Application of thermomechanical principles to the modelling of geotechnical materials

10.1002/nag.1610080206

10.1680/geot.1979.29.4.469

Callen H. B. 1960 Thermodynamics. New York: Wiley.

10.1016/0022-5096(85)90012-2

10.1002/nag.1610120403

10.1016/0020-7225(90)90018-E

10.1090/qam/48291

10.1090/qam/1040234

10.1115/1.3167184

Halphen B., 1975, Sur les materiaux standards generalises, J. Mec., 14, 39

10.1137/0125045

10.1016/0022-5096(59)90007-9

Hill R., 1978, Aspects of invariance in solid mechanics, Adv. Appl. Mech., 18, 39

10.1016/0022-5096(87)90025-1

10.1680/geot.1979.29.3.354

Houlsby G. T. 1981 A study of plasticity theories and their applicability to soils. Ph.D. thesis University of Cambridge.

Houlsby G. T. 1982 A derivation of the small-strain incremental theory of plasticity form thermodynamics. Proc. IUTAM Conf. on Deformation and Failure of Granular Materials Delft pp. 109-118.

Houlsby G. T. 1993 Interpretation of dilation as a kinematic constraint. Modern approaches to plasticity (ed. D. Kolymbas) pp. 19-38. New York: Elsevier.

Kestin J. & Rice J. R. 1970 Paradoxes in the application of thermodynamics to strained solids. A critical review of thermodynamics (ed. E. B. Stuart et al.) pp. 275-298. Baltimore: Mono Book Corp.

10.1016/0266-352X(88)90053-5

Lemaitre J. & Chaboche J. L. 1990 Mechanics of solid materials. Cambridge University Press.

Lippmann H. 1972 Extremum and variational principles in mechanics. CISM-Courses and lectures vol. 54. Vienna: Springer.

10.1016/0020-7462(72)90048-0

Lubliner J. 1990 Plasticity theory. New York: Macmillian.

Maier G. & Hueckel T. 1977 Nonassociated and coupled flow rules of elastoplasticity for geotechnical media. Proc. 9th Int. Conf. Soil Mech. Found. Eng. Tokyo Speciality session 7 Constitutive relations for soils pp. 129-142.

10.1007/BF00989118

Matsuoka H., 1974, Stress-deformation and strength characteristics of soil under three different principal stresses, Proc. JSCE, 232, 59

Maugin G. A 1992 The thermodynamics of plasticity and fracture. Cambridge University Press.

10.1002/nag.1610180206

Moreau J. J., 1970, Sur les lois de frottement, de viscosite et de plasticite, C. R. Acad. Sci., 271, 608

Prevost J. H. 1987 Modelling the behaviour of geomaterials. Geotechnical modeling and applications (ed. S. M. Sayed) pp. 8-75. Houston TX: Gulf.

10.1115/1.3111086

10.1016/0022-5096(71)90010-X

10.1007/BF01591007

Sewell M. J. 1982 Legendre transformations and extremum principles. Mechanics of solids The Rodney Hill 60th anniversary volume (ed. H. G. Hopkins & M. J. Sewell) pp. 563-605. Oxford: Pergamon.

Sewell M. J. 1987 Maximum and minimum principles. Cambridge University Press.

10.1073/pnas.40.7.593

Truesdell C. 1969 Rational thermodynamics. New York: McGraw-Hill.

Wood D. M. 1990 Soil behaviour and critical state soil mechanics. Cambridge University Press.

10.1090/qam/99737

10.1016/0020-7462(75)90032-3

10.1007/BF00536486

Ziegler H. 1983 An introduction to thermomechanics 2nd edn. Amsterdam: North-Holland.

10.1016/S0065-2156(08)70278-3