Thermomechanical relations between stress-space and strain-space models

Geotechnique

Volumn 54, Issue 5, 2004, Pages 315-318

  Einav, I ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Constitutive relations; Plasticity; Theoretical analysis

Indexed keywords

STRESS-STRAIN RELATIONSHIP; THERMOMECHANICS;

EID: 3142689776     PISSN: 00168505     EISSN: None     Source Type: Journal    
DOI: 10.1680/geot.2004.54.5.315     Document Type: Article

References (17)

1. Casey, J. & Naghdi, P. M. (1981). On the characterization of the strain hardening plasticity. J. Appl. Mech. 48, 285-296.
2. Casey, J. & Naghdi, P. M. (1983). On the nonequivalence of the stress space and strain space formulations of plasticity theory. J. Appl. Mech. 50, 350-354.
3. Einav, I. & Puzrin, A. M. (2003). Evaluation of continuous hyperplastic critical state (CHCS) model. Géotechnique 53, No. 10, 901-913.
4. Einav, I. & Puzrin, A. M. (2004). Continuous hyperplastic critical state (CHCS) model: derivation. Int. J. Solids Struct. 41, No. 1, 199-226.
5. Houlsby, G. T. (2000). Critical state models and small-strain stiffness. Developments in theoretical geomechanics: Proceedings of the Booker Memorial Symposium, Sydney, pp. 559-574. Rotterdam: Balkema.
6. Iwan, W. D. (1966). A distributed element model for hysteresis and its steady-state dynamic response. J. App. Mech. Trans. ASME 33, No. 4, 893-900.
7. Iwan, W. D. (1967). On a class of models for the yielding behaviour of continuous and composite systems. J. Appl. Mech. 34, 612-617.
8. Lehane, B. M. & Simpson, B. (2000). Modelling glacial till under triaxial conditions using a BRICK soil model. Can. Geotech. J. 37, 1078-1088.
9. Masing, G. (1926). Eigenspannungen und verfestigung beim messing. Proc. 2nd Int. Congr. Appl. Mech., Zurich, 332-335.
10. Mroz, Z. (1967). On the description of anisotropic work hardening. J. Mech. Phys. Solids 15, 163-175.
11. Naghdi, P. M. & Trapp, J. A. (1975). The significance of formulating plasticity theory with reference to loading surfaces in strain space. Int. J. Engng. Sci. 13, 785-797.
12. Puzrin, A. M. & Houlsby, G. T. (2001a). Strain-based plasticity models for soils and BRICK model as an example of the hyperplasticity approach. Géotechnique 51, No. 2, 169-172.
13. Puzrin, A. M. & Houlsby, G. T. (2001b). Fundamentals of kinematic hardening hyperplasticity. Int. J. Solids Struct. 38, 3771-3794.
14. Simpson, B. (1992). Retaining structure: displacement and design. Géotechnique 42, No. 4, 539-576.
15. Yoder, J. (1981). A strain-space plasticity theory and numerical implementation. PhD thesis, Report No. EERL 80-07, California Institute of Technology.
16. Yoder, J. & Iwan, W. D. (1981). On the formulation of strain-space plasticity with multiple loading surfaces. J. Appl. Mech. 48, 773-778.
17. Ziegler, H. (1977, 2nd edn 1983). An introduction to thermomechanics. Amsterdam: North Holland.