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A meso-scale analysis is performed to determine the fracture process zone ofconcrete subjected to uniaxial tension. The meso-structure of concrete isidealised as stiff aggregates embedded in a soft matrix and separated by weakinterfaces. The mechanical response of the matrix, the inclusions and theinterface between the matrix and the inclusions is modelled by a discretelattice approach. The inelastic response of the lattice elements is describedby a damage approach, which corresponds to a continuous reduction of thestiffness of the springs. The fracture process in uniaxial tension isapproximated by an analysis of a two-dimensional cell with periodic boundaryconditions. The spatial distribution of dissipated energy density at themeso-scale of concrete is determined. The size and shape of the deterministicFPZ is obtained as the average of random meso-scale analyses. Additionally,periodicity of the discretisation is prescribed to avoid influences of theboundaries of the periodic cell on fracture patterns. The results of theseanalyses are then used to calibrate an integral-type nonlocal model.

Meso-scale approach to modelling the fracture process zone of concrete subjected to uniaxial tension