Investigation of the Uncertainty of DIC Under Heterogeneous Strain States with Numerical Tests

In this research, numerical 2D digital image correlation (DIC) tests are carried out to assess the uncertainty of DIC under heterogeneous strain states. DIC is implemented to measure the deformation of the numerically deformed images with respect to the undeformed counterparts, which are taken from the real tensile specimens. The tensile specimens are made of three materials, i.e. steel DC06, steel DX54D+Z, and aluminium alloy Al6016, and cut into three different geometries, namely one standard design and two complex designs. The specimens are all painted manually with random speckle patterns. The original images are deformed by imposed displacement fields, which are obtained by simulating uni-axial tensile tests of the specimens with finite element analysis (FEA). In this way, the errors sourcing from the hardware of the image system are excluded. According to the geometries of the specimens, homogeneous and heterogeneous strain states are achieved by FEA. The optimum mesh sizes of the models are identified in order to minimize theirs influence on the imposed fields. The impacts of sub set sizes, step sizes and strain window sizes are studied for an optimum correlation. Finally, the influence of the strain state is in vestigated. It is found that the DIC accuracy and precision decrease under highly heterogeneous strain states.

[1]  H. Lu,et al.  Deformation measurements by digital image correlation: Implementation of a second-order displacement gradient , 2000 .

[2]  M. Sutton,et al.  Full-field speckle pattern image correlation with B-Spline deformation function , 2002 .

[3]  Phillip L. Reu,et al.  Experimental and Numerical Methods for Exact Subpixel Shifting , 2011 .

[4]  H. Haddadi,et al.  Use of rigid-body motion for the investigation and estimation of the measurement errors related to digital image correlation technique , 2008 .

[5]  Dimitri Debruyne,et al.  Assessment of measuring errors in DIC using deformation fields generated by plastic FEA , 2009 .

[6]  Dimitri Debruyne,et al.  Study of systematic errors in strain fields obtained via DIC using heterogeneous deformation generated by plastic FEA , 2010 .

[7]  Olivier Dalverny,et al.  Study of image characteristics on digital image correlation error assessment , 2010 .

[8]  Michael A. Sutton,et al.  Identification of elasto-visco-plastic parameters and characterization of Lüders behavior using digital image correlation and the virtual fields method , 2008 .

[9]  Michael A. Sutton,et al.  Digital Image Correlation for Shape and Deformation Measurements , 2008 .

[10]  Tony F. Chan,et al.  Image processing and analysis , 2005 .

[11]  Y. Wang,et al.  Error estimation in measuring strain fields with DIC on planar sheet metal specimens with a non-perpendicular camera alignment , 2011 .

[12]  Wim Van Paepegem,et al.  Strain distribution in cruciform specimens subjected to biaxial loading conditions. Part 1: Two-dimensional versus three-dimensional finite element model , 2010 .

[13]  Michael A. Sutton,et al.  The effect of out-of-plane motion on 2D and 3D digital image correlation measurements , 2008 .

[14]  Hugh Alan Bruck,et al.  Quantitative Error Assessment in Pattern Matching: Effects of Intensity Pattern Noise, Interpolation, Strain and Image Contrast on Motion Measurements , 2009 .

[15]  G. Vendroux,et al.  Submicron deformation field measurements: Part 2. Improved digital image correlation , 1998 .

[16]  M. Sutton,et al.  Systematic errors in digital image correlation due to undermatched subset shape functions , 2002 .

[17]  M. Grédiac,et al.  Assessment of Digital Image Correlation Measurement Errors: Methodology and Results , 2009 .

[18]  Hubert W. Schreier,et al.  Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts,Theory and Applications , 2009 .

[19]  Luc Schueremans,et al.  Measuring the thermal expansion coefficient of tubular steel specimens with digital image correlation techniques , 2010 .

[20]  P. van Houtte,et al.  Identification of Post-Necking Hardening Behaviour of Sheet Metal: a Practical Application to Clinch Forming , 2011 .

[21]  Sun Yaofeng,et al.  Study of optimal subset size in digital image correlation of speckle pattern images , 2007 .