For a tetragonal periodic metamaterial, the micro-scale stiffness tensor is determined as the least upper bound (Löwner supremum) of unit-cell apparent stiffnesses under affine Dirichlet conditions, and the meso-scale tensor follows from the harmonic mean relation with the homogenized macro…
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Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization
For a tetragonal periodic metamaterial, the micro-scale stiffness tensor is determined as the least upper bound (Löwner supremum) of unit-cell apparent stiffnesses under affine Dirichlet conditions, and the meso-scale tensor follows from the harmonic mean relation with the homogenized macro…