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Fast Adaptive Mesh Augmented Lagrangian Digital Image Correlation

Yang, J. and Bhattacharya, K. (2021) Fast Adaptive Mesh Augmented Lagrangian Digital Image Correlation. Experimental Mechanics, 61 (4). pp. 719-735. ISSN 0014-4851. doi:10.1007/s11340-021-00695-9.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription ReadCube access ItemCode
Yang, J.0000-0002-5967-980X
Bhattacharya, K.0000-0003-2908-5469
Additional Information:© Society for Experimental Mechanics 2021. Received 17 January 2020; Accepted 20 January 2021; Published 17 May 2021. We are grateful to Prof. Jacob Notbohm and Aashrith Saraswathibhatla who shared their experimental data with us. We gratefully acknowledge the support of the US Air Force Office of Scientific Research through the MURI grant ‘Managing the Mosaic of Microstructure’ (FA9550-12-1-0458). The authors declare that they have no conflict of interest.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0458
Subject Keywords:Digital Image Correlation (DIC); Adaptive mesh; Quadtree; Kuhn triangulation; Alternating Direction Method of Multipliers (ADMM)
Issue or Number:4
Record Number:CaltechAUTHORS:20210518-120552786
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Official Citation:Yang, J., Bhattacharya, K. Fast Adaptive Mesh Augmented Lagrangian Digital Image Correlation. Exp Mech 61, 719–735 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109177
Deposited By: Tony Diaz
Deposited On:19 May 2021 18:24
Last Modified:27 May 2021 22:01

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