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Identification algorithm for fracture parameters by combining DIC and FEM approaches

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Abstract

This research program focuses on a hybrid experimental and numerical approach to identifying the mechanical state in the vicinity of a crack. The digital image correlation, as corrected by interpolating a theoretical displacement field, enables determining the crack opening intensity factors representative of the kinematic state of crack lips. A finite element model is introduced for calculating stress intensity factors. The parallelism derived from the DIC method and FEM approach is presented by means of a specific identification algorithm that allows computing the energy release rate within a common finite element mesh. This algorithm is then illustrated by testing the opening-mode configuration for a PVC sample.

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References

  • Abanto-Bueno J, Lambros J (2002) Investigation of crack growth in functionally graded materials using digital image correlation. Eng Fract Mech 69: 1695–1711

    Article  Google Scholar 

  • Atluri SN, Kobayashi AS (1993) Mechanical response of materials. In: Handbook on experimental mechanics. Prentice-Hall, Englewood cliffs, pp 1–37

  • Barsoum RS (1976) On the use of isoparametric finite elements in linear fracture mechanics. Int J Numer Methods Eng 10: 25–37

    Article  Google Scholar 

  • Begley JA, Landes JD (1972) The J Integral as a fracture criterion, fracture toughness. In: Proceeding of the 1971 national symposium on fracture mechanics, part II, ASTM STP 514, American Socity for Testing and Materials, pp 1–20

  • Besnard G, Hild F, Roux S (2006) “Finite-element” displacement fields analysis from digital images: application to Portevin-Le Chatelier bands. Exp Mech 46: 789–804

    Article  Google Scholar 

  • Breque C, Brémand F, Gayet LG (2001) Local strain measurement by tracking method for biomechanical tissues. Arch Physiol Biochem 109: 1–144

    Article  Google Scholar 

  • Bretagne N, Valle V, Dupré JC (2005) Development of the marks tracking technique for strain field and volume variation measurements. NDT&E Int 38(4): 290–298

    Article  Google Scholar 

  • Bruck HA, McNeill SR, Sutton MA, Peters WH (1989) Digital image correlation using Newton–Raphson method of partial differential correction. Exp Mech 29(3): 261–267

    Article  Google Scholar 

  • Bui HD (1978) Some mechanical aspects of the fracture problems, Matériaux et structures sous chargement cyclique, Palaiseau 28 et 29 september, pp 117–131

  • Debruyene G (2000) Proposition d’un paramètre énergétique de rupture pour les matériaux dissipatifs. C. R. Acad Sci Paris 328: 785–791

    Google Scholar 

  • Destuynder PH, Djaoua M, Lescure S (1983) Quelques remarques sur la mécanique de la rupture élastique. J de Mécanique Théorique et Appliquée 2: 113–135

    Google Scholar 

  • Dubois F (1997) Modélisation du comportement mécanique des milieux viscoélastiques fissurés: Application au matériau bois, Thèse de doctorat de l’Université de Limoges

  • Dubois F, Chazal C, Petit C (2002) Viscoelastic crack growth process in wood timbers: an approach by the finite element method for mode I fracture. Int J Fract 113: 367–388

    Article  Google Scholar 

  • Dubois F, Petit C (2005) Modelling of the crack growth initiation in viscoelastic media by the G θ integral. Eng Fract Mech 72: 2821–2836

    Article  Google Scholar 

  • Eshelby JD (1968) Stress analysis: elasticity and fracture mechanics. ISI Publ. 121: 13–48

    Google Scholar 

  • Fedele R, Raka B, Hild F, Roux S (2009) Identification of adhesive properties in GLARE assemblies using digital image correlation. J Mech Phys Solids 57: 1003–1016

    Article  CAS  Google Scholar 

  • Freund LB (1990) Dynamic fracture mechanics, Cambridge monographs on mechanics and applied mathematics. Cambridge University Press, Cambridge

    Google Scholar 

  • Henshell RD, Shaw KG (1975) Crack tip elements are unnecessary. Int J Numer Methods Eng 9: 495–507

