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2008 | OriginalPaper | Buchkapitel

20. Digital Image Correlation for Shape and Deformation Measurements

verfasst von : Michael A. Sutton, Prof.

Erschienen in: Springer Handbook of Experimental Solid Mechanics

Verlag: Springer US

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Abstract

The essential concepts underlying the use of two-dimensional (2-D) digital image correlation for deformation measurements and three-dimensional (3-D) digital image correlation for shape and deformation measurements on curved or planar specimens are presented. Two-dimensional digital image correlation measures full-field surface displacements with accuracy on the order of ±0.01 pixels on nominally planar specimens undergoing arbitrary in-plane rotations and/or deformations. Three-dimensional digital image correlation measures the complete 3-D surface displacement field on curved or planar specimens, with accuracy on the order of ±0.01 pixels for the in-plane components and Z/50000 in the out-of-plane component, where Z is the distance from the object to the camera, for typical stereo-camera arrangements. Accurate surface strains can be extracted from the measured displacement data for specimens ranging in size from many meters to microns and under a wide range of mechanical loading and environmental conditions, using a wide range of imaging systems including optical, scanning electron microscopy, and atomic force microscopy.
In Sect. 20.2, the essential concepts underlying both 2-D DIC and 3-D DIC are presented. Section 20.3 introduces the pinhole imaging model and calibration procedures. Sections 20.4 and 20.5 describe the image digitization and image reconstruction procedures, respectively, for accurate, subpixel displacement measurement. Section 20.6 presents the basics for subset-based, image pattern matching. Section 20.7 provides a range of methods for applying random texture to a surface. Sections 20.8 and 20.9 provide the basics for calibration and deformation measurements in 2-D DIC and 3-D DIC applications, respectively. Section 20.10 presents an example using 2-D image correlation to extract the local stress–strain response in a heterogeneous weld zone. Sections 20.11 and 20.12 present applications using 3-D image correlation to quantify material response during quasistatic and dynamic tension–torsion loading, respectively, of an edge-cracked specimen. Section 20.13 presents closing remarks regarding the developments.

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20.1.
Zurück zum Zitat W.H. Peters, W.F. Ranson: Digital imaging techniques in experimental stress analysis, Opt. Eng. 21(3), 427–432 (1981) W.H. Peters, W.F. Ranson: Digital imaging techniques in experimental stress analysis, Opt. Eng. 21(3), 427–432 (1981)
20.2.
Zurück zum Zitat M.A. Sutton, W.J. Wolters, W.H. Peters, W.F. Ranson, S.R. McNeill: Determination of displacements using an improved digital correlation method, Image Vis. Comput. 1(3), 133–139 (1983)CrossRef M.A. Sutton, W.J. Wolters, W.H. Peters, W.F. Ranson, S.R. McNeill: Determination of displacements using an improved digital correlation method, Image Vis. Comput. 1(3), 133–139 (1983)CrossRef
20.3.
Zurück zum Zitat W.H. Peters, He Zheng-Hui, M.A. Sutton, W.F. Ranson: Two-dimensional fluid velocity measurements by use of digital speckle correlation techniques, Exp. Mech. 24(2), 117–121 (1984)CrossRef W.H. Peters, He Zheng-Hui, M.A. Sutton, W.F. Ranson: Two-dimensional fluid velocity measurements by use of digital speckle correlation techniques, Exp. Mech. 24(2), 117–121 (1984)CrossRef
20.4.
Zurück zum Zitat J. Anderson, W.H. Peters, M.A. Sutton, W.F. Ranson, T.C. Chu: Application of digital correlation methods to rigid body mechanics, Opt. Eng. 22(6), 738–742 (1984) J. Anderson, W.H. Peters, M.A. Sutton, W.F. Ranson, T.C. Chu: Application of digital correlation methods to rigid body mechanics, Opt. Eng. 22(6), 738–742 (1984)
20.5.
