Abstract
In this brief note, we have (a) introduced a very general form of plasticity definition; (b) indicated several types of models used for monotonic and transient loading of soil-like materials, which do not depend on time effects. The details of each form are given elsewhere but we believe that the new framework provides an easier and more general interpretation of a variety of behaviour form.
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References
Bazant, Z; Endochronic in elasticity and incremental plasticity, Int. J. Sol. Struct., 14, pp. 691–714, (1978).
Carter, J. P., Booker, J. R. and Worth, C. P., A critical state soil for cyclic loading. in Soils under Cyclic and Transient Loading, ed. Panade, G. N. and Zienkiewicz, O. C., John Wiley, (to be published).
Dafalias, Y. F. and Popov, E. P., A model of non-linearly hardening materials for complex loadings, Acta mechanica, 21, pp. 173–192, (1975).
Dafalias, Y. F., On cyclic and anisotropic plasticity: i) A general model including material behaviour under stress reversals, ii) Anisotropic hardening for initially orthotropic materials, Ph. D. Thesis, University of California, Berkeley, U.S.A., (1978).
Dafalias, Y. F. and Herrman, L. R., A bounding surface soil plasticity model. Int. Symp. on Soils under Cyclic and Transient Loading, Swansea, U.K. (1980).
Drucker, D. C., Gibson, R. E. and Henkel, D. J., Soil mechanics and work hardening theories of plasticity, Trans. A. S. C. E., 122:388:346, (1957).
Krieg, R. D., A practical two-surface plasticity theory, J. Appl. Mech., E 42, pp. 641–646, (1975).
Lade, P. V. and Duncan, J. M., Elastoplastic stress-strain theory for cohesionless soil, J. Geotech. Eng. Div., Proc. A.S.C.E., 101, GT10, pp. 1037–1053. (1975).
Mroz, Z., On the description of anisotropic work-hardening, J. Mech. Phys. Solids, 15, pp. 163–175, (1967).
Mroz, Z., Norris, V.A. and Zienkiewicz, O.C., An anisotropic hardening model for soils and its application to cyclic loading, Int. J. Num. Anal. Meth. Geom., 2, pp. 203–221, (1978).
Mroz, Z., Norris, V. A. and Zienkiewicz, O.C., Application of an anisotropic hardening model in the analysis of elastoplastic deformation of soils, Geotechnique, 29, pp. 1–34, (1979).
Mroz, Z., Norris, V. A. and Zienkiewicz, O. C., Simulation of behaviour of soils under cyclic loading by using a more general hardening rule, Research report, Department of Civil Engineering, University of Wales, Swansea, U.K., (1980).
Mroz, Z., Norris, V. A. and Zienkiewicz, O. C., An anisotropic critical state model for soils subjected to cyclic loading, (to be published in Geotechnique).
Nova, R. and Wood, D. M., A constitutive model for sand in triaxial compression, Int. J. Num. Anal. Meth. Geom., 3, pp. 255–278, (1979).
Pietruszczak, St. and Mroz, Z., Description of mechanical behaviour of anisotropically consolidated clays, Proc. Euromech Coll., ‘Anisotropy in Mechanics’. Grenbole. Noordhoff Int. Publ, (1979).
Roscoe, K. H. and Burland, J. B., On the generalised stress-strain behaviour of ‘wet’ clay, in the ‘Engineering Plasticity’, ed. Heyman, J. and Leckie, F. A., Cambridge Univ. Press. pp. 535–609, (1968).
Schofield, A. and Worth, P., Critical State Soil Mechanics, Mcgraw-Hill, London, 1968.
Wilde, P., Two invariant depending models of granular media, Arch. Mech. steo., 29, pp. 799–809, (1977).
Zienkiewicz, O. C., Valliappan, S. and King, I. P., Elastoplastic solutions of engineering problems, initial stress, finite element approach, Int. J. Num. Meth. Eng., pp. 75–100, (1969).
Zienkiewicz, O. C., The Finite Element Method, third edition, (1977).
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Communicated by Chien Wei-zang.
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Zienkiewicz, O.C. Generalized plasticity and some models for geomechanics. Appl Math Mech 3, 303–318 (1982). https://doi.org/10.1007/BF01897214
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DOI: https://doi.org/10.1007/BF01897214