Numerical simulation of shear band formation with a hypoplastic constitutive model

Computers and Geotechnics

Volumn 18, Issue 1, 1996, Pages 71-84

  Tejchman, J ^a   Wu, W ^b  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b Lahmeyer International GmbH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSION TESTING; MATHEMATICAL MODELS; PLASTIC DEFORMATION; PLASTICITY; SHEAR STRENGTH; SOIL TESTING; STRESS ANALYSIS;

HYPOPLASTIC CONSTITUTIVE MODEL; SHEAR BAND FORMATION;

SOIL MECHANICS;

COMPRESSION TEST; GRANULAR MEDIUM; HYPOPLASTIC CONSTITUTIVE MODEL; SHEAR BAND FORMATION;

EID: 0029669302     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0266-352X(95)00018-6     Document Type: Article

References (31)

1. Wu, W. & Bauer, E., A hypoplastic model for barotropy and pyknotropy of granular soils. Proc. Int. Workshop on Modern Approaches to Plasticity, pp. 225-245. Elsevier, Amsterdam, 1993.
2. Rudnicki, J. W. & Rice, J. R., Conditions for the localization of deformation in pressure-sensitive dilatant solids. J. Mech. Phys. Solids, 23 (1975) 371-394.
3. Vardoulakis, I., Shear band inclination and shear modulus of sand in biaxial tests. Int. J. Numer. Anal. Meth. Geomech., 4 (1980) 103-119.
4. Molenkamp, F., Comparison of frictional material models with respect to shear band initiation. Géotechnique, 35 (1985) 127-143.
5. Wu, W. & Sikora, W., Localized bifurcation in hypoplasticity. Int. J. Engng Sci., 29 (1991) 195-201.
6. de Borst, R., Bifurcations in finite element models with a nonassociated flow law. Int. J. Numer. Anal. Meth. Geomech., 12 (1988) 99-116.
7. Leroy, Y. & Ortiz, M., Finite element analysis of strain localization in frictional materials. Int. J. Numer. Anal. Meth. Geomech., 4 (1991) 907-922.
8. Tejchman, J. & Wu, W., Numerical study on shear band patterning in a Cosserat continuum. Acta Mech., 99 (1993) 61-74.
9. Desrues, J. & Hammad, W., Shear banding dependency on mean pressure level in sand. 2nd Int. Workshop on Localisation and Bifurcation Theory for Soils, Gdańsk, Poland, 1989.
10. Schofield, A. N. & Wroth, C. P., Critical State Soil Mechanics. McGraw-Hill, London, 1968.
11. Kolymbas, D., Eine konstitutive Theorie für Böden und andere körnige Stoffe. Publication Series of the Institute of Soil Mechanics, Karlsruhe University, 109 (1988).
12. Wu, W. & Kolymbas, D., Numerical testing of the stability criterion for hypoplastic constitutive equations. Mech. Mater., 9 (1990) 245-253.
13. Wu, W., Hypoplasticity as a mathematical model for the mechanical behaviour of granular materials. Publication Series of the Institute of Soil Mechanics, Karlsruhe University, 129 (1992).
14. Wu, W., Bauer, E., Niemunis, A. & Herle, I., Visco-hypoplastic models for cohesive soils. Proc. Int. Workshop on Modern Approaches to Plasticity, pp. 365-383. Elsevier, Amsterdam, 1993.
15. Wu, W. & Niemunis, A., Failure criterion, flow rule and dissipation function derived from hypoplasticity. Submitted to Mech. Cohes. Frict. Mater. Struct.
16. Tejchman, J., Numerical study on localisation in a Cosserat continuum. Proc. 3rd Int. Workshop on Localisation and Bifurcation Theory for Soils in Aussois, France, pp. 257-274, 1994.
17. Kolymbas, D., An outline of hypoplasticity. Arch. Appl. Mech., 61 (1991) 143-151.
18. Kolymbas, D. & Wu, W., Introduction to hypoplasticity. Proc. Int. Workshop on Modern Approaches to Plasticity, pp. 213-225. Elsevier, Amsterdam 1993.
19. Wu, W. & Bauer, E., A simple hypoplastic constitutive model for sand. Int. J. Numer. Anal. Meth. Geomech., 18 (1994) 833-862.
20. Vardoulakis, I. & Goldscheider M., Biaxial apparatus for testing shear bands in soils. Proc. 10th Int. Conf. Soil Mech. Found. Engng, Stockholm, pp. 819-824, 1981.
21. Vardoulakis, I., Scherfugenbildung in Sandkörpern als Verzweigungsproblem. Publication Series of the Institute of Soil Mechanics, Karlsruhe University, 70 (1977).
22. Tatsuoka, F., Nakamura, S., Huang, C. & Tani, K., Strength anisotropy and shear band inclination in plane strain tests of sands. Soils and Foundations, 30 (1990) 35-54.
23. Bathe, K. J., Finite Element Procedures in Engineering Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1982.
24. Vermeer, P. & van Langen, H., Soil collapse computations with finite elements. Ing. Arch., 59 (1989) 221-236.
25. Benallal, A., Billardon, R. & Geymonat, G., Localization phenomena at the boundaries and interfaces of solids. Proc. Int. Conf. Constitutive Laws for Engineering Materials, Tucson, AZ, pp. 387-390, 1991.
26. Mühlhaus, H. B., Shear band analysis in granular materials by Cosserat theory. Ing. Arch., 56 (1986) 389-399.
27. Tejchman, J., Development of shear zones and effects of dilatancy constraint in granulates with consideration of grain rotations. Publication Series of the Institute of Soil Mechanics, Karlsruhe University, 117 (1989).
28. Sluys, L. J., Wave propagation, localisation and dispersion in softening solids. Dissertation, Delft University, 1992.
29. de Borst, R., Mühlhaus, H. B., Pamin, J. & Sluys, L. Y., Computational modelling of localisation of deformation. Proc. Int. Conf. Comp. Plast., pp. 483-508. Pineridge Press, Swansea, 1992.
30. Loret, B. & Prevost, J. H., Dynamic strain localisation in elasto-visco-plastic solids. Comp. Meth. Appl. Mech. Engng, 83 (1990) 247-273.
31. Vermeer, P. & Brinkgreve, R., Introduction to a non-local theory of plasticity. Proc. 3rd Int. Workshop on Localisation and Bifurcation Theory for Soils in Aussois, France, pp. 89-101, 1994.