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

Bouclier, Robin; Passieux, Jean‐Charles

doi:10.1002/nme.5456

Cited by 16 publications

(20 citation statements)

References 46 publications

(126 reference statements)

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“…It can be observed that, when the beam moves on the left, the displacement is noisy (displacement is amplified by a factor 30) for 2 of the 9 images. Note that this issue could have been avoided by using larger elements or any other regularization technique [30,27,31,11] but it was allowed to persist as it enabled the effect of noise on mode measurement, to be visualized. The 7 other displacements were far less noisy.…”

Section: Incremental Dic Analysismentioning

confidence: 99%

“…In this paper we propose to prescribe time-smoothness as a physical regularization technique in the space domain. This technique should not be opposed to existing space regularization methods [20,30,31,28,11,33], but should be rather seen as an additional tool, which can positively complement more conventional remedies. More precisely, the method starts from a space-time formulation of DIC [6,8].…”

Section: Introductionmentioning

confidence: 99%

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A Space-Time PGD-DIC Algorithm:

2018

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The aim of this study is to develop a new regularized Digital Image Correlation (DIC) method for time dependent measurements. The correlation problem is written as a minimization problem over the space-time domain in a general formulation including 2D-DIC and Stereo DIC (SDIC). The unknown time-resolved displacement field is found as a sum of products of space and time functions, similarly to the Proper Generalized Decomposition in computational mechanics. It is shown that the space fields are less sensitive to noise as time regularity acts as a physical regularization of the space fields. The proposed method is illustrated by vibration measurement under harmonic excitation in 2D-DIC and SDIC.

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Section: Incremental Dic Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Space-Time PGD-DIC Algorithm:

2018

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“…The proposed new algorithms for global (or FE) DIC may prove useful particularly (i) for evolution problems, where one operator is assembled and factorized once for all Gauss‐Newton iterations and for each time step, and (ii) for stereo DIC, where projector gradients may evolve during iterations. To go even further in algorithmic efficiency, these solvers could be coupled with high‐performance computing tools …”

Section: Resultsmentioning

confidence: 99%

“…To go even further in algorithmic efficiency, these solvers could be coupled with high-performance computing tools. 35,[44][45][46][47] ORCID Jean-Charles Passieux https://orcid.org/0000-0001-8387-4122 Robin Bouclier https://orcid.org/0000-0002-6265-4726…”

Section: Resultsmentioning

confidence: 99%

Classic and inverse compositional Gauss‐Newton in global DIC

Passieux

Bouclier

2019

Numerical Meth Engineering

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Summary Today, effective implementations of digital image correlation (DIC) are based on iterative algorithms with constant linear operators. A relevant idea of the classic finite element (or, more generally, global) DIC solver consists in replacing the gradient of the deformed state image with that of the reference image, so as to obtain a constant operator. Different arguments (small strains, small deformations, equality of the two gradients close to the solution, etc) have been given in the literature to justify this approximation, but none of them are fully accurate. Indeed, the convergence of the optimization algorithm has to be investigated from its ability to produce descent directions. Through such a study, this paper attempts to explain why this approximation works and what is its domain of validity. Then, an inverse compositional Gauss‐Newton implementation of finite element DIC is proposed as a cost‐effective and mathematically sound alternative to this approximation.

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“…The expanding use of finite elements (FE) meshes in digital image correlation (DIC) algorithms is explained by their ability to be coupled with numerical models. The interaction of measurement and simulation becomes fast and friendly, as both kinematic fields are defined at the nodes of the same mesh.…”

Section: Introductionmentioning

confidence: 98%

Noninvasive multilevel geometric regularization of mesh‐based three‐dimensional shape measurement

Colantonio

Chapelier

Bouclier

et al. 2020

Numerical Meth Engineering

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Summary Finite element stereo digital image correlation (FE‐SDIC) requires a crucial calibration phase in which the initial CAD needs to be updated to fit the actual shape of the specimen. On the one hand, the use of a FE mesh facilitates the coupling of measurements with simulation tools, while on the other hand, it provides a unique, fine description of both the geometry and the displacement, which often makes the shape measurement problem highly ill‐posed. As a remedy, we propose a hybrid isogeometric‐FE strategy that can measure a shape in terms of spline functions while considering as an input and output the analysis‐suitable FE mesh. Making use of the appealing spline refinement procedures and of Bézier‐based operators, multilevel smooth spline discretizations are built concurrently with the initial FE subspace and related to the multiscale images used for the initialization of the shape measurement. It results in a geometrically sound regularization which provides a spline parametrization of the optimal shape along with its FE twin. A noninvasive implementation from an existing FE‐SDIC code is also detailed. The performance of the proposed method is assessed on real images and comparisons are made with other published techniques to prove its efficiency.

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

Cited by 16 publications

References 46 publications

A Space-Time PGD-DIC Algorithm:

A Space-Time PGD-DIC Algorithm:

Classic and inverse compositional Gauss‐Newton in global DIC

Noninvasive multilevel geometric regularization of mesh‐based three‐dimensional shape measurement

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