Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
An, L., Schaeffer, D.G. (1992) The flutter instability in granular flow. J. Mech. Phys. Solids, 40, 683-698
Bauer, E., Wu, W., Huang, W. (2003) Influence of initially transverse isotropy on shear banding in granular materials. In: Bifurcations & Instabilities in Geomechanics, J.F. Labuz and A. Drescher (eds.), Balkema, Lisse, pp. 161-172
Bigoni, D., Zaccaria, D. (1994) On the eigenvalues of the acoustic tensor in elastoplasticity. Eur. J. Mech., A/Solids, 13(5), 621-638
Chambon, R., Caillerie, D. (1999) Existence and uniqueness theorems for boundary value problems involving incrementally non linear models. Int. J. Solids Struct., 36, 5089-5099
Chambon, R., Crochepeyre, S., Desrues, J. (2000) Localization criteria for nonlinear constitutive equations of geomaterials. Mech. Cohes.-Frict. Mater., 5, 61-82
Gudehus, G. (1996) A comprehensive constitutive equation for granular materials. Soils, 36, 1-12
Gudehus, G. (2004) A visco-hypoplastic constitutive relation for soft soils. Soils Found., 44(4), 11-25
Hill, R. (1962) Acceleration waves in solids. J. Mech. Phys. Solids, 10, 1-16
Joseph, D.D., Saut, J. C. (1990) Short-Wave Instabilities and Ill-Posed InitialValue Problems. Theoret. Comput. Fluid Dyn., 1, 191-227
Kolymbas, D., Rombach, G. (1989) Shear band formation in generalized hypoelasticity. Ing.-Arch., 59, 177-186
Loret, B., Harireche, O. (1991) Acceleration waves, flutter instabilities and stationary discontinuities in inelastic porous media. J. Mech. Phys. Solids, 39(5), 569-606
Mandel, J. (1964) Propagation des surfaces de discontinuité dans un milieu élastoplastique. In: Stress Waves in Anelastic Solids, H. Kolsky and W. Prager (eds.), Springer, Berlin Heidelberg New York, pp. 331-340
Molenkamp, F. (1991) Material instability for drained and undrained behaviour. Parts 1, 2. Int. J. Num. Anal. Methods Geomech., 15, 147-180
Osinov, V.A. (1998) Theoretical investigation of large-amplitude waves in granular soils. Soil Dyn. Earthquake Eng., 17(1), 13-28
Osinov, V.A., Gudehus, G. (2003) Dynamics of hypoplastic materials: theory and numerical implementation. In: Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations, K. Hutter and N. Kirchner (eds.), Springer, Berlin, pp. 265-284
Osinov, V.A., Wu, W. (2005) Instability and ill-posedness in the deformation of plastic solids: some correlations through simple examples. In: Trends in Applications of Mathematics to Mechanics, Y. Wang and K. Hutter (eds.), Shaker Verlag, Aachen, pp. 361-370
Petryk, H. (1992) Material instability and strain-rate discontinuities in incrementally nonlinear continua. J. Mech. Phys. Solids, 40(6), 1227-1250
Petryk, H. (2000) Theory of material instability in incrementally nonlinear plasticity. In: Material Instabilities in Elastic and Plastic Solids, H. Petryk (ed.), Springer, Wien Berlin Heidelberg New York, pp. 261-331
Rice, J.R. (1976) The localization of plastic deformation. In: Theoretical and Applied Mechanics, Proceedings. 14th IUTAM Congress, W.T. Koiter (ed.), North-Holland, Amsterdam, pp. 207-220
Schaeffer, D.G. (1990) Instability and ill-posedness in the deformation of granular materials, Int. J. Numer. Anal. Methods Geomech., 14(4), 253-278
Vardoulakis, I., Sulem, J. (1995) Bifurcation Analysis in Geomechanics, Chapman & Hall, London
Wu, W., Kolymbas, D. (1990) Numerical testing of the stability criterion for hypoplastic constitutive equations. Mech. Mater., 9, 245-253
Wu, W., Bauer, E. (1994) A simple hypoplastic constitutive model for sand. Int. J. Numer. Anal. Methods Geomech., 18, 833-862
Wu, W., Kolymbas, D. (2000) Hypoplasticity then and now. In: Constitutive Modelling of Granular Materials, D. Kolymbas (ed.), Springer, Berlin Heidelberg New York, pp. 57-105
Wu, W. (2000) Non-linear analysis of shear band formation in sand. Int. J. Numer. Anal. Meth. Geomech., 24, 245-263
Zienkiewicz, O.C., Pande G.N. (1977) Some useful forms of isotropic yield surfaces for soil and rock mechanics. In: Finite Elements in Geomechanics, G. Gudehus (ed.), Wiley, Chichester, pp. 179-190
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Weingartner, B., Osinov, V.A., Wu, W. (2006). Acceleration Waves in Hypoplasticity - 2D Analysis. In: Wu, W., Yu, HS. (eds) Modern Trends in Geomechanics. Springer Proceedings in Physics, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-35724-7_28
Download citation
DOI: https://doi.org/10.1007/978-3-540-35724-7_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25135-4
Online ISBN: 978-3-540-35724-7
eBook Packages: EngineeringEngineering (R0)