Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization
| Autor: | Neff, Patrizio, Eidel, Bernhard, d'Agostino, Marco Valerio, Madeo, Angela |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | We rigorously determine the scale-independent short range elastic parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure. This is done using both classical periodic homogenization and a new procedure involving the concept of apparent material stiffness of a unit-cell under affine Dirichlet boundary conditions and Neumann's principle on the overall representation of anisotropy. We explain our idea of "maximal" stiffness of the unit-cell and use state of the art first order numerical homogenization methods to obtain the needed parameters for a given tetragonal unit-cell. These results are used in the accompanying paper [16] to describe the wave propagation including band-gaps in the same tetragonal metamaterial. Comment: To appear in Journal of Elasticity. arXiv admin note: text overlap with arXiv:1709.07054 |
| Databáze: | arXiv |
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