Publication de 6 numéros par an
ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352
Indexed in
MICROMORPHIC TWO-SCALE MODELLING OF PERIODIC GRID STRUCTURES
RÉSUMÉ
The present contribution focuses on the numerical homogenization of periodic grid structures. In order to investigate the micro-to-macroscale transition, a consistent numerical homogenization scheme will be presented, replacing a heterogeneous Cauchy microcontinuum by a homogeneous micromorphic substitute continuum on the macroscale. The extended degrees of freedom, namely, the microdeformation and its gradient, are to be interpreted in terms of geometrical deformation modes and the related loading conditions of the underlying unit cells. Assuming strain energy equivalence of the macro- and the microscale, the effective constitutive properties of a square and a honeycomb grid structure are identified and quantitatively validated in comparison to reference calculations with microscopic resolution.
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Hütter Geralf, Mühlich Uwe, Kuna Meinhard, Micromorphic homogenization of a porous medium: elastic behavior and quasi-brittle damage, Continuum Mechanics and Thermodynamics, 27, 6, 2015. Crossref
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Jänicke R., Quintal B., Steeb H., Numerical homogenization of mesoscopic loss in poroelastic media, European Journal of Mechanics - A/Solids, 49, 2015. Crossref
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Jung Anne, Grammes Thilo, Diebels Stefan, Micro-structural motivated phenomenological modelling of metal foams: experiments and modelling, Archive of Applied Mechanics, 85, 8, 2015. Crossref
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Moore John A., Li Ying, O'Connor Devin T., Stroberg Wylie, Liu Wing Kam, Advancements in multiresolution analysis, International Journal for Numerical Methods in Engineering, 102, 3-4, 2015. Crossref
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Hütter Geralf, Application of a microstrain continuum to size effects in bending and torsion of foams, International Journal of Engineering Science, 101, 2016. Crossref
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Bazdid-Vahdati Majid, Faraji Oskouie Mohammad, Ansari Reza, Rouhi Hessam, Finite element analysis of micromorphic and micropolar continua based on two-dimensional elasticity, Mathematics and Mechanics of Solids, 24, 6, 2019. Crossref
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Jung Anne, Diebels Stefan, Micromechanical Characterization of Metal Foams, Advanced Engineering Materials, 21, 8, 2019. Crossref
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Dirrenberger Justin, Forest Samuel, Jeulin Dominique, Computational Homogenization of Architectured Materials, in Architectured Materials in Nature and Engineering, 282, 2019. Crossref
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Pham Rinh Dinh, Hütter Geralf, Influence of topology and porosity on size effects in stripes of cellular material with honeycomb structure under shear, tension and bending, Mechanics of Materials, 154, 2021. Crossref