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
Baker, J., Horne, M.R. and Heyman, J. (1965). The Steel Skeleton, Vol II. Cambridge University Press.
Chandler, H.W. (1985). A plasticity theory without Drucker’s postulate, suitable for granular materials, J. Mech. Phys. Solids., Vol 33, 215–226.
Chandler, H.W. (1988). A variational principle for granular materials, Int. J. Num. Analy. Meth. Geomech., Vol 12, 371–378.
Chandler, H.W. (1990). A model for the deformation and flow of granular materials undergoing monotonic shear loading, Geotechnique, Vol 40, 379–388.
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.
Collins, I.F. and Kelly, P.A. (2002). A thermomechanical analysis of a family of soil models, Geotechnique, Vol 52, 507–518.
Darve, F. and Labanieh, S. (1982). Incremental constitutive law for sands and clays. Int. J. Num. Analy. Meth. Geomech, Vol 6, 243–275.
Desrues, J. and Chambon, R. (1993). A new rate type constitutive model for geomaterials: CLoE. In: Modern Approaches to Plasticity, (Editor: D Kolymbas), Elsevier, 309–324.
Drucker, D.C. and Prager, W. (1952). Soil mechanics and plastic analysis for limit design, Quart. Appl. Math., Vol 10, 157–165.
Dungar, R. and Nuh, S. (1980). Endochronic-critical state models for sand, J. Eng. Mech. Div., ASCE, Vol 106, 951–967.
Green, A.E. (1956a). Hypo-elasticity and plasticity, Proc. R. Soc. A., Vol 234, 46–59.
Green, A.E. (1956b). Hypo-elasticity and plasticity: II, J. Rat. Mech. Anal., Vol 5, 725–734.
Gudehus, G. (1996). A comprehensive constitutive equation for granular material, Soils and Foundations, Vol 36, 1–12.
Hill, R (1950). The Mathematical Theory of Plasticity, Clarendon Press, Oxford.
Houlsby, G.T. (1981). A Study of Plasticity Theories and Their Applicability to Soils, PhD Thesis, Cambridge University.
Houlsby, G.T. (1982). A derivation of the small-strain incremental theory of plasticity from thermodynamics, In: Proc. IUTAM Conf.Deformation and Failure of Granular Materials, Delft, 109–118.
Houlsby, G.T. and Puzrin, A.M. (2000). A thermomechanical framework for constitutive models for rate independent dissipative materials, Int. J. Plasticity, Vol 16, 1017–1047.
Houlsby, G.T. and Puzrin, A.M. (2006). Principles of Hyperplasticity, Springer, London.
Kolymbas, D. (1977). A rate dependent constitutive equation for soils. Mech. Resear: Comm., Vol 4, 367–372.
Kolymbas, D. (1991). An outline of hypoplasticity, Arch. Appl. Mech., Vol 61, 143–151.
Kolymbas, D. (1994). Hypoplasticity as a constitutive framework for granular materials. In: Computer Methods and Advances in Geomechanics, (Editors: Siriwardane and Zaman), Balkema, 197–208.
Kolymbas, D. (Editor) (2000). Constitutive Modelling of Granular Materials, Springer.
Martin, J.B. (1975). Plasticity: Fundamentals and General Results, MIT Press, Cambridge.
Maugin, G.A. (1992). The Thermomechanics of Plasticity and Fracture, Cambridge University Press.
Tamagnini, C., Viggiani, G. and Chambon, R. (2000). A review of two different approaches to hypoplasticity, In: Constitutive Modelling of Granular Materials, (Editor: D Kolymbas), Springer, 107–146.
Truesdell, C. (1955). Hypo-elasticity, J. Rat. Mech. Anal., Vol 4, 83–133.
Valanis, K.C. (1971). A theory of viscoplasticity without a yield surface, Arch. Mech., Vol 23, 517–534.
Valanis, K.C. (1980). Fundamental consequences of a new intrinsic time measure plasticity as a limit of the endochronic theory, Arch. Mech., Vol 32, 171.
Valanis, K.C. (1984). Continuum foundations of endochronic plasticity, J. Eng. Muter: Tech., Vol 106, 367.
Valanis, K.C. and Read, H.E. (1982). A new endochronic plasticity model for soils, In: Soil Mechanics-Transient and Cyclic Loads, Wiley, 375–417.
Watanake, 0. and Atluri, S.N. (1986). Intrenal time, general internal variable, and multiyield surface theories of plasticity and creep: a unification of concepts, Int. J. Plasticity, Vol 2, 37.
Wu, W. (1992). Hypoplastizitat als Mathematisches Model1 zum mechanischen Verhalten granularer Stoffe, PhD Thesis, Karlsruhe University, Germany.
Wu, W. and Kolymbas, D. (2000). Hypoplasticity then and now, In: Constitutive Modelling of Granular Materials, (Editor: D. Kolymbas), Springer, 57–106.
Ziegler, H. (1977). An Introduction to Thermodynamics, North Holland, Amsterdam.
Ziegler, H. and Wehrli, C. (1987). The derivation of constitutive relations from the free energy and the dissipation function, Adv. Appl. Mech., Vol 25, 183–238.
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2006). Plasticity Without a Prior Yield Criterion. In: Plasticity and Geotechnics. Advances in Mechanics and Mathematics, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-33599-5_9
Download citation
DOI: https://doi.org/10.1007/978-0-387-33599-5_9
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)