuations in a 2D granular material subjected to shear. Geotech. Lett. 2, 113–118 (2012)CrossRef
9.
go back to reference Tejchman, J.: FE modeling of shear localization in granular bodies with micro-polar hypoplasticity. In: Wu, B. (eds.) Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg (2008) Tejchman, J.: FE modeling of shear localization in granular bodies with micro-polar hypoplasticity. In: Wu, B. (eds.) Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg (2008)
10.
go back to reference Tong, Y., Lombeyda, S., Hirani, A.N., Desbrun, M.: Discrete multiscale vector field decomposition. ACM Trans. Graph. (TOG) 22(3), 445–452 (2003)CrossRef Tong, Y., Lombeyda, S., Hirani, A.N., Desbrun, M.: Discrete multiscale vector field decomposition. ACM Trans. Graph. (TOG) 22(3), 445–452 (2003)CrossRef
11.
go back to reference Tordesillas, A., Pucilowski, S., Walker, D.M., Peters, J.F., Walizer, L.E.: Micromechanics of vortices in granular media: connection to shear bands and implications for continuum modelling of failure in geomaterials. Int. J. Numer. Anal. Methods Geomech. 38(12), 1247–1275 (2014)CrossRef Tordesillas, A., Pucilowski, S., Walker, D.M., Peters, J.F., Walizer, L.E.: Micromechanics of vortices in granular media: connection to shear bands and implications for continuum modelling of failure in geomaterials. Int. J. Numer. Anal. Methods Geomech. 38(12), 1247–1275 (2014)CrossRef
Metadata
Title
Investigations of Vortex-Structures in Granular Bodies Based on DEM and Helmholtz-Hodge Flow Field Decomposition
Authors
Jan Kozicki
Jacek Tejchman
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-56397-8_56