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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v8.i1.20
pages 1-15

Eigendeformation-Based Homogenization of Concrete

Wei Wu
Rensselaer Polytechnic Institute
Zheng Yuan
Multiscale Design Systems, LLC 280 Park Avenue South New York, NY 10010, USA
Jacob Fish
Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027, USA


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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