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

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).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1088/0957-0233/21/1/015703
Additional Information: 015703
ISSNs: 0957-0233 (print)
1361-6501 (electronic)
Keywords: full-field measurements, numerical differentiation, measurement uncertainty
Subjects: T Technology > TJ Mechanical engineering and machinery
Divisions : Faculty of Engineering and the Environment > Engineering Sciences > Engineering Materials Surface Engineering
ePrint ID: 210605
Accepted Date and Publication Date:
7 December 2009Published
Date Deposited: 13 Feb 2012 13:57
Last Modified: 31 Mar 2016 13:49

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