TECHNICAL PAPERS
Feb 1, 1992

Shear‐Band Analysis in Idealized Granular Material

Publication: Journal of Engineering Mechanics
Volume 118, Issue 2

Abstract

Two‐dimensional particles experience shear bands as real granular materials; they form a convenient vehicle to investigate shear bands within granular soils. Numerical simulations on these idealized materials are used to assess the assumptions and limitations of the shear‐band analyses that are based on linear stability theory and micropolar continua. These shear‐band analyses are found to be applicable in the postbifurcation range, and they describe the thickness of shear bands and the displacements and rotations of the particles within the shear bands of idealized granular materials. The influence of particle rotation within shear bands validates the use of micropolar models. The thickness of shear bands is strongly influenced by the model parameters controlling the micropolar effects. The constitutive models based on the deformation and flow theories of plasticity predict similarly the emergence and inclination of shear bands, but give different shear‐band thicknesses.

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References

1.
Aifantis, E. C. (1984). “On the microstructural origin of certain inelastic models.” J. Engrg. Mater. Tech. Trans. of ASME, 106, 326–330.
2.
Aifantis, E. C. (1987). “The physics of plastic deformation.” Int. J. Plast., 3, 211–247.
3.
Bardet, J. P., and Proubet, J. (1989a). “Adaptative dynamic relaxation for statics of granular materials.” Comput. Struct. (in press).
4.
Bardet, J. P., and Proubet, J. (1989b). JP2, a program to simulate the behavior of two‐dimensional granular materials. Univ. of Southern California, Los Angeles, Calif.
5.
Bardet, J. P., and Proubet, J. (1990). “A numerical investigation of the structure of persistent shear bands in granular materials.” Géotechnique.
6.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Géotechnique, 29, 47–65.
7.
Cundall, P. A. (1989). “Numerical experiments on localization in frictional materials.” Ing. Arch., 59(2), 148–159.
8.
Hill, R. (1962). “Acceleration waves in solids.” J. Mech. Phys. Solids, 10, 1–16.
9.
Mandel, J. (1963). “Propagation des surfaces de discontinuité dans un milieu elastoplastique.” IUTAM Symp. on Stress Waves in Inelastic Solids, Springer‐Verlag, Berlin, Germany, 331–341.
10.
Mühlhaus, H. B. (1986). “Shear‐band analysis in granular material by Cosserat‐theory.” Ing. Arch., Berlin, Germany, 56, 389–399.
11.
Mühlhaus, H. B., and Vardoulakis, I. (1987). “The thickness of shear bands in granular materials.” Géotechnique, 37, 271–283.
12.
Rice, J. R. (1976). “The localization of plastic deformation.” Proc. 14th IUTAM Congress, 207–220.
13.
Rudnicki, J. W., and Rice, J. R. (1975). “Conditions for the localization of deformation in pressure‐sensitive dilatant material.” J. Mech. Phys. Solids, 23, 371–394.
14.
Roscoe, K. H. (1970). “Tenth Rankine lecture: The influence of strains in soil mechanics.” Géotechnique, 20, 129–170.
15.
Triantafyllidis, N., and Aifantis, E. C. (1986). “A gradient approach to localization of deformation I. Hyperelastic materials.” J. Elast., 16, 225–237.
16.
Vardoulakis, I. (1980). “Shear band inclination and shear modulus of sand in biaxial tests.” Int. J. Numer. Anal. Methods. in Geomech., 4, 103–119.
17.
Vardoulakis, I. (1989). “Shear‐banding and liquefaction in granular materials on the basis of a Cosserat continuum theory.” Ing. Arch., Berlin, Germany, 59(2), 106–114.
18.
Vardoulakis, I., and Aifantis, E. C. (1989). “Gradient dependent dilatancy and its implications in shear banding and liquefaction.” Ing. Arch., Berlin, Germany, 59(3), 197–208.
19.
Zbib, H. M., and Aifantis, E. C. (1988). “On the structure and width of shear bands.” Scripta Metallurgica, 22, 703–708.
20.
Zbib, H. M., and Aifantis, E. C. (1989). “A gradient‐dependent flow theory of plasticity: Application to metal and soil instabilities.” Appl. Mech. Rev., 42(11), 295–304.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 118Issue 2February 1992
Pages: 397 - 415

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Published online: Feb 1, 1992
Published in print: Feb 1992

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Authors

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J. P. Bardet, Member, ASCE
Asst. Prof., Civ. Engrg. Dept., Kaprielian Hall 210, Univ. of Southern California, Los Angeles, CA 90089‐2531
J. Proubet
Res. Asst. Civ. Engrg. Dept., Kaprielian Hall 210, Univ. of Southern California, Los Angeles, CA

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