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Inverse analysis of metamaterials and parameter determination by means of an automatized optimization problem
Author(s) -
Shekarchizadeh Navid,
Abali Bilen Emek,
Barchiesi Emilio,
Bersani Alberto Maria
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000277
Subject(s) - metamaterial , inverse problem , inverse , mathematics , computer science , elasticity (physics) , statistical physics , algorithm , mathematical optimization , mathematical analysis , physics , optics , geometry , thermodynamics
Abstract In this paper, a novel parameter determination technique is developed for material 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 automatized optimization process specifically for obtaining metamaterials parameters. The process aims at minimizing a mechanically meaningful error function measuring the deviation of the continuum from a detailed description by using the Trust Region Reflective optimization method. The parameter identification procedure is tested for an exemplary extension experiment of a metamaterial, proving to be robust and reliable.