Thermomechanical formulation of a small-strain model for overconsolidated clays

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 457, Issue 2006, 2001, Pages 425-440

  Puzrin, A M ^a   Houlsby, G T ^c   Burland, J B ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Clay; Functional; Hyperplasticity; Plasticity; Small strain; Soil

Indexed keywords

EID: 57249114433     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0673     Document Type: Article

References (18)

1. Bazant, Z. P. 1978 Endochronic inelasticity and incremental plasticity. Int. J. Solids Structures 14, 691.
2. Burland, J. B. 1989 Small is beautiful-the stiffness of soil at small strains. Ninth Laurits Bjerrum memorial lecture. Can. Geotech. J. 16, 499-516.
3. Burland, J. B. & Georgiannou, V. N. 1991 Small strain stiffness under generalised stress changes. In Proc. 10th Eur. Conf. Soil Mech. Found. Eng., Florence, vol. 1, pp. 41-44.
4. Collins, I. F. & Houlsby, G. T. 1997 Application of thermomechanical principles to the modelling of geotechnical materials. Proc. R. Soc. Land. A 53, 1975-2001.
5. Ring, Y. C. 1965 Foundations of solid mechanics. Englewood Cliffs, NJ: Prentice-Hall.
6. Graham, J. & Houlsby, G. T. 1983 Elastic anisotropy of a natural clay. Géotechnique 33, 165-180.
7. Corrigendum. Géotechnique 33, 354.
8. Houlsby, G. T. 1979 The work input to a granular material. Géotechnique 29, 354-358.
9. Houlsby, G. T. 1981 A study of plasticity theories and their applicability to soils. PhD thesis, Cambridge University.
10. Houlsby, G. T. & Puzrin, A. M. 2000 A thermomechanical framework for constitutive models for rate-independent dissipative materials. Int. J. Plasticity 16, 1017-1047.
11. Mroz, Z. & Morris, V. A. 1982 Elastoplastic and viscoplastic constitutive models for soils with application to cyclic loading. In Soil mechanics-transient and cyclic loads (ed. G. N. Pande & O. C. Zienkiewicz), pp. 173-218. Wiley.
12. Puzrin, A. M. & Burland, J. B. 1996 A logarithmic stress-strain function for rocks and soils. Géotechnique 46, 157-164.
13. Puzrin, A. M. & Burland, J. B. 1998 Non-linear model of small-strain behaviour of soils. Géotechnique 48, 217-233.
14. Puzrin, A. M. & Houlsby, G. T. 2001 A thermomechanical framework for rate-independent dissipative materials with internal functions. Int. J. Plasticity. (In the press.)
15. Reddy, B. D. & Martin, J. B. 1994 Internal variable formulations of problems in elastoplasticity: constitutive and algorithmic aspects. Appl. Mech. Rev. 47, 429-456.
16. Valanis, K. C. 1975 On the foundations of endochronic theory of viscoplasticity. Arch. Mech. 27, 857.
17. Ziegler, H. 1959 A modification of Prager's hardening rule. Q. Appl. Math. 17, 55-65.
18. Ziegler, H. 1983 An introduction to thermomechanics, 2nd edn. Amsterdam: North-Holland.