TY - GEN
T1 - Approximations of the macroscopic strength criterion of reinforced soils, with application to structural stability analyses
AU - Gueguin, M.
AU - Hassen, G.
AU - De Buhan, P.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - The macroscopic strength properties of a stone column reinforced soil are investigated numerically. Using the kinematic approach of the yield design theory applied to the reinforced soil's unit cell, a numerical upper bound estimate of its strength domain is provided. Since this domain cannot be used directly for a structural stability analysis, an approximation method is performed, using a sum of ellipsoidal sets. The result is a rigorous upper bound estimate for the macroscopic strength criterion depending on few parameters. The relative error of this method is quantified not exceeding a few percents. Then, this approximation is used in order to treat the problem of an embankment resting upon a stone column reinforced soil. Again, performing the kinematic approach on this structure, a rigorous upper bound estimate of the ultimate stability factor is obtained numerically. The gain in terms of ultimate capacity improvement is observed, as compared to the non reinforced configuration. This result is compared to a simplified analysis, based on a rule of mixture formula, where strong disparities are highlighted.
AB - The macroscopic strength properties of a stone column reinforced soil are investigated numerically. Using the kinematic approach of the yield design theory applied to the reinforced soil's unit cell, a numerical upper bound estimate of its strength domain is provided. Since this domain cannot be used directly for a structural stability analysis, an approximation method is performed, using a sum of ellipsoidal sets. The result is a rigorous upper bound estimate for the macroscopic strength criterion depending on few parameters. The relative error of this method is quantified not exceeding a few percents. Then, this approximation is used in order to treat the problem of an embankment resting upon a stone column reinforced soil. Again, performing the kinematic approach on this structure, a rigorous upper bound estimate of the ultimate stability factor is obtained numerically. The gain in terms of ultimate capacity improvement is observed, as compared to the non reinforced configuration. This result is compared to a simplified analysis, based on a rule of mixture formula, where strong disparities are highlighted.
UR - https://www.scopus.com/pages/publications/84907378446
U2 - 10.1201/b17435-199
DO - 10.1201/b17435-199
M3 - Conference contribution
AN - SCOPUS:84907378446
SN - 9781138001480
T3 - Computer Methods and Recent Advances in Geomechanics - Proceedings of the 14th Int. Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
SP - 1139
EP - 1144
BT - Computer Methods and Recent Advances in Geomechanics - Proc. of the 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
PB - Taylor and Francis - Balkema
T2 - 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014
Y2 - 22 September 2014 through 25 September 2014
ER -