Actes du colloque - Volume 1 - page 645

666
Proceedings of the 18
th
International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
Proceedings of the 18
th
International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
1
2
3
4
5
N

0.2
0.4
0.6
0.8
1
c

[-]
R
=
1
R
=1.5
R
=2
R
=3
Figure 4: Evolution of degree of non-coaxiality with stress ratio,
N
s
for
0
0.24
c
D
»
and
3
N
C
=
3 CONCLUSION
In this paper, the inconsistencies between the non-coaxial
extension of Taylor’s work hypothesis (Gutierrez and Ishihara
2000) and Rowe’s stress-dilatancy theory (Rowe 1962,
Gutierrez and Wang 2009) are discussed. A new non-coaxial
extended Taylor work hypothsis is proposed such that
differences are reconsiled. A semi-emperical equation for
evolution of non-coaxiality with stress ratio is proposed.
4 REFERENCES
Gibson R.E. and Henkel D.J. 1954. Influence of duration of tests at
constant rate of strain on measured “drained” strength.
Géotechnique
4 (1), 6-15.
Darcy H. 1856.
Les fontaines publiques de la ville de Dijon
. Dalmont,
Paris.
Arthur J.R.F., Koenders, M.A.
&
Wong, R.K.S. 1986. Anisotropy in
particle contacts associated with shearing in granular media.
Acta
mechanica
64 (1-2), 19-29.
Roscoe, K.H. 1970. The influence of strains in soil mechanics.
Géotechnique
20 (2), 129-170.
De Josselin De Jong, G. 1976. Rowe’s stress-dilatancy equation based
on friction.
Géotechnique
26 (3), 527-534.
Gutierrez, M. and Wang J. 2009. Non-coaxial version of Rowe’s stress-
dilatancy relation.
Granular Matter
11 (2), 129-137.
Gutierrez M., Ishihara K. Non-coaxiality and energy dissipation in
granular materials. Soils and Foundations 2000; 40 (2):49–59.
Rowe P.W. 1962. Stress-dilatancy relation for static equilibrium of an
assembly of particles in contact.
Proc. R. Soc.
A-269:500-527.
Thornton C. and Zhang, L. 2006. A numerical examination of shear
banding and simple shear non-coaxial flow rules.
Phi. Mag
86
, N0.
21-22, 3425-3452
Taylor D.W. (1948). Fundamentals of soil mechanics. New York:
J.Wiley and Sons.
Tsegaye A.B., Nordal S. and Benz T. 2012. On shear volume coupling
of soils.
2nd Int. Symp. On Constitutive Modeling of Geomaterials.
4
In this paper, the inconsistencies between the non-coaxial
extension of Taylor’s work hypothesis (Gutierrez and Ishihara
2000) and Rowe’s stress-dilatancy theory (Rowe 1962,
Gutierrez and Wang 2009) are discussed. A new non-coaxial
extended Taylor work hypothsis is proposed such that
differences are reconsiled. A semi-emperical equation for
evolutio of non-coaxiality with stress ratio is proposed.
4 REFERENCES
Gibson R.E. and Henkel D.J. 1954. Influence of duration of tests at
constant rate of strain on measured “drained” strength.
Géotechnique
4 (1), 6-15.
Darcy H. 1856.
Les fontaines publiques de la ville de Dijon
. Dalmont,
Paris.
Arthur J.R.F., Koenders, M.A.
&
Wong, R.K.S. 1986. Anisotropy in
particle contacts associated with shearing in granular media.
Acta
mechanica
64 (1-2), 19-29.
Roscoe, K.H. 1970. The influence of strains in soil mechanics.
Géotechnique
20 (2), 129-170.
De Josselin De Jong, G. 1976. Rowe’s stress-dilatancy equation based
on friction.
Géotechnique
26 (3), 527-534.
Gutierrez, M. and Wang J. 2009. Non-coaxial version of Rowe’s stress-
dilatancy relation.
Granular Matter
11 (2), 129-137.
Gutierrez M., Ishihara K. Non-coaxiality and energy dissipation in
granular materials. Soils and Foundations 2000; 40 (2):49–59.
Rowe P.W. 1962. Stress-dilatancy relation for static equilibrium of an
assembly of particles in contact.
Proc. R. Soc.
A-269:500-527.
Thornton C. and Zhang, L. 2006. A numerical examination of shear
banding and simple shear non-coaxial flow rules.
Phi. Mag
86
, N0.
21-22, 3425-3452
Taylor D.W. (1948). Fundamentals of soil mechanics. New York:
J.Wiley and Sons.
Tsegaye A.B., Nordal S. and Benz T. 2012. On shear volume coupling
of soils.
2nd Int. Symp. On Constitutive Modeling of Geomaterials.
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