Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem
In this paper, a novel parameter determination technique is developed for mate-
rial models in continuum mechanics aimed at describing metamaterials. Owing
to their peculiar mechanical properties and behaviors, such as extreme elasticity
or high strength-to-weight ratio, metamaterials are of interest to be simulated by
reduced-order modeling by means of the generalized mechanics. Such models
incorporate constitutive parameters to be determined; we develop an automa-
tized optimization process specifically for obtaining metamaterials parameters.
The process aims at minimizing a mechanically meaningful error function mea-
suring the deviation of the continuum from a detailed description by using the
Trust Region Reflective optimization method. The parameter identification pro-
cedure is tested for an exemplary extension experiment of a metamaterial, prov-
ing to be robust and reliable.