Zurück zum Zitat T.C. Chu, W.F. Ranson, M.A. Sutton, W.H. Peters: Applications of digital image correlation techniques to experimental mechanics, Exp. Mech. 25(3), 232–245 (1985)CrossRef T.C. Chu, W.F. Ranson, M.A. Sutton, W.H. Peters: Applications of digital image correlation techniques to experimental mechanics, Exp. Mech. 25(3), 232–245 (1985)CrossRef
20.6.
Zurück zum Zitat M.A. Sutton, S.R. McNeill, J. Jang, M. Babai: The effects of subpixel image restoration on digital correlation error estimates, Opt. Eng. 10, 870–877 (1988) M.A. Sutton, S.R. McNeill, J. Jang, M. Babai: The effects of subpixel image restoration on digital correlation error estimates, Opt. Eng. 10, 870–877 (1988)
20.7.
Zurück zum Zitat M.A. Sutton, M. Cheng, S.R. McNeill, Y.J. Chao, W.H. Peters: Application of an optimized digital correlation method to planar deformation analysis, Image Vis. Comput. 4(3), 143–150 (1988)CrossRef M.A. Sutton, M. Cheng, S.R. McNeill, Y.J. Chao, W.H. Peters: Application of an optimized digital correlation method to planar deformation analysis, Image Vis. Comput. 4(3), 143–150 (1988)CrossRef
20.8.
Zurück zum Zitat M.A. Sutton, H.A. Bruck, S.R. McNeill: Determination of deformations using digital correlation with the Newton–Raphson method for partial differential corrections, Exp. Mech. 29(3), 261–267 (1989)CrossRef M.A. Sutton, H.A. Bruck, S.R. McNeill: Determination of deformations using digital correlation with the Newton–Raphson method for partial differential corrections, Exp. Mech. 29(3), 261–267 (1989)CrossRef
20.9.
Zurück zum Zitat M.A. Sutton, H.A. Bruck, T.L. Chae, J.L. Turner: Development of a computer vision methodology for the analysis of surface deformations in magnified images. In: MICON-90: Advances in video technology for micro-structural evaluation of materials, ASTM STP-1094, ed. by G.F. Vander Voort (ASTM Int., West Conshohocken 1990) pp. 109–134 M.A. Sutton, H.A. Bruck, T.L. Chae, J.L. Turner: Development of a computer vision methodology for the analysis of surface deformations in magnified images. In: MICON-90: Advances in video technology for micro-structural evaluation of materials, ASTM STP-1094, ed. by G.F. Vander Voort (ASTM Int., West Conshohocken 1990) pp. 109–134
20.10.
Zurück zum Zitat M.A. Sutton, J.L. Turner, T.L. Chae, H.A. Bruck: Full field representation of discretely sampled surface deformation for displacement and strain analysis, Exp. Mech. 31(2), 168–177 (1991)CrossRef M.A. Sutton, J.L. Turner, T.L. Chae, H.A. Bruck: Full field representation of discretely sampled surface deformation for displacement and strain analysis, Exp. Mech. 31(2), 168–177 (1991)CrossRef
20.11.
Zurück zum Zitat S.R. McNeill, W.H. Peters, M.A. Sutton, W.F. Ranson: A Least square estimation of stress intensity factor from video-computer displacement data, Proceeding of the 12th Southeastern Conference of Theoretical and Applied Mechanics (1984) pp. 188–192 S.R. McNeill, W.H. Peters, M.A. Sutton, W.F. Ranson: A Least square estimation of stress intensity factor from video-computer displacement data, Proceeding of the 12th Southeastern Conference of Theoretical and Applied Mechanics (1984) pp. 188–192
20.12.
Zurück zum Zitat M.A. Sutton, H.A. Bruck, T.L. Chae, J.L. Turner: Experimental investigations of three-dimensional effects near a crack tip using computer vision, Int. J. Fract. 53, 201–228 (1991) M.A. Sutton, H.A. Bruck, T.L. Chae, J.L. Turner: Experimental investigations of three-dimensional effects near a crack tip using computer vision, Int. J. Fract. 53, 201–228 (1991)
20.13.
