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Comparison of two approaches for differentiating full-field data in solid mechanics

Comparison of two approaches for differentiating full-field data in solid mechanics
Comparison of two approaches for differentiating full-field data in solid mechanics
In this study, the issue of reconstructing the gradients of noisy full-field data is addressed within the framework of solid mechanics. Two approaches are considered, a global one based on finite element approximation (FEA) and a local one based on diffuse approximation (DA). For both approaches, it is proposed to monitor locally the filtering effect in order to adapt the uncertainty to the local signal to noise ratio. Both approaches are applied to a case study which is commonly considered as difficult in solid mechanics (open-hole tensile test on a composite laminate). Both DA and FEA are successful for detecting local subsurface damage from the measured noisy displacement fields. Indications are also provided about the compared performances of DA and FEA. It is shown that DA is more robust, but the downside is that it is also more CPU time consuming.


full-field measurements, numerical differentiation, measurement uncertainty
1361-6501
11pp
Avril, Stéphane
e7143b4a-693f-4c40-9aab-230102aa0017
Feissel, Pierre
34278dba-3712-4c65-8798-97d43ec6f4e8
Pierron, Fabrice
a1fb4a70-6f34-4625-bc23-fcb6996b79b4
Villon, Pierre
e1fe5e39-2054-43f7-9125-bc25e22f5d82
Avril, Stéphane
e7143b4a-693f-4c40-9aab-230102aa0017
Feissel, Pierre
34278dba-3712-4c65-8798-97d43ec6f4e8
Pierron, Fabrice
a1fb4a70-6f34-4625-bc23-fcb6996b79b4
Villon, Pierre
e1fe5e39-2054-43f7-9125-bc25e22f5d82

Avril, Stéphane, Feissel, Pierre, Pierron, Fabrice and Villon, Pierre (2009) Comparison of two approaches for differentiating full-field data in solid mechanics. Measurement Science and Technology, 21 (1), 11pp. (doi:10.1088/0957-0233/21/1/015703).

Record type: Article

Abstract

In this study, the issue of reconstructing the gradients of noisy full-field data is addressed within the framework of solid mechanics. Two approaches are considered, a global one based on finite element approximation (FEA) and a local one based on diffuse approximation (DA). For both approaches, it is proposed to monitor locally the filtering effect in order to adapt the uncertainty to the local signal to noise ratio. Both approaches are applied to a case study which is commonly considered as difficult in solid mechanics (open-hole tensile test on a composite laminate). Both DA and FEA are successful for detecting local subsurface damage from the measured noisy displacement fields. Indications are also provided about the compared performances of DA and FEA. It is shown that DA is more robust, but the downside is that it is also more CPU time consuming.


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More information

Published date: 7 December 2009
Additional Information: 15703
Keywords: full-field measurements, numerical differentiation, measurement uncertainty
Organisations: Engineering Mats & Surface Engineerg Gp

Identifiers

Local EPrints ID: 210605
URI: https://eprints.soton.ac.uk/id/eprint/210605
ISSN: 1361-6501
PURE UUID: 2867aee3-5504-49ac-9744-aa2ba0424801
ORCID for Fabrice Pierron: ORCID iD orcid.org/0000-0003-2813-4994

Catalogue record

Date deposited: 13 Feb 2012 13:57
Last modified: 06 Jun 2018 12:34

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