Skip to main content
Log in

Shear-banding and liquefaction in granular materials on the basis of a Cosserat continuum theory

Scherfugenbildung und Verflüssigung in körnigen Materialien im Rahmen einer Cosseratschen Kontinuumtheorie

  • Originals
  • Published:
Ingenieur-Archiv Aims and scope Submit manuscript

Summary

The constitutive equations of a two-dimensional flow theory of plasticity for granular materials with Cosserat structure are outlined. The post-failure behavior is modeled by means of softening rule that is based on a two fractions mixtures theory for sand. The paper is focusing on the two major bifurcation phenomena observed in element tests, i.e. shear-banding and liquefaction.

übersicht

Die Stoffgleichungen einer zweidimensionalen Theorie des plastischen Flie\ens für körnige Materialien mit Cosserat-Struktur werden dargestellt. Das Materialverhalten nach dem Versagen wird mit Hilfe eines Entfestigungsgesetzes beschrieben, welches sich auf ein Zweikomponenten-Mischungsmodell für Sand stützt. Diese Arbeit konzentriert sich auf die zwei Hauptverzweigungsprobleme, die in Elementversuchen beobachtet werden, nÄmlich Scherfugenbildung und Bodenverflüssigung.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Triantafyllidis, N.; Aifantis, E. C.: A gradient approach to localization of deformation-I. Hyperelastic materials. J. Elasticity 16 (1986) 225–238

    Google Scholar 

  2. Zbib, H. M.; Aifantis, E. C.: On the structure and width of shear-bands. Scr. Metall. 22 (1987) 703–708

    Google Scholar 

  3. Mühlhaus, H.-B.; Vardoulakis, I.: The thickness of shear bands in granular materials. Gèotechnique 37 (1987) 271–283

    Google Scholar 

  4. Vardoulakis, I.; Mühlhaus, H.-B.: A generalized flow theory for granular materials (submitted to Int. J. Numer. Anal. Methods Geomech.)

  5. Cundall, P.: Numerical Experiments on localization in frictional materials. Ing. Arch. 59 (1989) 148–159

    Google Scholar 

  6. Dietrich, Th.: Der Psammische Stoff als mechanisches Modell des Sandes. Dissertation, UniversitÄt Karlsruhe 1976

  7. Aifantis, E. C.: Microscopic processes and macroscopic response. In: Desai, C.; Gallagher, R. H. (eds.) Mechanics of engineering materials, pp. 1–22. Chichester: John Wiley 1984

    Google Scholar 

  8. Vardoulakis, I.: Theoretical and experimental bounds for shear-band bifurcation strain in biaxial tests on dry sand. Res Mechanica 23 (1988) 239–259

    Google Scholar 

  9. Vardoulakis, I.; Graf, B.: Calibration of constitutive models for granular materials using data from biaxial experiments. Géotechnique 35 (1985) 299–317

    Google Scholar 

  10. Rice, J. R.: On the stability of dilatant hardening for saturated rock masses. J. Geophys. Res. 80 (1975) 1531–1536

    Google Scholar 

  11. Vardoulakis, I.: Stability and bifurcation of undrained, plane rectilinear deformations on water-saturated granular soils. Int. J. Numer. Anal. Methods Geomech. 9 (1985) 399–414

    Google Scholar 

  12. Vardoulakis, I.: Dynamic stability of undrained simple-shear on water-saturated granular soils. Int. J. Numer. Anal. Methods in Geomech. 10 (1986) 177–190

    Google Scholar 

  13. Aifantis, E. C.: Application of mixture theory to fluid saturated and other geological media. In: Saxena S. K. (ed.) Compressibility phenomena in subsidence, pp. 65–78. New York: Engrng. Foundation 1984

    Google Scholar 

  14. Vardoulakis, I.; Aifantis, E. C.: Gradient dependent dilatancy and its implication in shear banding and liquefaction. Ing. Arch. 59 (1989)

  15. Lade, P. V.: Experimental observations of stability, instability, and shear-planes in granular materials. Ing. Arch. 59 (1989) 114–123 I. Vardoulakis

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vardoulakis, I. Shear-banding and liquefaction in granular materials on the basis of a Cosserat continuum theory. Ing. arch 59, 106–113 (1989). https://doi.org/10.1007/BF00538364

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00538364

Keywords

Navigation