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2018 | OriginalPaper | Chapter

Evolution of Meso-scale Structure at Critical State for Granular Media

Authors : Yang Liu, Ziqiao Cheng, Jianyu Li, Shuang Li

Published in: Proceedings of GeoShanghai 2018 International Conference: Fundamentals of Soil Behaviours

Publisher: Springer Singapore

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Abstract

Granular material is a typical multi-scale material, which physical and mechanical properties are similar to continuous medium in macroscopic scale, but discontinuous and strongly anisotropic in micro- and meso-scale. In this paper, numerical simulations of biaxial tests for ideal granular samples with different initial densities were carried out using discrete element method (DEM). Loop structures, which are represented by voronoi polygons, were taken as the basic meso-mechanical unit of granular material by mesh-subdivision. The evolutions of numbers, geometrical morphology for different loops were simulated and analyzed. From the mesoscopic point of view, critical state of granular media is the consequence of mutual transformation for higher-order loops and lower-order loops, the combined average and external manifestation of all loops.

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Literature
1.
go back to reference Roscoe, K.H., Schofield, A.N., Wroth, C.P.: On the yielding of soils. Geotechnique 8(1), 22–53 (1958)CrossRef Roscoe, K.H., Schofield, A.N., Wroth, C.P.: On the yielding of soils. Geotechnique 8(1), 22–53 (1958)CrossRef
2.
go back to reference Schofield, A., Wroth, P.: Critical State Soil Mechanics. McGraw-Hill, London (1968) Schofield, A., Wroth, P.: Critical State Soil Mechanics. McGraw-Hill, London (1968)
3.
go back to reference Drescher, A., de Jong, G.D.J.: Photoelastic verification of a mechanical model for the flow of a granular material. J. Mech. Phys. Solids 20(5), 337–340 (1972)CrossRef Drescher, A., de Jong, G.D.J.: Photoelastic verification of a mechanical model for the flow of a granular material. J. Mech. Phys. Solids 20(5), 337–340 (1972)CrossRef
4.
go back to reference Sun, Q.C., Jin, F., Wang, G.Q., Zhang, G.H.: Force chains in a uniaxially compressed static granular matter in 2D. Acta Phys. Sin. 59(1), 30–37 (2010) Sun, Q.C., Jin, F., Wang, G.Q., Zhang, G.H.: Force chains in a uniaxially compressed static granular matter in 2D. Acta Phys. Sin. 59(1), 30–37 (2010)
5.
go back to reference Masson, S., Martinez, J.: Micromechanical analysis of the shear behavior of a granular material. J. Eng. Mech. 127(10), 1007–1016 (2001)CrossRef Masson, S., Martinez, J.: Micromechanical analysis of the shear behavior of a granular material. J. Eng. Mech. 127(10), 1007–1016 (2001)CrossRef
6.
go back to reference Li, X., Li, X.S.: Micro-macro quantification of the internal structure of granular materials. J. Eng. Mech. 135(7), 641–656 (2009)CrossRef Li, X., Li, X.S.: Micro-macro quantification of the internal structure of granular materials. J. Eng. Mech. 135(7), 641–656 (2009)CrossRef
7.
go back to reference Li, X.S., Dafalias, Y.F.: Anisotropic critical state theory: role of fabric. J. Eng. Mech. 138(3), 263–275 (2012)CrossRef Li, X.S., Dafalias, Y.F.: Anisotropic critical state theory: role of fabric. J. Eng. Mech. 138(3), 263–275 (2012)CrossRef
8.
go back to reference Kruyt, N.P., Rothenburg, L.: On micromechanical characteristics of the critical state of two-dimensional granular materials. Acta Mech. 225(8), 2301–2318 (2014)CrossRef Kruyt, N.P., Rothenburg, L.: On micromechanical characteristics of the critical state of two-dimensional granular materials. Acta Mech. 225(8), 2301–2318 (2014)CrossRef
