A dual domain decomposition method for finite element digital image correlation

Passieux, Jean‐Charles; Périé, Jean‐Noël; Salaün, Michel

doi:10.1002/nme.4868

Cited by 18 publications

(24 citation statements)

References 41 publications

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“…In that case, the kinematic degrees of freedom are spatially coupled, and hence there is no way to compute parts of the problem independently except if parallel algorithms based on domain decomposition methods are implemented [176]. The latter ones have yet to be extended to global DVC.…”

Section: Global Dvcmentioning

confidence: 99%

“…Another route may be provided by domain decomposition methods applied to DVC. It has been followed in DIC analyses [176], but was not yet applied to DVC. However, because most of the computation cost is related to the correction by the measured displacement field of the deformed volume the CPU time gain is not spectacular, up to now, in comparison with standard implementations.…”

Section: Dvc Algorithmsmentioning

confidence: 99%

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Digital Volume Correlation: Review of Progress and Challenges

et al. 2018

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3D imaging has become popular for analyzing material microstructures. When time lapse series of 3D pictures are acquired during a single experiment, it is possible to measure displacement fields via digital volume correlation (DVC), thereby leading to 4D results. Such ForewordThe present paper aims at reviewing the major developments in Digital Volume Correlation (DVC) over the past ten years. It follows the first review on DVC that was published in 2008 by its pioneer [11]. In the latter, the interested reader will find all the general principles associated with what is now called local DVC. They will not be recalled hereafter. In such approaches the region of interest is subdivided into small subvolumes that are independently registered. In addition to its wider use with local approaches, DVC has been extended to global approaches in which the displacement field is defined in a dense way over the region of interest. Kinematic bases using finite element discretizations have been selected. To further add mechanical content, elastic regularization has been introduced. Last, integrated approaches use kinematic fields that are constructed from finite element simulations with chosen constitutive equations. The material parameters (and/or boundary conditions) then become the quantities of interest.These various implementations assume different degrees of integration of mechanical knowledge about the analyzed experiment. First and foremost, DVC can be considered as a stand-alone technique, which has seen its field of applications grow over the last ten years. In this case the measured displacement fields and post-processed strain fields are reported. With the introduction of finite element based DVC, the measured displacement field is continuous. It is also a standalone technique. However, given the fact that it shares common kinematic bases with numerical simulations, it can be easily combined with the latter. One route is to require local satisfaction of equilibrium via mechanical regularization. Another route is to fully merge DVC analyses and numerical simulations via integrated approaches. Different examples will illustrate how these various integration steps can be tailored and what are the current challenges associated with various approaches.

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Section: Global Dvcmentioning

confidence: 99%

Section: Dvc Algorithmsmentioning

confidence: 99%

Digital Volume Correlation: Review of Progress and Challenges

et al. 2018

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“…After introducing the coupling problem to be solved, the proposed coupling formulation is constructed. It constitutes an extension of the coupling method of previous work [23] to be able to take into account an elastic regularization of the optical flow.…”

Section: The Proposed Coupling Methodsmentioning

confidence: 99%

“…In opposition more classical subset based methods result in a large set a small problems which is by nature directly parallelisable. Recently, a parallel FE-DIC solver was proposed in [23] which is based on a so-called domain decomposition solver that were initially developed for computational mechanics. The method considers a non-overlapping partition of the mesh into a set of subdomains, along with an overlapping partition of the images into a set of subset images (which is classical to subset based methods).…”

Section: Introductionmentioning

confidence: 99%

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

Bouclier

Passieux

2016

Numerical Meth Engineering

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To cite this version: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, Wiley, 2017, 111 (2) SUMMARYA 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. DraftReceived . . .

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“…This implies that this problem can be parallelized like what is done in domain decomposition method in 2D-DIC [15].…”

Section: D Displacement Measurementmentioning

confidence: 99%

Finite Element Stereo Digital Image Correlation: Framework and Mechanical Regularization

2016

Self Cite

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The use of Finite Element meshes in Digital Image Correlation (FE-DIC) is now widespread in experimental mechanics. Up to now FE have been much less used in Stereo-DIC. The first goal of this paper is to explain in details how to use FE in Stereo-DIC using a formulation in the physical coordinate system. More precisely, it is shown how to perform the calibration of possibly nonlinear models, shape and displacement measurement based on a FE mesh. In addition it is shown that with such a framework it is possible to regularise the measurement with a FE model based on the same mesh. For instance, using this technique, it is shown that it is possible to measure the rotation field of a bending plate in addition to its displacement.

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A dual domain decomposition method for finite element digital image correlation

Cited by 18 publications

References 41 publications

Digital Volume Correlation: Review of Progress and Challenges

Digital Volume Correlation: Review of Progress and Challenges

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

Finite Element Stereo Digital Image Correlation: Framework and Mechanical Regularization

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