Abstract
This work is devoted to a 3D hybrid numerical-experimental homogenization strategy for determination of elastic characteristics of materials with closed voids. The performed homogenization procedure employs micro-computed tomography (micro–CT) and instrumented indentation testing data (IIT). Based on the micro–CT data a 3D geometrical model of a cubic representative elementary volume (RVE) is created assuming periodic microstructure of the material with closed voids. Creating the RVE respects the following principle of equivalence: the porosity assigned to the RVE is the same as the porosity calculated based on the micro–CT images. Next, this geometrical model is used to generate the respective finite element model where, for simplicity, the voids are considered to have a spherical form. The numerical homogenization technique includes proper periodic boundary conditions with unit force applied in normal and shear directions. The employed constitutive model for the solid phase is the linear elastic model whose parameters are determined based on IIT data. It is performed a validation and verification study using simplified geometries for the RVE and under different assumptions for modelling the voids.
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Acknowledgements
The authors are grateful for the financial support of the Bulgarian National Science Fund, grants KP-06-H27/6 from 08.12.2018 (I.G.), KP-06-Russia-1 from 27.09.2019 (R.I., G.C.) and by the Ministry of Science and Higher Education of the Russian Federation (State task in the field of scientific activity, scientific project No. FENW-2023-0012) (M.C.,E.K.). The financial support by the Science and Education for Smart Growth Operational Program (2014-2020) and the ESIF through grant BG05M2OP001-1.001-0003 is also acknowledged (M.D.).
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Iankov, R. et al. (2023). Evaluation of the Effective Material Properties of Media with Voids Based on Numerical Homogenization and Microstructure Data. In: Georgiev, I., Datcheva, M., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2022. Lecture Notes in Computer Science, vol 13858. Springer, Cham. https://doi.org/10.1007/978-3-031-32412-3_16
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DOI: https://doi.org/10.1007/978-3-031-32412-3_16
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