TY - JOUR
T1 - An algorithm for computing the compressive strength of heterogeneous cohesive-frictional materials - Application to cement paste
AU - Ganneau, Francois
AU - Ulm, Franz-Jozef
AU - Gondzio, Jacek
AU - Garboczi, Ed
PY - 2007
Y1 - 2007
N2 - An algorithm based on a finite element discretization of the lower bound yield theorem is applied to digital images, which allows the determination of the compressive strength of highly heterogeneous materials following a Drucker–Prager (or Mohr–Coulomb) yield criterion. The resulting optimization problem is usually very large and sparse and is solved using recent nonlinear optimizers based on the interior point method. The algorithm is validated for a laminated composite material, for which an analytical solution is available; and then applied to 2D slices of 3D digital microstructural models of cement paste. It is shown that the algorithm converges with mesh refinement towards experimental results.
AB - An algorithm based on a finite element discretization of the lower bound yield theorem is applied to digital images, which allows the determination of the compressive strength of highly heterogeneous materials following a Drucker–Prager (or Mohr–Coulomb) yield criterion. The resulting optimization problem is usually very large and sparse and is solved using recent nonlinear optimizers based on the interior point method. The algorithm is validated for a laminated composite material, for which an analytical solution is available; and then applied to 2D slices of 3D digital microstructural models of cement paste. It is shown that the algorithm converges with mesh refinement towards experimental results.
U2 - 10.1016/j.compgeo.2007.02.005
DO - 10.1016/j.compgeo.2007.02.005
M3 - Article
SN - 0266-352X
VL - 34
SP - 254
EP - 266
JO - Computers and Geotechnics
JF - Computers and Geotechnics
ER -