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Title: A Novel Class of Strain Measures for Digital Image Correlation

Abstract

Abstract We propose a novel class strain measures for use with digital image correlation (DIC). Whereas the traditional notion of compatibility (strain as the derivative of the displacement field) is problematic when the displacement field varies substantially because of either measurement noise or material irregularity, the proposed measure remains robust, well defined and invariant under rigid body motion. Moreover, when the displacement field is smooth, the classical and proposed strain measures are approximations of each other. We demonstrate, via several numerical examples, the potential of this new strain measure for problems with steep gradients. We also show how the non‐local strain provides an intrinsic mechanism for filtering high‐frequency content from the strain profile and so has a high signal to noise ratio. This is a convenient feature considering image noise and its impact on strain calculations.

Authors:
 [1];  [2];  [3]
  1. Computational Mathematics Sandia National Laboratories Albuquerque NM USA
  2. Sandia National Lab 01535, PO Box 5800, MS‐1139 Albuquerque NM 87185 USA
  3. Multiscale Science Sandia National Laboratories PO Box 5800, Albuquerque NM 87185 USA, Civil Engineering Stellenbosch University Private Bag X1, Stellenbosch Western Cape 7602 South Africa
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1401391
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Strain
Additional Journal Information:
Journal Name: Strain Journal Volume: 51 Journal Issue: 4; Journal ID: ISSN 0039-2103
Publisher:
Wiley-Blackwell
Country of Publication:
United Kingdom
Language:
English

Citation Formats

Lehoucq, R. B., Reu, P. L., and Turner, D. Z. A Novel Class of Strain Measures for Digital Image Correlation. United Kingdom: N. p., 2015. Web. doi:10.1111/str.12138.
Lehoucq, R. B., Reu, P. L., & Turner, D. Z. A Novel Class of Strain Measures for Digital Image Correlation. United Kingdom. https://doi.org/10.1111/str.12138
Lehoucq, R. B., Reu, P. L., and Turner, D. Z. 2015. "A Novel Class of Strain Measures for Digital Image Correlation". United Kingdom. https://doi.org/10.1111/str.12138.
@article{osti_1401391,
title = {A Novel Class of Strain Measures for Digital Image Correlation},
author = {Lehoucq, R. B. and Reu, P. L. and Turner, D. Z.},
abstractNote = {Abstract We propose a novel class strain measures for use with digital image correlation (DIC). Whereas the traditional notion of compatibility (strain as the derivative of the displacement field) is problematic when the displacement field varies substantially because of either measurement noise or material irregularity, the proposed measure remains robust, well defined and invariant under rigid body motion. Moreover, when the displacement field is smooth, the classical and proposed strain measures are approximations of each other. We demonstrate, via several numerical examples, the potential of this new strain measure for problems with steep gradients. We also show how the non‐local strain provides an intrinsic mechanism for filtering high‐frequency content from the strain profile and so has a high signal to noise ratio. This is a convenient feature considering image noise and its impact on strain calculations.},
doi = {10.1111/str.12138},
url = {https://www.osti.gov/biblio/1401391}, journal = {Strain},
issn = {0039-2103},
number = 4,
volume = 51,
place = {United Kingdom},
year = {Tue May 05 00:00:00 EDT 2015},
month = {Tue May 05 00:00:00 EDT 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at https://doi.org/10.1111/str.12138

Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

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Works referenced in this record:

Error Assessment in Stereo-based Deformation Measurements: Part II: Experimental Validation of Uncertainty and Bias Estimates
journal, February 2011


Analysis of the Volume-Constrained Peridynamic Navier Equation of Linear Elasticity
journal, November 2012


Image Denoising Methods. A New Nonlocal Principle
journal, January 2010


Ncorr: Open-Source 2D Digital Image Correlation Matlab Software
journal, March 2015


A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
journal, January 2010


A Nonlocal Vector Calculus, Nonlocal Volume-Constrained Problems, and Nonlocal Balance laws
journal, January 2013


Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral
journal, March 2005


Nonlocal Operators with Applications to Image Processing
journal, January 2009


Image Recovery via Nonlocal Operators
journal, August 2009


Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review
journal, April 2009


Computation of Full-field Strains Using Principal Component Analysis
journal, March 2014


Peridynamic States and Constitutive Modeling
journal, July 2007


Stereo-Rig Design: Creating the Stereo-Rig Layout - Part 1
journal, September 2012


From pictures to extended finite elements: extended digital image correlation (X-DIC)
journal, March 2007


Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
journal, January 2012


A Review of Image Denoising Algorithms, with a New One
journal, January 2005


Applications of digital-image-correlation techniques to experimental mechanics
journal, September 1985


Digital image correlation and fracture: an advanced technique for estimating stress intensity factors of 2D and 3D cracks
journal, October 2009


Neighborhood filters and PDE’s
journal, September 2006