Inverse problems with the digital image correlation: approach and applications

A viable approach to solve inverse problems in elasticity is proposed. It is based on regression algorithms to estimate materials and/or loading parameters by fitting the experimentally-evaluated displacement field to representative analytical solutions. Displacements are measured by the digital...

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Autores principales: Emanuele Sgambitterra, Fabrizio Niccoli
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Lenguaje:EN
Publicado: Gruppo Italiano Frattura 2021
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spelling oai:doaj.org-article:4f029ece237340738073bcad73db14472021-11-26T10:55:44ZInverse problems with the digital image correlation: approach and applications1971-8993https://doaj.org/article/4f029ece237340738073bcad73db14472021-06-01T00:00:00Zhttps://www.fracturae.com/index.php/fis/article/view/3129https://doaj.org/toc/1971-8993 A viable approach to solve inverse problems in elasticity is proposed. It is based on regression algorithms to estimate materials and/or loading parameters by fitting the experimentally-evaluated displacement field to representative analytical solutions. Displacements are measured by the digital image correlation (DIC) technique and they are used as input for numerical procedures able to minimize the estimation errors of the unknowns and to quantify the unavoidable rigid body motions of the samples/components. In addition, thanks to ad-hoc developed iterative algorithms, non-linear phenomena related to high and localized stress/strain states, can be captured successfully. This latter represents a relevant novelty of the methodology as it allows to investigate plasticity-induced mechanisms in solid mechanics which are impossible to analyze with more traditional DIC-based approaches. Three different case studies are considered: 1) estimation of the stress intensity factor in fracture mechanics problems, 2) estimation of the elastic properties of a material by the Brazilian tests, 3) estimation of the contact pressure generated by thermally activated shape memory alloy (SMA) rings used for pipe coupling. The reliability and the accuracy of the method is demonstrated through systematic comparisons of the results with conventional techniques in experimental mechanics. Emanuele SgambitterraFabrizio NiccoliGruppo Italiano FratturaarticleDigital image correlationOver-deterministic methodFracture MechanicsBrazilian diskPipe couplingMechanical engineering and machineryTJ1-1570Structural engineering (General)TA630-695ENFrattura ed Integrità Strutturale, Vol 15, Iss 57 (2021)
institution DOAJ
collection DOAJ
language EN
topic Digital image correlation
Over-deterministic method
Fracture Mechanics
Brazilian disk
Pipe coupling
Mechanical engineering and machinery
TJ1-1570
Structural engineering (General)
TA630-695
spellingShingle Digital image correlation
Over-deterministic method
Fracture Mechanics
Brazilian disk
Pipe coupling
Mechanical engineering and machinery
TJ1-1570
Structural engineering (General)
TA630-695
Emanuele Sgambitterra
Fabrizio Niccoli
Inverse problems with the digital image correlation: approach and applications
description A viable approach to solve inverse problems in elasticity is proposed. It is based on regression algorithms to estimate materials and/or loading parameters by fitting the experimentally-evaluated displacement field to representative analytical solutions. Displacements are measured by the digital image correlation (DIC) technique and they are used as input for numerical procedures able to minimize the estimation errors of the unknowns and to quantify the unavoidable rigid body motions of the samples/components. In addition, thanks to ad-hoc developed iterative algorithms, non-linear phenomena related to high and localized stress/strain states, can be captured successfully. This latter represents a relevant novelty of the methodology as it allows to investigate plasticity-induced mechanisms in solid mechanics which are impossible to analyze with more traditional DIC-based approaches. Three different case studies are considered: 1) estimation of the stress intensity factor in fracture mechanics problems, 2) estimation of the elastic properties of a material by the Brazilian tests, 3) estimation of the contact pressure generated by thermally activated shape memory alloy (SMA) rings used for pipe coupling. The reliability and the accuracy of the method is demonstrated through systematic comparisons of the results with conventional techniques in experimental mechanics.
format article
author Emanuele Sgambitterra
Fabrizio Niccoli
author_facet Emanuele Sgambitterra
Fabrizio Niccoli
author_sort Emanuele Sgambitterra
title Inverse problems with the digital image correlation: approach and applications
title_short Inverse problems with the digital image correlation: approach and applications
title_full Inverse problems with the digital image correlation: approach and applications
title_fullStr Inverse problems with the digital image correlation: approach and applications
title_full_unstemmed Inverse problems with the digital image correlation: approach and applications
title_sort inverse problems with the digital image correlation: approach and applications
publisher Gruppo Italiano Frattura
publishDate 2021
url https://doaj.org/article/4f029ece237340738073bcad73db1447
work_keys_str_mv AT emanuelesgambitterra inverseproblemswiththedigitalimagecorrelationapproachandapplications
AT fabrizioniccoli inverseproblemswiththedigitalimagecorrelationapproachandapplications
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