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International Journal for Multiscale Computational Engineering
Eigendeformation-Based Homogenization of Concrete
Rensselaer Polytechnic Institute
Multiscale Design Systems, LLC
280 Park Avenue South
New York, NY 10010, USA
Civil Engineering and Engineering Mechanics, Columbia University, New York, New York
A two-scale approach based on eigendeformation-based homogenization is explored to predict the behavior of concrete targets subjected to impact loading by high-speed projectiles. The method allows us to account for micromechanical features of concrete at a computational cost comparable to single-scale phenomenological models of concrete. The inelastic behavior of concrete is modeled using three types of eigenstrains. The eigenstrains in the mortar phase include pore compaction (or lock-in), rate-dependent damage, and plasticity eigenstrains, whereas the inelastic behavior of aggregates is assumed to be governed by plasticity only. Material parameters were identified using inverse methods against unconfined compression and uniaxial compression tests. A unit cell was constructed from a 3D digital image of concrete. The eigendeformation-based homogenization approach was validated for projectile penetration into a concrete target. The simulation results were found to be in reasonable agreement with the experimental data. Attention is restricted to nonreinforced concrete.
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