000K utf8 1100 $c2023 1500 eng 2050 urn:nbn:de:gbv:8:3-2025-00072-2 2051 10.1002/adts.202300272 3000 Kovalev, Alexander 3010 Filippov, Alexander E. 3010 Gorb, Stanislav 4000 2D Mathematical Model of Damping in Cellular Materials$hWiley [Kovalev, Alexander] 4030 $nWiley 4209 Many biological materials may be considered as cellular materials, for example, soft tissues, but also bones, wood, or foam-like medulla in a bird feather. The cells may be filled with a fluid or just with air, have different size, shape, and wall thickness. Less is known about how the mechanical and morphological parameters of the cellular materials influence their biologically relevant functions. A simple descriptive 2D numerical model of a cellular material based on Voronoi diagrams is presented here which aims prompt investigation how structural parameters influence its physical properties. The preliminary numerical simulations demonstrate that with an increasing wall thickness the energy dissipation increases and with an increasing cell density also an average stress increases. Other interesting results are that an increased dissipation constant of cellular material reduces the stress, and that in hierarchical foams the dissipation takes place mostly in the thick walls. The presented approach allows screening the influence of further material features and structural parameters, such as for example, different kinds of gradients or different properties of biological or biologically inspired cellular materials at different loading conditions. Direct comparison of different real biological structures could be also performed, especially when real experimental measurements are impossible. 4950 https://doi.org/10.1002/adts.202300272$xR$3Volltext$534 4950 https://nbn-resolving.org/urn:nbn:de:gbv:8:3-2025-00072-2$xR$3Volltext$534 4961 https://macau.uni-kiel.de/receive/macau_mods_00005593 5051 590 5550 cellular materials 5550 feather 5550 foam 5550 model 5550 Voronoi diagram