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This paper presents a new adaptive multiscale homogenization scheme for thesimulation of damage and fracture in concrete structures. A two-scalehomogenization method, coupling meso-scale discrete particle models to macro-scale finite element models, is formulated into an adaptive framework. Acontinuum multiaxial failure criterion for concrete is calibrated on the basisof fine-scale simulations, and it serves as the adaptive criterion in themultiscale framework. Thus, in this approach, simulations start withoutassigning any material Representative Volume Element (RVE) to the macro-scalefinite elements. The finite elements that meet the adaptive criterion and mustbe entered into the multiscale homogenization framework are detected on thefly. This leads to a substantial reduction of the computational cost especiallyfor loading conditions leading to damage localization in which only a smallportion of the FE mesh is enriched with the homogenized RVE. Several numericalsimulations are carried out to investigate the capability of the developedadaptive homogenization method. In addition, a detailed study on thecomputational cost is performed.

Adaptive Multiscale Homogenization of the Lattice Discrete Particle Model for the Analysis of Damage and Fracture in Concrete