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.
finite element method; FEM; inverse analysis; metamaterials; optimization
01 Pubblicazione su rivista::01a Articolo in rivista
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]
File allegati a questo prodotto
File Dimensione Formato  
Shekarchizadeh_inverse_2021.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 2.09 MB
Formato Adobe PDF
2.09 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1473340
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 15
social impact