Zurück zum Zitat G. Han, M.A. Sutton, Y.J. Chao: A Study of stable crack growth in thin SEC specimens of 304 stainless steel, Eng. Fract. Mech. 52(3), 525–555 (1995)CrossRef G. Han, M.A. Sutton, Y.J. Chao: A Study of stable crack growth in thin SEC specimens of 304 stainless steel, Eng. Fract. Mech. 52(3), 525–555 (1995)CrossRef
20.14.
Zurück zum Zitat G. Han, M.A. Sutton, Y.J. Chao: A Study of stationary crack tip deformation fields in thin sheets by computer vision, Exp. Mech. 34(4), 357–369 (1994)CrossRef G. Han, M.A. Sutton, Y.J. Chao: A Study of stationary crack tip deformation fields in thin sheets by computer vision, Exp. Mech. 34(4), 357–369 (1994)CrossRef
20.15.
Zurück zum Zitat B.E. Amstutz, M.A. Sutton, D.S. Dawicke: Experimental study of mixed mode I/II stable crack growth in thin 2024-T3 aluminum, ASTM STP 1256 Fatigue Fract. 26, 256–273 (1995) B.E. Amstutz, M.A. Sutton, D.S. Dawicke: Experimental study of mixed mode I/II stable crack growth in thin 2024-T3 aluminum, ASTM STP 1256 Fatigue Fract. 26, 256–273 (1995)
20.16.
Zurück zum Zitat J. Liu, M.A. Sutton, J.S. Lyons: Experimental characterization of crack tip deformations in alloy 718 at high temperatures, ASME J. Eng. Mater. Technol. 20(1), 71–78 (1998)CrossRef J. Liu, M.A. Sutton, J.S. Lyons: Experimental characterization of crack tip deformations in alloy 718 at high temperatures, ASME J. Eng. Mater. Technol. 20(1), 71–78 (1998)CrossRef
20.17.
Zurück zum Zitat M.A. Sutton, Y.J. Chao, J.S. Lyons: Computer vision methods for surface deformation measurements in fracture mechanics, ASME-AMD Novel Exp. Method. Fract. 176, 123–133 (1993) M.A. Sutton, Y.J. Chao, J.S. Lyons: Computer vision methods for surface deformation measurements in fracture mechanics, ASME-AMD Novel Exp. Method. Fract. 176, 123–133 (1993)
20.18.
Zurück zum Zitat M.A. Sutton, Y.J. Chao: Experimental techniques in fracture. In: Computer Vision in Fracture Mechanics, ed. by J.S. Epstein (VCH, New York 1993) pp. 59–94 M.A. Sutton, Y.J. Chao: Experimental techniques in fracture. In: Computer Vision in Fracture Mechanics, ed. by J.S. Epstein (VCH, New York 1993) pp. 59–94
20.19.
Zurück zum Zitat J.S. Lyons, J. Liu, M.A. Sutton: Deformation measurements at 650 °C with computer vision, Exp. Mech. 36(1), 64–71 (1996)CrossRef J.S. Lyons, J. Liu, M.A. Sutton: Deformation measurements at 650 °C with computer vision, Exp. Mech. 36(1), 64–71 (1996)CrossRef
20.20.
Zurück zum Zitat M.A. Sutton, Y.J. Chao: Measurement of strains in a paper tensile specimen using computer vision and digital image correlation – Part 1: Data acquisition and image analysis system, Tappi J. 70(3), 153–155 (1988) M.A. Sutton, Y.J. Chao: Measurement of strains in a paper tensile specimen using computer vision and digital image correlation – Part 1: Data acquisition and image analysis system, Tappi J. 70(3), 153–155 (1988)
20.21.
Zurück zum Zitat M.A. Sutton, Y.J. Chao: Measurement of strains in a paper tensile specimen using computer vision and digital image correlation – Part 2: Tensile specimen test system, Tappi J. 71(3), 173–175 (1988) M.A. Sutton, Y.J. Chao: Measurement of strains in a paper tensile specimen using computer vision and digital image correlation – Part 2: Tensile specimen test system, Tappi J. 71(3), 173–175 (1988)
20.22.
