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ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352
Indexed in
Assessment of Periodic Homogenization-Based Multiscale Computational Schemes for Quasi-Brittle Structural Failure
Краткое описание
New methods for the modeling of structural failure by means of multiscale approaches were recently proposed, in which the structural description involves coarse-scale discontinuities, the behavior of which is fed by representative volume element (RVE) computations. Their main asset consists in identifying the material response, including the failure behavior of the material, from fine-scale material parameters and computations. One of the distinctions between the available approaches relates to the boundary conditions applied on the RVE. The methods based on classical computational homogenization usually make use of periodic boundary conditions. This assumption remains a priori debatable for the localized behavior of quasi-brittle materials. For the particular case of periodic materials (masonry), the level of approximation induced by the periodic assumption is scrutinized here. A new displacement discontinuity-enhanced-scale transition is therefore outlined based on energetic consistency requirements. The corresponding multiscale framework results are compared to complete fine-scale modeling results used as a reference, showing a good agreement in terms of limit load, and in terms of failure mechanisms both at the fine-scale and at the overall structural level.
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Milani Gabriele, Lourenço Paulo B., Monte Carlo homogenized limit analysis model for randomly assembled blocks in-plane loaded, Computational Mechanics, 46, 6, 2010. Crossref
-
Souza Flavio V., Allen David H., Modeling the transition of microcracks into macrocracks in heterogeneous viscoelastic media using a two-way coupled multiscale model, International Journal of Solids and Structures, 48, 22-23, 2011. Crossref
-
Nguyen Vinh Phu, Lloberas-Valls Oriol, Stroeven Martijn, Sluys Lambertus Johannes, Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks, Computer Methods in Applied Mechanics and Engineering, 200, 9-12, 2011. Crossref
-
Pelà Luca, Cervera Miguel, Roca Pere, Continuum damage model for orthotropic materials: Application to masonry, Computer Methods in Applied Mechanics and Engineering, 200, 9-12, 2011. Crossref
-
Nguyen Vinh Phu, Lloberas-Valls Oriol, Stroeven Martijn, Sluys Lambertus Johannes, Computational homogenization for multiscale crack modeling. Implementational and computational aspects, International Journal for Numerical Methods in Engineering, 89, 2, 2012. Crossref
-
Nguyen Vinh Phu, Stroeven Martijn, Sluys Lambertus Johannes, An enhanced continuous–discontinuous multiscale method for modeling mode-I cohesive failure in random heterogeneous quasi-brittle materials, Engineering Fracture Mechanics, 79, 2012. Crossref
-
Phu Nguyen Vinh, Lloberas-Valls Oriol, Stroeven Martijn, Johannes Sluys Lambertus, On the existence of representative volumes for softening quasi-brittle materials – A failure zone averaging scheme, Computer Methods in Applied Mechanics and Engineering, 199, 45-48, 2010. Crossref
-
Mercatoris B. C. N., Massart T. J., A coupled two-scale computational scheme for the failure of periodic quasi-brittle thin planar shells and its application to masonry, International Journal for Numerical Methods in Engineering, 85, 9, 2011. Crossref
-
Nguyen Vinh Phu, Stroeven Martijn, Sluys Lambertus Johannes, Multiscale failure modeling of concrete: Micromechanical modeling, discontinuous homogenization and parallel computations, Computer Methods in Applied Mechanics and Engineering, 201-204, 2012. Crossref
-
Sýkora Jan, Krejčí Tomáš, Kruis Jaroslav, Šejnoha Michal, Computational homogenization of non-stationary transport processes in masonry structures, Journal of Computational and Applied Mathematics, 236, 18, 2012. Crossref
-
Milani Gabriele, Lourenço Paulo B., A simplified homogenized limit analysis model for randomly assembled blocks out-of-plane loaded, Computers & Structures, 88, 11-12, 2010. Crossref
-
Piezel B., Mercatoris B.C.N., Trabelsi W., Laiarinandrasana L., Thionnet A., Massart T.J., Bending effect on the risk for delamination at the reinforcement/matrix interface of 3D woven fabric composite using a shell-like RVE, Composite Structures, 94, 8, 2012. Crossref
-
NGUYEN VINH PHU, STROEVEN MARTIJN, SLUYS LAMBERTUS JOHANNES, MULTISCALE CONTINUOUS AND DISCONTINUOUS MODELING OF HETEROGENEOUS MATERIALS: A REVIEW ON RECENT DEVELOPMENTS, Journal of Multiscale Modelling, 03, 04, 2011. Crossref
-
Berke P. Z., Peerlings R. H. J., Massart T. J., Geers M. G. D., A homogenization-based quasi-discrete method for the fracture of heterogeneous materials, Computational Mechanics, 53, 5, 2014. Crossref
-
Greco Fabrizio, Leonetti Lorenzo, Luciano Raimondo, Nevone Blasi Paolo, An adaptive multiscale strategy for the damage analysis of masonry modeled as a composite material, Composite Structures, 153, 2016. Crossref
-
Massart Thierry J., Sonon Bernard, Ehab Moustafa Kamel Karim, Poh Leong Hien, Sun Gang, Level set-based generation of representative volume elements for the damage analysis of irregular masonry, Meccanica, 53, 7, 2018. Crossref
-
Greco Fabrizio, Leonetti Lorenzo, Luciano Raimondo, Trovalusci Patrizia, Multiscale failure analysis of periodic masonry structures with traditional and fiber-reinforced mortar joints, Composites Part B: Engineering, 118, 2017. Crossref
-
Schneider Matti, An FFT‐based method for computing weighted minimal surfaces in microstructures with applications to the computational homogenization of brittle fracture, International Journal for Numerical Methods in Engineering, 121, 7, 2020. Crossref
-
Ghazi A., Tiago C., Sonon B., Berke P., Massart T.J., Efficient computational modelling of closed cell metallic foams using a morphologically controlled shell geometry, International Journal of Mechanical Sciences, 168, 2020. Crossref
-
Massart T.J., Ehab Moustafa Kamel K., Hernandez H., Automated geometry extraction and discretization for cohesive zone-based modeling of irregular masonry, in Numerical Modeling of Masonry and Historical Structures, 2019. Crossref
-
Sonon Bernard, Ehab Moustafa Kamel Karim, Massart Thierry J., , 54, 2021. Crossref
-
Massart Thierry J., Kouznetsova Varvara, Peerlings Ron H. J., Geers Marc G. D., Computational Homogenization for Localization and Damage, in Advanced Computational Materials Modeling, 2010. Crossref
-
Abedi Reza, Garrard Justin, Yang Ming, Acton Katherine, Soghrati Soheil, Effect of boundary condition and statistical volume element size on inhomogeneity and anisotropy of apparent properties, Mechanics of Materials, 173, 2022. Crossref