A domain coupling method for finite element digital image correlation with mechanical regularization: Application to multiscale measurements and parallel computing

Robin Bouclier (1) , Jean-Charles Passieux (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 ICA - Institut Clément Ader

A general method is proposed to couple two sub-regions analysed with finite element digital image correlation (FE-DIC) even when using a mechanical regularization (R-DIC). 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 R-DIC. The problem is formulated at the interface and solved with GMRes. A dedicated preconditioner is proposed to significantly accelerate convergence. The resulting method is a good candidate for the analysis of large data-sets. Copyright

Mots clés: mechanical regularization; finite elements; digital image correlation; high-performance computing; domain decomposition; multiscale

Domaines: Mécanique des structures [physics.class-ph]

Robin Bouclier, Jean-Charles Passieux. A domain coupling method for finite element digital image correlation with mechanical regularization: Application to multiscale measurements and parallel computing. International Journal for Numerical Methods in Engineering, 2017, 111 (2), pp.123 - 143. ⟨10.1002/nme.5456⟩. ⟨hal-01577929⟩