Publicou 6 edições por ano
ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352
Indexed in
NON-LOCAL COMPUTATIONAL HOMOGENIZATION OF PERIODIC MASONRY
RESUMO
Micro-polar and second-order homogenization procedures for periodic elastic masonry have been implemented to include geometric and material length scales in the constitutive equation. From the evaluation of the numerical response of the unit cell representative of the masonry to properly prescribed displacement boundary conditions related to homogeneous macro-strain fields, the elastic moduli of the higher-order continua are obtained on the basis of an extended Hill-Mandel macro-homogeneity condition. Elastic moduli and internal lengths for the running bond masonry are obtained in the case of Cosserat and second-order homogenization. To evaluate these results, a shear layer problem representative of a masonry wall subjected to a uniform horizontal displacement at points on the top is analyzed as a micro-polar and a second-order continuum and the results are compared to those corresponding with the reference heterogeneous model. From this analysis the second-order homogenization appears to provide better results in comparison with the micro-polar homogenization.
-
Bakhvalov, N. S. and Panasenko, G. P., Homogenization: Averaging Processes in Periodic Media.
-
Boutin, C., Micro-structural effects in elastic composites. DOI: 10.1016/0020-7683(95)00089-5
-
Bouyge, F., Jasiuk, I., and Ostoja-Starzewski, M., A micromechanically based couple-stress model of an elastic two-phase composite. DOI: 10.1016/S0020-7683(00)00132-3
-
Bouyge, F., Jasiuk, I., Boccara, S., and Ostoja-Starzewski, M., A micromechanically based couple-stress model of an elastic orthotropic two-phase composite. DOI: 10.1016/S0997-7538(01)01192-5
-
Casolo, S., Macroscopic modelling of structured materials: Relationship between orthotropic Cosserat continuum and rigid elements. DOI: 10.1016/j.ijsolstr.2005.03.037
-
Feyel, F., A multilevel finite element method (FE2) to describe the response of highly non-linear structures using generalized continua. DOI: 10.1016/S0045-7825(03)00348-7
-
Forest, S. and Sab, K., Cosserat overall modeling of heterogeneous materials. DOI: 10.1016/S0093-6413(98)00059-7
-
Gambarotta, L. and Bacigalupo, A., Cosserat homogenization of elastic periodic blocky masonry.
-
Germain, P., The method of virtual power in continuum mechanics. Part 2: Microstructure. DOI: 10.1137/0125053
-
Kaczmarczyk, L., Pearce, C., and Bićanić, N., Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization. DOI: 10.1002/nme.2188
-
Kouznetsova, V. G., Geers, M. G. D., and Brekelmans, W. A. M., Multi-scale second-order computational homogenization of multi-phase materials: A nested finite element solution strategy. DOI: 10.1016/j.cma.2003.12.073
-
Mindlin, R. D., Micro-structure in linear elasticity. DOI: 10.1007/BF00248490
-
Mistler, M., Anthoine, A., and Butenweg, C., In-plane and out-of-plane homogenisation of masonry. DOI: 10.1016/j.compstruc.2006.08.087
-
Peerlings, R. H. J. and Fleck, N. A., Computational evaluation of strain gradient elasticity constants. DOI: 10.1615/IntJMultCompEng.v2.i4.60
-
Salerno, G. and de Felice, G., Continuum modeling of periodic brickwork. DOI: 10.1016/j.ijsolstr.2008.10.034
-
Smyshlyaev, V. P. and Cherednichenko, K. D., On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. DOI: 10.1016/S0022-5096(99)00090-3
-
Sulem, J. and Mühlhaus, H. B., A continuum model for periodic two-dimensional block structures. DOI: 10.1002/(SICI)1099-1484(199701)2:1<31::AID-CFM24>3.0.CO;2-O
-
Triantafyllidis, N. and Bardenhagen, S., The influence of scale size on the stability of periodic solids and the role of associated higher order gradient continuum models. DOI: 10.1016/0022-5096(96)00047-6
-
Trovalusci, P. and Masiani, R., A multifield model for blocky materials based on multiscale description. DOI: 10.1016/j.ijsolstr.2005.03.027
-
Van der Sluis, O., Vosbeek, P. H. J., Schreurs, P. J. G., and Meijer, H. E. H., Homogenization of heterogeneous polymers. DOI: 10.1016/S0020-7683(98)00144-9
-
Bacigalupo Andrea, Gambarotta Luigi, Computational two-scale homogenization of periodic masonry: Characteristic lengths and dispersive waves, Computer Methods in Applied Mechanics and Engineering, 213-216, 2012. Crossref
-
Milani G., Cecchi A., Compatible model for herringbone bond masonry: Linear elastic homogenization, failure surfaces and structural implementation, International Journal of Solids and Structures, 50, 20-21, 2013. Crossref
-
Trovalusci Patrizia, Pau Annamaria, Derivation of microstructured continua from lattice systems via principle of virtual works: the case of masonry-like materials as micropolar, second gradient and classical continua, Acta Mechanica, 225, 1, 2014. Crossref
