Publication de 6 numéros par an
ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352
Indexed in
On the Implementation of Plane Stress in Computational Multiscale Modeling
RÉSUMÉ
Different aspects of the plane stress condition in concurrent two-scale computational (first-order) homogenization are discussed. The basic ingredient in computational homogenization is the calculation of the macroscale stress, for given macroscale deformation, via computations on a representative volume element (RVE). Two modeling assumptions are compared: The subscale (Hill-type) and macroscale-type (Taylor-type) plane stress conditions. The corresponding iterative strategies and the macroscale algorithmic tangent operators are derived using the primal (conventional) approach. The performance of the various iterative strategies are compared for a single RVE problem as well as in a fully concurrent analysis of a complex substructure (duplex stainless steel) under realistic subscale modeling based on crystal plasticity with hardening.
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Larsson F., Runesson K., Saroukhani S., Vafadari R., Computational homogenization based on a weak format of micro-periodicity for RVE-problems, Computer Methods in Applied Mechanics and Engineering, 200, 1-4, 2011. Crossref
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Helfen C., Diebels S., A numerical homogenisation method for sandwich plates based on a plate theory with thickness change, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 93, 2-3, 2013. Crossref
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Sandström Carl, Larsson Fredrik, Runesson Kenneth, Johansson Håkan, A two-scale finite element formulation of Stokes flow in porous media, Computer Methods in Applied Mechanics and Engineering, 261-262, 2013. Crossref
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Dutra Thiago Assis, Ferreira Rafael Thiago Luiz, Resende Hugo Borelli, Guimarães Alessandro, Guedes José Miranda, A complete implementation methodology for Asymptotic Homogenization using a finite element commercial software: preprocessing and postprocessing, Composite Structures, 245, 2020. Crossref
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Hii Aewis K.W., El Said Bassam, A kinematically consistent second-order computational homogenisation framework for thick shell models, Computer Methods in Applied Mechanics and Engineering, 398, 2022. Crossref
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Dutra Thiago Assis, Ferreira Rafael Thiago Luiz, Resende Hugo Borelli, Oliveira Luís Miguel, Blinzler Brina Jane, Asp Leif E., Identification of Representative Equivalent Volumes on the Microstructure of 3D-Printed Fiber-Reinforced Thermoplastics Based on Statistical Characterization, Polymers, 14, 5, 2022. Crossref