9.
go back to reference Qin, J.M., Zhang, H.W.: Microscopic theoretical model of critical state for granular materials. Rock Soil Mech. 31(12), 3697–3703 (2010) Qin, J.M., Zhang, H.W.: Microscopic theoretical model of critical state for granular materials. Rock Soil Mech. 31(12), 3697–3703 (2010)
10.
go back to reference Zhu, H.X., Nguyen, H.N.G., Nicot, F., Darve, F.: On a common critical state in localized and diffuse failure modes. J. Mech. Phys. Solids 95, 112–131 (2016)CrossRef Zhu, H.X., Nguyen, H.N.G., Nicot, F., Darve, F.: On a common critical state in localized and diffuse failure modes. J. Mech. Phys. Solids 95, 112–131 (2016)CrossRef
11.
go back to reference Peters, J.F., Muthuswamy, M., Wibowo, J., Tordesillas, A.: Characterization of force chains in granular material. Phys. Rev. E 72(4), 041307 (2005)CrossRef Peters, J.F., Muthuswamy, M., Wibowo, J., Tordesillas, A.: Characterization of force chains in granular material. Phys. Rev. E 72(4), 041307 (2005)CrossRef
12.
go back to reference Tordesillas, A., Muthuswamy, M.: On the modeling of confined buckling of force chains. J. Mech. Phys. Solids 57(4), 706–727 (2009)CrossRef Tordesillas, A., Muthuswamy, M.: On the modeling of confined buckling of force chains. J. Mech. Phys. Solids 57(4), 706–727 (2009)CrossRef
13.
go back to reference Tordesillas, A., Shi, J.Y., Tshaikiwsky, T.: Stress-dilatancy and force chain evolution. Int. J. Numer. Anal. Methods Geomech. 35(2), 264–292 (2011)CrossRef Tordesillas, A., Shi, J.Y., Tshaikiwsky, T.: Stress-dilatancy and force chain evolution. Int. J. Numer. Anal. Methods Geomech. 35(2), 264–292 (2011)CrossRef
14.
go back to reference Satake, M.: A discrete-mechanical approach to granular materials. Int. J. Eng. Sci. 30(10), 1525–1533 (1992)CrossRef Satake, M.: A discrete-mechanical approach to granular materials. Int. J. Eng. Sci. 30(10), 1525–1533 (1992)CrossRef
15.
go back to reference Kruyt, N.P., Rothenburg, L.: Micromechanical definition of the strain tensor for granular materials. J. Appl. Mech. 63(3), 706–711 (1996)CrossRef Kruyt, N.P., Rothenburg, L.: Micromechanical definition of the strain tensor for granular materials. J. Appl. Mech. 63(3), 706–711 (1996)CrossRef
16.
go back to reference Kuhn, M.R.: Heterogeneity and patterning in the quasi-static behavior of granular materials. Granular Matter 4(4), 155–166 (2003)CrossRef Kuhn, M.R.: Heterogeneity and patterning in the quasi-static behavior of granular materials. Granular Matter 4(4), 155–166 (2003)CrossRef
17.
go back to reference Nguyen, N., Magoariec, H., Cambou, B.: Local stress analysis in granular materials at a mesoscale. Int. J. Numer. Anal. Methods Geomech. 36(14), 1609–1635 (2012)CrossRef Nguyen, N., Magoariec, H., Cambou, B.: Local stress analysis in granular materials at a mesoscale. Int. J. Numer. Anal. Methods Geomech. 36(14), 1609–1635 (2012)CrossRef
18.
go back to reference Itasca Consulting Group Inc.: Particle Flow Code in 2 Dimensions, PFC2D Version 4.0[M]. Itasca Consulting Group Inc., Minneapolis (2008) Itasca Consulting Group Inc.: Particle Flow Code in 2 Dimensions, PFC2D Version 4.0[M]. Itasca Consulting Group Inc., Minneapolis (2008)
19.
go back to reference Tordesillas, A., Walker, D., Lin, Q.: Force cycles and force chains. Phys. Rev. 81(1), 011302 (2010) Tordesillas, A., Walker, D., Lin, Q.: Force cycles and force chains. Phys. Rev. 81(1), 011302 (2010)
Metadata
Title
Evolution of Meso-scale Structure at Critical State for Granular Media
Authors
Yang Liu
Ziqiao Cheng
Jianyu Li
Shuang Li
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-13-0125-4_87