ISSN Print: 1543-1649
ISSN Online: 1940-4352
Volume 17, 2019
Volume 16, 2018
Volume 15, 2017
Volume 14, 2016
Volume 13, 2015
Volume 12, 2014
Volume 11, 2013
Volume 10, 2012
Volume 9, 2011
Volume 8, 2010
Volume 7, 2009
Volume 6, 2008
Volume 5, 2007
Volume 4, 2006
Volume 3, 2005
Volume 2, 2004
Volume 1, 2003
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.
Bazant, Z. P., Caner, F. C., Carol, I., Adley, M. D., and Akers, S. A.,
Microplane model M4 for concrete: I. Formulation with work-conjugate deviatoric stress.
Cusatis, G., Pelessone, D., Mencarelli, A., and Baylot, J. T.,
Simulation of reinforced concrete structures under blast and penetration through lattice discrete particle modeling.
Fish, J. and Yuan, Z.,
N-scale model reduction theory. In Bridging the Scales in Science and Engineering.
Forrestal, M. J.,
A spherical cavity-expansion penetration model for concrete targets.
Forrestal, M. J., Frew, D. J., Hanchak, S. J., and Brar, N. S.,
Penetration of grout and concrete targets with ogive-nose steel projectiles.
Forrestal, M. J., Frew, D. J., Hickerson, J. P., and Rohwer, T. A.,
Penetration of concrete targets with deceleration-time measurements.
Foster, C. D., Regueiro, R. A., Fossum, A. F., and Borja, R. I.,
Implicit numerical integration of a three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials.
Frew, D. J., Hanchak, S. J., Green, M. L., and Forrestal, M. J.,
Penetration of concrete targets with ogive-nose steel rods.
Frew, D. J.,
Conventional strength portland cement (cspc) concrete instrumented penetration results.
Gal, E. and Fish, J.,
Anisotropic Micromechanical creep damage model for composite materials: A reduced-order approach.
Gal, E., Yuan, Z., Wu, W., and Fish, J.,
A multiscale design system for fatigue life prediction.
Hain, H. and Wriggers, P.,
Computational homogenization of micro-structural damage due to frost in hardened cement paste.
Ju, J. W., Monteiro, P. J. M., and Rashed, A. I.,
On continuum damage of cement paste and mortar as affected by porosity and sand concentration.
Lackner, R., Mang, H. A., and Pichler, C.,
Computational concrete mechanics. In Encyclopedia of Computational Mechanics.
Lubliner, J., Oliver, J., Oller, S., and Onate, E.,
A plastic-damage model for concrete.
Mounajed, G., Grondin, F., Dumontet, H., and Ben Hamid, A.,
Digital concrete: A multi-scale approach for the concrete behavior.
Nagai, G. and Yamada, T.,
Three-dimensional finite element modeling for concrete materials using digital image and embedded discontinuous element.
Ortiz, M. and Popov, E. P.,
Plain concrete as a composite material.
A constitutive theory for the inelastic behavior of concrete.
An analytical study of the localized failure modes of concrete.
Oskay, C. and Fish, J.,
Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials.
Polanco-Loria, M., Hopperstad, O. S., Borvik, T., and Berstad, T.,
Numerical predictions of ballistic limits for concrete slabs using a modified version of the HJC concrete model.
Salari, M. R., Saeb, S., Willam, K. J., Patchet, S. J., and Carrasco, R. C.,
A coupled elastoplastic damage model for geomaterials.
Experimental and numerical analysis of fracture processes in concrete.
Simo, J. C. and Hughes, T. J. R.,
Tham, C. Y.,
Numerical and empirical approach in predicting the penetration of a concrete target by an ogive-nosed projectile.
Tikhomirov, D. and Stein, E.,
Finite element computations of anisotropic continuum damage in reinforced concrete.
Warren, T. L., Fossum, A. F., and Frew, D. J.,
Penetration into low-strength (23MPa) concrete: Target characterization and simulations.
Wu, J. Y., Li, J., and Faria, R.,
An energy release rate-based plastic-damage model for concrete.
Yuan, Z. and Fish, J.,
Hierarchical model reduction at multiple scales.
Yuan, Z. and Fish, J.,
Multiple scale eigendeformation-based reduced order homogenization.
Articles with similar content:
Chemical Complexity in Mechanical Deformation of Metals
International Journal for Multiscale Computational Engineering, Vol.5, 2007, issue 3-4
Dipanjan Sen, Markus J. Buehler
Macroscopic Constitutive Law for Mastic Asphalt Mixtures from Multiscale Modeling
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 1
Michal Sejnoha, Jan Zeman, Richard Valenta
AN IMPROVED HOMOGENIZATION OF INELASTIC COMPOSITES
International Journal for Multiscale Computational Engineering, Vol.13, 2015, issue 3
A MULTISCALE APPROACH FOR THERMO-MECHANICAL SIMULATIONS OF LOADING COURSES IN CAST IRON BRAKE DISCS
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 1
Stefan Schmid, Daniel Schneider, Michael Selzer, Christoph Herrmann, Britta Nestler
VARIATIONAL INEQUALITIES FOR HETEROGENEOUS MICROSTRUCTURES BASED ON COUPLE-STRESS THEORY
International Journal for Multiscale Computational Engineering, Vol.16, 2018, issue 2
Sonjoy Das, Gary F. Dargush, Ali R. Hadjesfandiari, Sourish Chakravarty