2018/04/20 by Erol Lale, Lale, Erol, Roozbeh Rezakhani +5
Engineering · #Innovations in Concrete and Construction Materials #Geotechnical Engineering and Soil Stabilization #Grouting, Rheology, and Soil Mechanics
paper · pdf · doi:10.48550/arxiv.1804.07787
In this study, a coarse-graining framework for discrete models is formulated\non the basis of multiscale homogenization. The discrete model considered in\nthis paper is the Lattice Discrete Particle Model (LDPM), which simulates\nconcrete at the level of coarse aggregate pieces. In LDPM, the size of the\naggregate particles follows the actual particle size distribution that is used\nin experiment to produce concrete specimens. Consequently, modeling large\nstructural systems entirely with LDPM leads to a tremendous number of degrees\nof freedom and is not feasible with the currently available computational\nresources. To overcome this limitation, this paper proposes the formulation of\na coarse-grained model obtained by (1) increasing the actual size of the\nparticles in the fine-scale model by a specific coarsening factor and (2)\ncalibrating the parameters of the coarse grained model by best fitting the\nmacroscopic, average response of the coarse grained model to the corresponding\nfine scale one for different loading conditions. A Representative Volume\nElement (RVE) of LDPM is employed to obtain the macroscopic response of the\nfine scale and coarse grained models through a homogenization procedure.\nAccuracy and efficiency of the developed coarse graining method is verified by\ncomparing the response of fine scale and coarse grained simulations of several\nreinforced concrete structural systems in terms of both accuracy of the results\nand computational cost.\n