This is a preview of subscription content, log in via an institution to check access.
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
Brown, E.T. (1987). Analytical and Computational Methods in Engineering Rock Mechanics, “Expanded version of the lectures given at the John Bray Colloquium”, Allen & Unwin, London.
Burland, J.B. (1989). Small is beautiful: the stiffness of soils at small strains, Can. Geotech. J., Vol 26, 499–516.
Carter, J.P., Desai, C.S., Potts, D.M., Schweiger, H.F. and Sloan, S.W. (2000). Computing and computer modelling in geotechnical engineering, Proc. of GeoEng2000, Vol I, 1157–1252.
Chandler, H.W. (1985). A plasticity theory without Drucker’s postulate, suitable for granular materials, J. Mech. Phys. Solids, Vol 33, 215–226.
Chen, W.F. (1975). Limit Analysis and Soil Plasticity, Elsevier, Amsterdam.
Chen, W.F. and Mizuno, E. (1990). Nonlinear Analysis in Soil Mechanics. Elsevier, Amsterdam.
Collins, I.F. and Houlsby, G.T. (1997). Application of thermomechanical principles to the modelling of geotechnical materials, Proc. R. Soc. A., Vol 453, 1975–2001.
Cundall, P.A. (2000). A discontinuous future for numerical modelling in geomechanics, Proc. ICE: Geotech. Eng., Vol 149, 41–47.
Cundall, P.A. and Strack, O.D.L. (1979). A discrete numerical model for granular assemblies, Geotechnique., Vol 29, 47–65.
Dafalias, Y.F. and Popov, E.P. (1975). A model of nonlinearly hardening materials for complex loadings, Acta Mech., Vol 21, 173–192.
Davis, E.H. (1968). Theories of plasticity and the failure of soil masses, In: Soil Mechanics: Selected Topics, (Editor: I. K. Lee), Butterworths, London, 341–380.
Davis, R.O. and Selvadurai, A.P.S. (1996). Elasticity and Geomechanics, Cambridge University Press.
de Josselin de Jong, G. (1971). The double sliding, free rotating model for granular assemblies, Geotechnique., Vol 21, 155–162.
de Saint-Venant, B (1870). Memoire sur l’etablissement des equations differentielles des mouvements interieurs operes dans les corps solides ductiles au dela des limites ou I’elasticite pourrait les ramener a leur premier etat, C.R. Acas. Sci. (Paris), Vol 70, 473–480.
Drucker, D.C. (1950). Stress-strain relations in the plastic range: a survey of the theory and experiment, Report for OfJice of Naval Research Contract N7-onr-358, December, Brown University.
Drucker, D.C. (1952). A more fundamental approach to plastic stress-strain relations, In: Proc. 1st US Nat. Congl: Appl. Mech., ASME, New York, 487–491.
Drucker, D.C. (1958). The definition of a stable inelastic material,J. Appl. Mech., ASME, Vol 26, 101–106.
Drucker, D.C., Gibson, R.E. and Henkel, D.J. (1957). Soil mechanics and working hardening theories of plasticity, Trans. ASCE, Vol 122, 338–346.
Einav, I. (2004). Thermomechnical relations between stress space and strain space models, Geotechnique, Vol 54, 315–318.
Gens, A. and Potts, D.M. (1988). Critical state models in computational geomechanics. Eng. Comput., Vol 5, 178–197.
Green, A.E. (1956). Hypo-elasticity and plasticity, Proc. R. Soc. A., Vol 234, 46–59.
Harris, D. (1995). A unified formulation for plasticity models of granular and other materials, Proc. R. Soc. A., Vol 450, 37–49.
Hill, R. (1948). A variational principle of maximum plastic work in classical plasticity, Q.J. Mech. Appl. Math., Vol 1, 18–28.
Hill, R. (1950). The Mathematical Theory of Plasticity, Clarendon Press, Oxford.
