An Algorithm for Computing the Compressive Strength of Heterogeneous Cohesive-Frictional Materials - Application to Cement Paste
F P. Ganneau, F -. Ulm, J Gondzio, Edward Garboczi
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 non-linear optimizers based on the interior point method. The algorithm is validated for a laminated composite material, for which an analytical solution is available; and them applied to 2-D slices of 3-D digital microstructural models of cement paste. It is shown that the algorithm converges with mesh refinement towards experimental results.
, Ulm, F.
, Gondzio, J.
and Garboczi, E.
An Algorithm for Computing the Compressive Strength of Heterogeneous Cohesive-Frictional Materials - Application to Cement Paste, International Journal of Solids and Structures
(Accessed December 3, 2021)