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