Zurück zum Zitat M.A. Sutton, S.R. McNeill, J.D. Helm, H.W. Schreier: Computer vision applied to shape and deformation measurement,. In: Trends in Optical Non-Destructive Testing and Inspection, ed. by P.K. Rastogi, D. Inaudi (Elsevier, Oxford 2000) pp. 571–591CrossRef M.A. Sutton, S.R. McNeill, J.D. Helm, H.W. Schreier: Computer vision applied to shape and deformation measurement,. In: Trends in Optical Non-Destructive Testing and Inspection, ed. by P.K. Rastogi, D. Inaudi (Elsevier, Oxford 2000) pp. 571–591CrossRef
20.23.
Zurück zum Zitat M.A. Sutton, S.R. McNeill, J.D. Helm, Y.J. Chao: Advances in 2-D and 3-D computer vision for shape and deformation measurements. In: Photomechanics, Topics in Applied Physics, Vol. 77, ed. by P.K. Rastogi (Springer, Berlin 2000), 323–372CrossRef M.A. Sutton, S.R. McNeill, J.D. Helm, Y.J. Chao: Advances in 2-D and 3-D computer vision for shape and deformation measurements. In: Photomechanics, Topics in Applied Physics, Vol. 77, ed. by P.K. Rastogi (Springer, Berlin 2000), 323–372CrossRef
20.24.
Zurück zum Zitat M. A. Sutton, Y. J. Yan, H. W. Schreier, J. J. Orteu: The effect of out of plane motion on 2D and 3D digital image correlation measurements, Opt. Eng, (in press) M. A. Sutton, Y. J. Yan, H. W. Schreier, J. J. Orteu: The effect of out of plane motion on 2D and 3D digital image correlation measurements, Opt. Eng, (in press)
20.25.
Zurück zum Zitat P.F. Luo, Y.J. Chao, M.A. Sutton: Application of stereo vision to 3-D deformation analysis in fracture mechanics, Opt. Eng. 33(3), 981–990 (1994)CrossRef P.F. Luo, Y.J. Chao, M.A. Sutton: Application of stereo vision to 3-D deformation analysis in fracture mechanics, Opt. Eng. 33(3), 981–990 (1994)CrossRef
20.26.
Zurück zum Zitat P.F. Luo, Y.J. Chao, M.A. Sutton: Accurate measurement of three-dimensional deformations in deformable and rigid bodies using computer vision, Exp. Mech. 33(3), 123–133 (1993)CrossRef P.F. Luo, Y.J. Chao, M.A. Sutton: Accurate measurement of three-dimensional deformations in deformable and rigid bodies using computer vision, Exp. Mech. 33(3), 123–133 (1993)CrossRef
20.27.
Zurück zum Zitat P.F. Luo, Y.J. Chao, M.A. Sutton: Computer vision methods for surface deformation measurements in fracture mechanics, ASME-AMD Novel Exp. Method. Fract. 176, 123–133 (1993) P.F. Luo, Y.J. Chao, M.A. Sutton: Computer vision methods for surface deformation measurements in fracture mechanics, ASME-AMD Novel Exp. Method. Fract. 176, 123–133 (1993)
20.28.
Zurück zum Zitat J.D. Helm, S.R. McNeill, M.A. Sutton: Improved 3-D image correlation for surface displacement measurement, Opt. Eng. 35(7), 1911–1920 (1996)CrossRef J.D. Helm, S.R. McNeill, M.A. Sutton: Improved 3-D image correlation for surface displacement measurement, Opt. Eng. 35(7), 1911–1920 (1996)CrossRef
20.29.
Zurück zum Zitat J.D. Helm, M.A. Sutton, D.S. Dawicke, G. Hanna: Three-dimensional computer vision applications for aircraft fuselage materials and structures, 1st Joint DoD/FAA/NASA Conference on Aging Aircraft in (Ogden, 1997) pp. 1327–1341 J.D. Helm, M.A. Sutton, D.S. Dawicke, G. Hanna: Three-dimensional computer vision applications for aircraft fuselage materials and structures, 1st Joint DoD/FAA/NASA Conference on Aging Aircraft in (Ogden, 1997) pp. 1327–1341
20.30.