Houlsby, G.T. (1982). A derivation of the small-strain incremental theory of plasticity from thermodynamics, Proc. IUTAM Conf. on Deformation and Failure of Granular Materials, Delft, 109–118.
Iwan, W.D. (1967). On a class of models for the yielding behaviour of continuous and composite systems, J. Appl. Mech., Vol 34, 612–617.
Jamiolkowski, M., Ladd, C.C., Germaine, J.T. and Lancellotta, R. (1985). New developments in field and laboratory testing of soils, Theme Lecture, Proc. 11th Int. Conf. on Soil Mech. Found. Eng., San Francisco, Vol l, 57–153, Balkema.
Jiang, M.J., Harris, D. and Yu, H.S. (2005). Kinematic models for non-coaxial granular materials: Part I and Part II, Int. J. Num. Anal. Meth. Geomech., Vol 29, 643–689.
Jiang, M.J. and Yu, H.S. (2006). Application of the discrete element method to modern geomechanics, In: Modern Trends in Geomechanics, (Editors: W. Wu and H.S. Yu), Springer.
Koiter, W.T. (1960). General theorems for elastic-plastic solids, In: Progress in Solid Mechanics, (Editors: I.N. Sneddon and R. Hill), Vol 1, 167–221.
Kolymbas, D. (1991). An outline of hypoplasticity, Arch. Appl. Mech., Vol 61, 143–151.
Krieg, R.D. (1975). A practical two-surface plasticity theory, J. Appl. Mech., Vol 42, 641–646.
Maugin, G.A. (1992). The Thermomechanics of Plasticity and Fracture, Cambridge University Press.
McDowell, G.R. and Bolton, M.D. (1998). On the micromechanics of crushable aggregates, Geotechnique, Vol 48, 667–679.
McDowell, G.R. and Harireche, 0. (2002). Discrete elment modelling of yielding and nomral compression of sand, Geotechnique, Vol 52, 299–304.
Melan, E (1938). Zur plastizitat des raumlichen Kontinuums, Ing. Arch., Vol 9, 116–125.
Mitchell, J.K. (1993). Fundamentals of Soil Behaviour, 2nd edition, John Wiley & Sons, New York.
Mroz, Z (1967). On the description of anisotropic hardening, J. Mech. Phys. Solids., Vol 15, 163–175.
Nadai, A. (1950). Theory of Flow and Fracture of Solids, 2nd Edition, McGraw-Hill, New York.
Naylor, D.J., Pande, G.N., Simpson, B. and Tabb, R. (1981). Finite Elements in Geotechnical Engineering, Pineridge Press, Swansea.
Naghdi, P.M. (1960). Stress-strain relations in plasticity and thermoplasticity, In: Plasticity, (Editors: E.H. Lee and P.S. Symonds), Pergamon Press, 121–169.
Naghdi, P.M. and Trapp, J.A. (1975). The significance of formulating plasticity theory with reference to loading surfaces in strain space. Int. J. Eng. Sci., Vol 13, 785–797.
Prager, W. (1955). The theory of plasticity-a survey of recent achievements, Proc. Inst. Mech. Eng., London, 3–19.
Potts, D. M. and Zdravkovic, L. (1999). Finite Element Analysis in Geotechnical Engineering: Theory, Thomas Telford, London.
Poulos, H.G. and Davis, E.H. (1974). Elastic Solutions for Soil and Rock Mechanics, John Wiley, New York.
Roscoe, K.H. and Burland, J.B. (1968). On generalised stress strain behaviour of wet clay. In: Engineering Plasticity (edited by Heyman and Leckie), 535–609.
Roscoe, K.H., Schofield, A.N. and Wroth, C.P. (1958). On yielding of soils, Geotechnique., Vol 8, 28.
Rothenburg, L. and Bathurst, R.J. (1992). Micromechanical features of granular assemblies with planar elliptical particles, Geotechnique, Vol 42, 79–95.
