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A dual domain decomposition method for finite element digital image correlation

Passieux, Jean-Charles and Périé, Jean-Noel and Salaün, Michel A dual domain decomposition method for finite element digital image correlation. (2015) International Journal for Numerical Methods in Engineering, vol.102 (n°10). pp.1670-1682. ISSN 0029-5981

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Official URL: http://dx.doi.org/10.1002/nme.4868

Abstract

The computational burden associated to finite element based digital image correlation methods is mostly due to the inversion of finite element systems and to image interpolations. A non-overlapping dual domain decomposition method is here proposed to rationalise the computational cost of high resolution finite element digital image correlation measurements when dealing with large images. It consists in splitting the global mesh into submeshes and the reference and deformed states images into subset images. Classic finite element digital image correlation formulations are first written in each subdomain independently. The displacement continuity at the interfaces is enforced by introducing a set of Lagrange multipliers. The problem is then condensed on the interface and solved by a conjugate gradient algorithm. Three different preconditioners are proposed to accelerate its convergence. The proposed domain decomposition method is here exemplified with real high resolution images. It is shown to combine the metrological performances of finite element based digital image correlation and the parallelisation ability of subset based methods.

Item Type:Article
Additional Information:Thanks to John Wiley & Sons editor. The definitive version is available at http://onlinelibrary.wiley.com/ The original PDF of the article can be found at International Journal for Numerical Methods in Engineering website : http://onlinelibrary.wiley.com/doi/10.1002/nme.4868/abstract
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Michel Salaun
Deposited On:11 Jan 2016 09:04

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