Zurück zum Zitat J.D. Helm, M.A. Sutton, S.R. McNeill: Deformations in wide, center-notched, thin panels: Part I: Three dimensional shape and deformation measurements by computer vision, Opt. Eng. 42(5), 1293–1305 (2003)CrossRef J.D. Helm, M.A. Sutton, S.R. McNeill: Deformations in wide, center-notched, thin panels: Part I: Three dimensional shape and deformation measurements by computer vision, Opt. Eng. 42(5), 1293–1305 (2003)CrossRef
20.31.
Zurück zum Zitat J.D. Helm, M.A. Sutton, S.R. McNeill: Deformations in wide, center-notched, thin panels: Part II: Finite element analysis and comparison to experimental measurements, Opt. Eng. 42(5), 1306–1320 (2003)CrossRef J.D. Helm, M.A. Sutton, S.R. McNeill: Deformations in wide, center-notched, thin panels: Part II: Finite element analysis and comparison to experimental measurements, Opt. Eng. 42(5), 1306–1320 (2003)CrossRef
20.32.
Zurück zum Zitat O. Faugeras, F. Devernay: Computing differential properties of 3-D shapes from stereoscopic images without 3-D models, INRIA Report 2304 (1994) O. Faugeras, F. Devernay: Computing differential properties of 3-D shapes from stereoscopic images without 3-D models, INRIA Report 2304 (1994)
20.33.
Zurück zum Zitat M. Devy, V. Garric, J.J. Orteu: Camera calibration from multiple views of a 2-D object using a global non-linear minimization method, Int. Conference on Intelligent Robots and Systems (Grenoble, 1997) M. Devy, V. Garric, J.J. Orteu: Camera calibration from multiple views of a 2-D object using a global non-linear minimization method, Int. Conference on Intelligent Robots and Systems (Grenoble, 1997)
20.34.
Zurück zum Zitat D. Garcia, J.J. Orteu, M. Devy: Accurate calibration of a stereovision sensor; Comparison of different approaches, 5-th Workshop on Vision, Modeling and Visualization (Saarbrucken, 2000) pp. 25–32 D. Garcia, J.J. Orteu, M. Devy: Accurate calibration of a stereovision sensor; Comparison of different approaches, 5-th Workshop on Vision, Modeling and Visualization (Saarbrucken, 2000) pp. 25–32
20.35.
Zurück zum Zitat J.M. Lavest, M. Viala, M. Dhome: Do we really need an accurate calibration pattern to achieve a reliable camera calibration?, European Conference on Computer Vision (Frieburg, 1998) pp. 158–174 J.M. Lavest, M. Viala, M. Dhome: Do we really need an accurate calibration pattern to achieve a reliable camera calibration?, European Conference on Computer Vision (Frieburg, 1998) pp. 158–174
20.36.
Zurück zum Zitat H.W. Schreier, D. Garcia, M.A. Sutton: Advances in stereo light microscopy, Exp. Mech. 44(3), 278–289 (2004)CrossRef H.W. Schreier, D. Garcia, M.A. Sutton: Advances in stereo light microscopy, Exp. Mech. 44(3), 278–289 (2004)CrossRef
20.37.
Zurück zum Zitat G. Vendroux, W.G. Knauss: Submicron deformation field measurements, Part II, Improved digital image correlation, Exp. Mech. 38(2), 86–92 (1998)CrossRef G. Vendroux, W.G. Knauss: Submicron deformation field measurements, Part II, Improved digital image correlation, Exp. Mech. 38(2), 86–92 (1998)CrossRef
20.38.
Zurück zum Zitat G. Vendroux, N. Schmidt, W.G. Knauss: Submicron deformation field measurements, Part III, Demonstration of deformation determination, Exp. Mech. 38(3), 154–160 (1998)CrossRef G. Vendroux, N. Schmidt, W.G. Knauss: Submicron deformation field measurements, Part III, Demonstration of deformation determination, Exp. Mech. 38(3), 154–160 (1998)CrossRef
20.39.
Zurück zum Zitat H.W. Schreier, J. Braasch, M.A. Sutton: On systematic errors in digital image correlation, Opt. Eng. 39(11), 2915–2921 (2000)CrossRef H.W. Schreier, J. Braasch, M.A. Sutton: On systematic errors in digital image correlation, Opt. Eng. 39(11), 2915–2921 (2000)CrossRef
20.40.