Rudnicki, J.W. and Rice, J.R. (1975). Conditions for the localisation of deformation in pressure-sensitive dilatant materials, J. Mech. Phys. Solids., Vol 23, 371–394.
Salencon, J. (1977). Applications of the Theory of Plasticity in Soil Mechanics, Wiley, Chichester.
Schofield, A.N. and Wroth, C.P. (1968). Critical State Soil Mechanics, McGraw-Hill, London.
Simpson, B. (1992). Retaining structure: displacement and design, Geotechnique, Vol 42, 539–576.
Sloan, S.W. and Randolph, M.F. (1982). Numerical prediction of collapse loads using finite element methods. Int. J. Num. Analy. Meth. Geomech., Vol 6, 47–76.
Sokolovskii, V.V. (1965). Statics of Granular Media, Pergamon, Oxford.
Spencer, A.J.M. (1964). A theory of the kinematics of ideal soils under plane strain conditions, J. Mech. Phys. Solids., Vol 12, 337–351.
Spencer, A.J.M. (1980). Continuum Mechanics. Dover Publications, New York.
Terzaghi, K. (1943). Theoretical Soil Mechanics, Wiley, New York.
Thornton, C. (2000). Microscopic approach contributions to constitutive modelling, In: Constitutive Modelling of Granular Materials, (Editor: D. Kolymbas), Springer 193–208.
Valanis, K.C. (1971). A theory of viscoplasticity without a yield surface, Arch. Mech., Vol 23, 517–534.
von Mises, R (1928). Mechanik der plastischen Formaenderung von Kristallen, Z. angew. Math. Mech., Vol 8, 161–185.
Wroth, C.P. and Houlsby, G.T. (1985). Soil mechanics-property characterisation and analysis procedures, Proc. 11th Int Conf of ISSMFE, Theme Lecture, Vol l, 1–55.
Yang, Y. and Yu, H.S. (2006a). Numerical simulations of simple shear with non-coaxial soil models, Int. J. Num. Analy. Meth. Geomech., Vol 30, 1–19.
Yang, Y. and Yu, PH.S. (2006b). A non-coaxial critical state soil model and its application to simple shear simulations, Int. J. Num. Analy. Meth. Geomech. (in press).
Yoder, P.J. and Iwan, W.D. (1981). On the formulation of strain-space plasticity with multiple loading surfaces. J. Appl. Mech., Vol 48, 773–778.
Yu, H.S. (1998). CASM: A unified state parameter model for clay and sand. Int. J. Num. Analy. Meth. Geomech., Vol 22, 621–653.
Yu, H.S. (2000a). Cavity Expansion Methods in Geomechanics, Kluwer Academic Publishers.
Yu, H.S. (2000b). Theoretical Methods in Geomechanics, DSc Thesis, University of Newcastle, Australia.
Yu, H.S. and Yuan, X. (2005). The importance of accounting for non-coaxial behaviour in modelling soil-structure interaction, Proc. 11th Int Con$ of ZACMAG, (Editors: G Barla and M. Barla), Patron Editore, Invited Issue Paper, Vol 4, 709–718.
Yu, H.S. and Yuan, X. (2006). On a class of non-coaxial plasticity models for granular soils, Proc. R. Soc. A., Vol 462, 725–748.
Zheng, Y., Chu, J. and Xu, Z. (1986). Strain space formulation of the elasto-plastic theory and its finite element implementation. Comput. Geotech. Vol 2, 373–388.
Ziegler, H. (1959). A modification of Prager’s hardening rule. Quart. Appl. Math. Vol 17, 55.
Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A. and Shiomi, T. (1998). Computational Geomechanics, Wiley.
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2006). Introduction. In: Plasticity and Geotechnics. Advances in Mechanics and Mathematics, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-33599-5_1
Download citation
DOI: https://doi.org/10.1007/978-0-387-33599-5_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-33597-1
Online ISBN: 978-0-387-33599-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)