Fracture in concrete specimens of differing scale

A planar lattice network of beam elements is used to study the mechanisms of fracture in cement‐based materials. Beam properties are controlled by a nonlinear elastic fracture law which roughly accounts for three‐dimensionality of the material and fracture process. Special attention is given to modeling toughening mechanisms associated with aggregate‐matrix interface failure. The distributions of damage and fracture energy consumption are resolved at the material mesoscale and are shown to depend on strain gradient. An adaptive remeshing procedure is used to reduce computational cost and enable analyses of specimens of significantly differing scale, while keeping the lattice density constant. Larger process zones, higher specific fracture energies, and lower specific peak loads are obtained with increasing specimen size, in agreement with published test results. These computations provide information useful in developing refined macromodels for engineering analyses.