A domain coupling method for finite element digital image correlation with mechanical regularization: Application to multiscale measurements and parallel computing. (17th November 2016)

• Record Type: Journal Article
• Authors: Bouclier, Robin; Passieux, Jean‐Charles
• Is Part Of: International journal for numerical methods in engineering. Volume 111:Number 2(2017)
• Page Start: 123
• Page End: 143
• Publication Date: 2016-11-17
• Subjects: digital image correlation -- finite elements -- mechanical regularization -- domain decomposition -- multiscale -- high‐performance computing; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.5456
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: A general method is proposed to couple two subregions analyzed with finite element digital image correlation even when using a mechanical regularization (regularized digital image correlation). A Lagrange multiplier is introduced to stitch both displacements fields in order to recover continuity over the full region of interest. Another interface unknown is introduced to ensure, additionally, the equilibrium of the mechanical models used for regularization. As a first application, the method is used to perform a single measurement from images at two different resolutions. Secondly, the method is also extended to parallel computing in regularized digital image correlation. The problem is formulated at the interface and solved with a Krylov‐type algorithm. A dedicated preconditioner is proposed to significantly accelerate convergence. The resulting method is a good candidate for the analysis of large data sets. Copyright © 2016 John Wiley & Sons, Ltd.