Shear Band Analysis in the Biaxial Test
Publication: International Journal of Geomechanics
Volume 8, Issue 5
Abstract
Simulation of a biaxial test by finite-element calculations may lead to unexpected localized deformations even for an elastic-perfect plastic Mohr–Coulomb model. The effects of localization lead to difficulties in computations. This paper describes a simple model for the strength development after occurrence of localization. The localization model describes the postfailure behavior assuming elastoplastic behavior inside the shear band and elastic behavior of the material outside the shear band. The resulting two nonlinear equilibrium equations are analyzed with a rigorous nonlinear scheme. The nonlinear equations show snap-through and snap-back behavior. Snap-back occurs due to energy release of unloading of the material outside the shear band. The simulations show that localization in shear bands is possible for orientations between the Roscoe and Mohr–Coulomb direction. Shear bands with orientations close to the Roscoe direction show a more gradual decrease of strength in comparison to bands with orientations close to the Coulomb direction. The flexibility of the shear band is shown to be important for postbifurcation behavior.
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References
Aifantis, E. C. (1984). “On the microstructural origin of certain inelastic models.” J. Eng. Mater. Technol., 106(4), 326–330.
Chen, W. F. (1975). Limit analysis and soil plasticity, Elsevier, Amsterdam, The Netherlands.
de Borst, R. (1987). “Computation of post-bifurcation and post-failure behavior of strain-softening solids.” Comput. Struct., 25(2), 211–224.
de Borst, R., Sluys, L. J., Mülhaus, H.-B., and Pamin, J. (1993). “Fundamental issues in finite-element analyses of localization of deformation.” Eng. Comput., 10(2), 99–121.
Desrues, J. (1984). “La localisation de la deformation dans les materiaux granulaires.” Ph.D. thesis, Univ. of Grenoble, Grenoble, France.
Desrues, J., and Viggiani, G. (2004). “Strain localization in sand: An overview of the experimental results obtained in Grenoble using stereophotogrammetry.” Int. J. Numer. Analyt. Meth. Geomech., 28(4), 279–321.
Drescher, A., and Detournay, E. (1993). “Limit load in transitional mechanisms for associative and non-associative materials.” Géotechnique, 43(3), 443–456.
Hill, R. (1962). “Acceleration waves in solids.” J. Mech. Phys. Solids, 10(1), 1–16.
Hughes, T. J. R. (1980). “Generalization of selective integration procedures to anisotropic and nonlinear media.” Int. J. Numer. Methods Eng., 15(9), 1413–1418.
Jirásek, M. (2002). “Objective modeling of strain localization.” Revue Française de Génie Civil, 6(6), 1119–1132.
Mülhaus, H.-B., and Vardoulakis, I. (1987). “The thickness of shear bands in granular materials.” Géotechnique, 37(3), 271–283.
Needleman, A. (1988). “Material rate dependence and mesh sensitivity on shear-band localization problems.” Comput. Methods Appl. Mech. Eng., 67(1), 69–85.
Pijaudier-Cabot, G., and Bažant, Z. P. (1987). “Nonlocal damage theory.” J. Eng. Mech., 113(10), 1512–1533.
Roscoe, K. H. (1970). “The influence of strains in soil mechanics.” Géotechnique, 20(2), 129–170.
Rudnicki, J. W., and Rice, J. R. (1975). “Conditions for the localization of deformation in pressure-sensitive materials.” J. Mech. Phys. Solids, 23(6), 371–394.
Simo, J. C., and Hughes, T. J. R. (1998). Computational inelasticty, Springer, New York.
Teunissen, J. A. M. (2007). “On double shearing in frictional materials.” Int. J. Numer. Analyt. Meth. Geomech., 31(1), 23–51.
Teunissen, J. A. M., and Spierenburg, S. E. J. (1995). “Stability of infinite slopes.” Géotechnique, 45(2), 321–323.
Vardoulakis, I. (1980). “Shear band inclination and shear modulus of sand in biaxial tests.” Int. J. Numer. Analyt. Meth. Geomech., 4(2), 103–119.
Vardoulakis, I., and Sulem, J. (1995). Bifurcation analysis in geomechanics, Blackie Academic and Professional, London.
Vermeer, P. A. (1990). “The orientation of shear bands in biaxial tests.” Géotechnique, 40(2), 223–236.
Viggiani, G., Küntz, M., and Desrues, J. (2001). “An experimental investigation of the relationships between grain size distribution and shear banding in sand.” Continuous and discontinuous modelling of cohesive-frictional materials, Lecture Notes in Physics, P. A. Vermeer et al., eds., Springer, Berlin, 111–127.
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Published In
International Journal of Geomechanics
Volume 8 • Issue 5 • September 2008
Pages: 311 - 321
Copyright
© 2008 ASCE.
History
Received: Feb 16, 2007
Accepted: Jan 31, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008
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