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Experimental Mechanics
Erschienen in: Experimental Mechanics 4/2021

17.05.2021 | Research paper

Fast Adaptive Mesh Augmented Lagrangian Digital Image Correlation

verfasst von: J. Yang, K. Bhattacharya

Erschienen in: Experimental Mechanics | Ausgabe 4/2021

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Abstract

Background Digital image correlation (DIC) is a widely used experimental method to measure full-field displacements and strains. This technique compares images of speckle patterns before and after deformation to computationally infer the displacement and strain fields. Of particular interest are complex mechanical phenomena where strains are far from uniform.
Objective In such situations, it would be desirable to use an adaptive technique with higher resolution in the regions of rapidly changing strain and lower resolution elsewhere.
Methods This paper builds on the recently proposed augmented Lagrangian digital image correlation (ALDIC) method to incorporate mesh adaptivity. We call the resulting approach adapt-ALDIC.
Results We show that the structure of ALDIC makes it easy to incorporate adaptive resolution. We demonstrate through both synthetic and experimental examples that adapt-ALDIC is robust and saves significant computational time with almost no loss in accuracy. Among two types of adaptive mesh strategies, we find that adaptive quadtree mesh outperforms Kuhn triangulation mesh both in accuracy and computational cost. Indeed, we demonstrate that quadtree adapt-ALDIC provides compatible deformation and noise insensitivity typical of global DIC at the cost of local DIC.
Conclusions Adapt-ALDIC with adaptive quadtree mesh can analyze heterogeneous deformations accurately and efficiently. An open-source Matlab code is freely available through GitHub and Caltech DATA.
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Fußnoten
1
We only consider FE-based global DIC in this work. It is also possible to have other basis sets for global DIC, and other approaches like dense global DIC. We do not consider them here.
 
2
The introduction of the regularizer requires a boundary condition, and one can proceed analogously with displacement boundary conditions if the boundary displacements are known.
 
3
In our previous work on ALDIC [25], we used finite difference discretization where the gradients are defined on the nodes.
 
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Metadaten
Titel
Fast Adaptive Mesh Augmented Lagrangian Digital Image Correlation
verfasst von
J. Yang
K. Bhattacharya
Publikationsdatum
17.05.2021
Verlag
Springer US
Erschienen in
Experimental Mechanics / Ausgabe 4/2021
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-021-00695-9

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