Speaker
Description
The relaxed micromorphic model (RMM) is an enriched model that uses the kinematics of the classical micromorphic theory but employs a relaxed curvature in terms of the Curl of the microdistortion field instead of the full gradient [1]. This leads to many advantages that other higher-order continua do not exhibit [2,3]. The most important feature is that the RMM operates as a two-scale linear elastic model between macroscopic and microscopic linear elastic scales. However, identifying the unknown parameters is still an open research topic.
In our talk, we present our recent findings regarding the homogenizing of metamaterials into the RMM [4]. We present a novel homogenization scheme based on the least square minimization of the energies obtained for different sizes and many deformation modes. The results of the RMM, Cosserat and classical micromorphic models are compared.
REFERENCES
[1] P. Neff, I.D. Ghiba, A. Madeo, L. Placidi and G. Rosi. A unifying perspective: the relaxed linear micromorphic continuum. Continuum Mechanics and Thermodynamics 26,639-681(2014).
[2] J. Schröder, M. Sarhil, L. Scheunemann and P. Neff. Lagrange and H(curl,B) based Finite Element formulations for the relaxed micromorphic model, Computational Mechanics 70, pages 1309–1333 (2022).
[3] M. Sarhil, L. Scheunemann, J. Schröder, P. Neff. Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model. Computational Mechanics 72, 1091–1113 (2023).
[4] M. Sarhil, L. Scheunemann, J. Schröder, P. Neff. A computational approach to identify the material parameters of the relaxed micromorphic model. Computer Methods in Applied Mechanics and Engineering 425, 116944, (2024).