Zurück zum Zitat H.W. Schreier, M.A. Sutton: Effect of higher order displacement fields on digital image correlation displacement component estimates, Int. J. Exp. Mech. 42(3), 303–311 (2002)CrossRef H.W. Schreier, M.A. Sutton: Effect of higher order displacement fields on digital image correlation displacement component estimates, Int. J. Exp. Mech. 42(3), 303–311 (2002)CrossRef
20.41.
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20.42.
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20.45.
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20.46.
Zurück zum Zitat S.W. Cho, I. Chasiotis, T.A. Friedmann, J.P. Sullivan: Youngʼs modulus, Poissonsʼ ratio and failure properties of tetrahedral amorphous diamond-like carbon for MEMS devices, J. Micromech. Microeng. 15(4), 728–735 (2005)CrossRef S.W. Cho, I. Chasiotis, T.A. Friedmann, J.P. Sullivan: Youngʼs modulus, Poissonsʼ ratio and failure properties of tetrahedral amorphous diamond-like carbon for MEMS devices, J. Micromech. Microeng. 15(4), 728–735 (2005)CrossRef
20.47.
Zurück zum Zitat M.A. Sutton, D. Garcia, N. Cornille, S.R. McNeill, J.J. Orteu: Initial experimental results using an ESEM for metrology, Proc. SEM X Int. Congr. Expo. on Exp. Appl. Mech. (Costa Mesa, 2004) M.A. Sutton, D. Garcia, N. Cornille, S.R. McNeill, J.J. Orteu: Initial experimental results using an ESEM for metrology, Proc. SEM X Int. Congr. Expo. on Exp. Appl. Mech. (Costa Mesa, 2004)
20.48.
Zurück zum Zitat M.A. Sutton, N. Li, D. Garcia, N. Cornille, J.J. Orteu, S.R. McNeill, H.W. Schreier, X. Li: Metrology in an SEM: Theoretical developments and experimental validation, Meas. Sci. Technol. 17(10), 2613–2622 (2006)CrossRef M.A. Sutton, N. Li, D. Garcia, N. Cornille, J.J. Orteu, S.R. McNeill, H.W. Schreier, X. Li: Metrology in an SEM: Theoretical developments and experimental validation, Meas. Sci. Technol. 17(10), 2613–2622 (2006)CrossRef
20.49.
Zurück zum Zitat B.K. Bay, T.S. Smith, D.P. Fyhrie, S. Malik: Digital volume correlation, three dimensional strain mapping using X-ray tomography, Exp. Mech. 39(3), 218–226 (1999)CrossRef B.K. Bay, T.S. Smith, D.P. Fyhrie, S. Malik: Digital volume correlation, three dimensional strain mapping using X-ray tomography, Exp. Mech. 39(3), 218–226 (1999)CrossRef
20.50.
Zurück zum Zitat T.S. Smith, B.K. Bay, M.M. Rashid: Digital volume correlation including rotational degres of freedom during minimization, Exp. Mech. 42(3), 272–278 (2002)CrossRef T.S. Smith, B.K. Bay, M.M. Rashid: Digital volume correlation including rotational degres of freedom during minimization, Exp. Mech. 42(3), 272–278 (2002)CrossRef
20.51.
Zurück zum Zitat C.P. Neu, M.L. Hull: Toward and MRI-based method to measure non-uniform cartilage deformation; An MRI cyclic loading apparatus system and steady-state cyclic displacement of articular cartilage under compressive loading, Trans. ASME 125, 180–187 (2003) C.P. Neu, M.L. Hull: Toward and MRI-based method to measure non-uniform cartilage deformation; An MRI cyclic loading apparatus system and steady-state cyclic displacement of articular cartilage under compressive loading, Trans. ASME 125, 180–187 (2003)
Metadaten
Titel
Digital Image Correlation for Shape and Deformation Measurements
verfasst von
Michael A. Sutton, Prof.
Copyright-Jahr
2008
Verlag
Springer US
DOI
https://doi.org/10.1007/978-0-387-30877-7_20

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