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Needleman, A.: Non-normality and bifurcation in plane strain tension and compression. J. Mech. Phys. Solids27, 231–254 (1979). Vardoulakis, I.: Bifurcation analysis of the plane rectilinear deformation on dry sand samples. Int. J. Solids Structures17, 1085–1101 (1981). Hill, R., Hutchinson, J. W.: Bifurcation phenomena in the plane tension test. J. Mech. Phys. Solids23, 239–264 (1975). Young, N. J. B.: Bifurcation phenomena in the plane compression test. J. Mech. Phys. Solids24, 77–91 (1976). Cheng, S. Y., Ariaratnam, S. T., Dubey, R. N.: Axisymmetric bifurcation in a elastic-plastic cylinder under axial load and lateral hydrostatic pressure. Quart. Appl. Mathematics29, 41–51 (1971). Hutchinson, J. W., Miles, J. P.: Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension. J. Mech. Phys. Solids22, 61–71 (1974). Vardoulakis, I.: Bifurcation analysis of the triaxial test on sand samples. Acta Mechanica32, 35–54 (1979). Stören, S., Rice, J. R.: Localized necking in thin sheats. J. Mech. Phys. Solids23, 421–441 (1975). Vardoulakis, I.: Constitutive properties of dry sand, observable in the triaxial test. Acta Mechanica38, 219–239 (1981). Rudnicki, J. W., Rice, J. R.: Conditions for the localization of the deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids23, 371–394 (1975). Vardoulakis, I.: Rigid granular model for sand and the influence of the deviatoric flow rule. Mech. Res. Comm.8, 275–280 (1981). Shanley, F. R.: Inelastic column theory. I. Aeronaut. Sci.14, 261–268 (1947). Thomas, T. Y.: Plastic flow and fracture in solids. New York: Academic Press 1961. Truesdell, C., Noll, W.: Non-linear field theories of mechanics. (Flügge's Handbuch der Physik, III/3) Berlin-Heidelberg-New York: Springer 1965. Vardoulakis, I.: Equilibrium bifurcation of granular earth bodies. Advances in Analysis of Geotechnical Instabilities, University of Waterloo Press, SM Study No. 13, 65–119 (1978). Goldscheider, M.: Grenzbedingung und Fließregel von Sand. Mech. Res. Comm.3, 463–468 (1976). Kolymbas, D.: A rate-dependent constitutive equation for soils. Mech. Res. Comm.4, 367–372 (1977). Vardoulakis, I.: Shear band inclination and shear modulus of sand in biaxial tests. Int. J. Num. Anal. Meth. Geomech.4, 103–119 (1980). Mehrabadi, M. M., Cowin, S. C.: Prefailure and post-failure soil plasticity models. ASCE J. Engr. Mech. Div. Proc.106, 991–1003 (1980). Rowe, P. W.: Theoretical meaning and observed values of deformation parameters for soil. Proc. Roscoe Mem. Symp., Cambridge University (Perry, R. H. G., ed.), pp. 143–194. 1971. Hettler, A.: Verschiebungen starrer und elastischer Gründungskörper in Sand bei monotoner und zyklischer Belastung. Dissertation, Universität Karlsruhe, 1981. Reads, D. W., Green, G. E.: Independent stress control and triaxial extension tests on sand. Geotechnique26, 551–576 (1976). Zimmerman, K. L., Elder, A. S., Depue, A. K.: Users manual for the BRL subroutine to calculate Bessel functions of integral order and complex argument. Tech. Report ARBRL-TR-02068, U.S. Army Armament Res. and Dev. Cmd., Ballistic Res. Lab., Aberdeen (1978). Goldscheider, M.: Materialverhalten von Sand. Manuscript. Oberwolfach Jan. 1977. Bishop, A. W., Green, G. E.: The influence of end restraint on the compression strength of cohensionless soil. Geotechnique23, 243–266 (1973).