-
Trovalusci Patrizia, Ostoja-Starzewski Martin, De Bellis Maria Laura, Murrali Agnese, Scale-dependent homogenization of random composites as micropolar continua, European Journal of Mechanics - A/Solids, 49, 2015. Crossref
-
Bacigalupo Andrea, Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits, Meccanica, 49, 6, 2014. Crossref
-
Favata Antonino, Trovalusci Patrizia, Masiani Renato, A multiphysics and multiscale approach for modeling microcracked thermo-elastic materials, Computational Materials Science, 116, 2016. Crossref
-
Cheng Z.B., Xu Y.G., Zhang L.L., Analysis of flexural wave bandgaps in periodic plate structures using differential quadrature element method, International Journal of Mechanical Sciences, 100, 2015. Crossref
-
Como Mario, Virtual displacements principle, existence and uniqueness for elastic no tension bodies, Meccanica, 52, 6, 2017. 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
-
Matouš Karel, Geers Marc G.D., Kouznetsova Varvara G., Gillman Andrew, A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials, Journal of Computational Physics, 330, 2017. Crossref
-
Bacigalupo Andrea, Gambarotta Luigi, Dispersive wave propagation in two-dimensional rigid periodic blocky materials with elastic interfaces, Journal of the Mechanics and Physics of Solids, 102, 2017. Crossref
-
Geers Marc G. D., Kouznetsova Varvara G., Matouš Karel, Yvonnet Julien, Homogenization Methods and Multiscale Modeling: Nonlinear Problems, in Encyclopedia of Computational Mechanics Second Edition, 2017. Crossref
-
Utzig Lukas, Karch Christian, Rehra Jan, Hannemann Benedikt, Schmeer Sebastian, Modeling and simulation of the effective strength of hybrid polymer composites reinforced by carbon and steel fibers, Journal of Materials Science, 53, 1, 2018. Crossref
-
Geers Marc G. D., Kouznetsova Varvara G., Matouš Karel, Yvonnet Julien, Homogenization Methods and Multiscale Modeling: Nonlinear Problems, in Encyclopedia of Computational Mechanics Second Edition, 2017. Crossref
-
Como Mario, Fundamentals of Statics of Masonry Solids and Structures, in Statics of Historic Masonry Constructions, 5, 2016. Crossref
-
Cheng Zhibao, Lin Wenkai, Shi Zhifei, Wave dispersion analysis of multi-story frame building structures using the periodic structure theory, Soil Dynamics and Earthquake Engineering, 106, 2018. Crossref
-
Como Mario, Fundamentals of Statics, in Statics of Historic Masonry Constructions, 9, 2017. Crossref
-
Nino Simona Di, Luongo Angelo, A simple homogenized orthotropic model for in-plane analysis of regular masonry walls, International Journal of Solids and Structures, 167, 2019. Crossref
-
Leonetti Lorenzo, Fantuzzi Nicholas, Trovalusci Patrizia, Tornabene Francesco, Scale Effects in Orthotropic Composite Assemblies as Micropolar Continua: A Comparison between Weak- and Strong-Form Finite Element Solutions, Materials, 12, 5, 2019. Crossref
-
Como Mario, Fundamentals of Statics of Masonry Solids and Structures, in Statics of Historic Masonry Constructions, 1, 2013. Crossref
-
Fantuzzi Nicholas, Trovalusci Patrizia, Dharasura Snehith, Mechanical Behavior of Anisotropic Composite Materials as Micropolar Continua, Frontiers in Materials, 6, 2019. Crossref
-
Baraldi Daniele, De Carvalho Bello Claudia Brito, Cecchi Antonella, Ubertini Filippo, Refined Rigid Block Model for In-Plane Loaded Masonry, Advances in Civil Engineering, 2020, 2020. Crossref
-
Raju Karthikayen, Tay Tong-Earn, Tan Vincent Beng Chye, A review of the FE2 method for composites, Multiscale and Multidisciplinary Modeling, Experiments and Design, 4, 1, 2021. Crossref
-
Bacigalupo Andrea, Gambarotta Luigi, Lepidi Marco, Thermodynamically consistent non-local continualization for masonry-like systems, International Journal of Mechanical Sciences, 205, 2021. Crossref
-
Pantò B., Macorini L., Izzuddin B. A., A two-level macroscale continuum description with embedded discontinuities for nonlinear analysis of brick/block masonry, Computational Mechanics, 69, 3, 2022. Crossref
-
Bacigalupo A., Morini L., Piccolroaz A., Overall thermomechanical properties of layered materials for energy devices applications, Composite Structures, 157, 2016. Crossref
-
Bacigalupo A., Morini L., Piccolroaz A., Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials, International Journal of Solids and Structures, 85-86, 2016. Crossref
-
Greco Fabrizio, Leonetti Lorenzo, Luciano Raimondo, Pascuzzo Arturo, Ronchei Camilla, A detailed micro-model for brick masonry structures based on a diffuse cohesive-frictional interface fracture approach, Procedia Structural Integrity, 25, 2020. Crossref