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.
Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem / Shekarchizadeh, Navid; Emek Abali, Bilen; Barchiesi, Emilio; Bersani, Alberto Maria. - In: ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 1521-4001. - 101:8(2021). [10.1002/zamm.202000277]
Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem
Navid Shekarchizadeh
;Alberto Maria Bersani
2021
Abstract
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.File | Dimensione | Formato | |
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