    Article  Google Scholar 

  • Hild F, Roux S (2006) Measuring stress intensity factors with a camera: integrated digital image correlation (I-DIC). Comptes Rendus Mécanique 334(1): 8–12

    Article  Google Scholar 

  • Huntley JM, Field JE (1989) Measurement of crack tip displacement field using laser speckle photography. Eng Fract Mech 30: 779–790

    Article  Google Scholar 

  • Irwin GR (1957) Analysis of stresses and strains near the end of crack traversing a plate. J Appl Mech 24: 361–364

    Google Scholar 

  • Ju SH, Liu SH, Liu KW (2006) Measurement of stress intensity factor by digital camera. Int J Solids Struc 43: 1009–1022

    Article  Google Scholar 

  • Landes JD, Begley JA (1972) The Effect of specimen geometry on JIc, fracture toughness. In: Proceeding of the 1971 national symposium on fracture mechanics, part II, ASTM STP 514. American society for testing and materials, pp 24–39

  • Lee RS, Hsu QC (1994) Image-processing system for circular-grid analysis in sheet-metal forming. Exp Mech 34(2): 108–115

    Article  Google Scholar 

  • Machida K, Suzuki Y,. (2006) Examination of the accuracy of the singular stress field near a crack-tip by digital image correlation. Key Eng Mater 321–323, 32–37

  • Mc Neil S, Peters W, Sutton M (1987) Estimation of stress intensity factors by digital image correlation. Eng Frac Mech 28(1): 101–112

    Article  Google Scholar 

  • Muskhelishvili NI, (1933) Some basic problem of mathematical theory of elasticity, English translation Noordhoff

  • Nishioka T, Kurio K, Nakabayashi H (2000) An intelligent hybrid method to automatically detect and eliminate experimental measurement errors for linear elastic deformation fields. Exp Mech 40(2): 170–179

    Article  Google Scholar 

  • Parks DM (1974) A stiffness derivative finite element technique for determination of crack tip stress intensity factors. Int J Frac 10: 487–502

    Article  Google Scholar 

  • Parks DM (1977) The virtual crack extension method for nonlinear material behavior. Comput Methods Appl Mech Eng 12(3): 353–364

    Article  Google Scholar 

  • Peters WH, Ranson WF (1982) Digital image techniques in experimental stress analysis. Opt Eng 21(3): 427–431

    Google Scholar 

  • Rajaram H, Socrate S, Parks DM (2000) Application of domain integral methods using tetrahedral elements to the determination of stress intensity factors. Eng Frac Mech 66: 455–482

    Article  Google Scholar 

  • Ramesh K, Gupta S, Kelkar AA (1997) Evaluation of stress fields parameters in fracture mechanics by photoelasticity-revisited. Eng Fract Mech 56(1): 25–45

    Article  Google Scholar 

  • Réthoré J, Gravouil A, Morestin F, Combescure A (2005) Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral. Int J Fract 132: 65–79. doi:10.1007/s10704-004-8141-4

    Article  Google Scholar 

  • Réthoré J, Roux S, Hild F (2008) Noise-robust stress intensity factor determination from kinematic field measurements. Eng Fract Mech (75):3763–3781

  • Réthoré J, Roux S, Hild F (2009) An extended and integrated digital image correlation technique applied to analysis fractured samples. Eur J Comput Mech 18: 285–306

    Google Scholar 

  • Réthoré J, Roux S, Hild F (2010) Mixed-mode crack propagation using a hybrid analytical and extended finite element method. Comptes Rendus Mécanique 338(3): 121–126

    Article  Google Scholar 

  • Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech Trans ASME 35: 379–386

    Google Scholar 

  • Rotinat R, Tié Bi R, Valle V, Dupré JC (2001) Two optical procedures for local large-strain measurement. Strain 37(3): 89–98

    Article  Google Scholar 

  • Roux S, Hild F (2006) Stress intensity factor measurement from digital image correlation: post-processing and integrated approaches. Int J Fract 140(1–4): 141–157

    Article  Google Scholar 

  • Suo XS, Combescure A (1992) On the application of the G θ method and its comparison with de Lorenzi’s approach. Nucl Eng Des 135: 207–224

    Article  Google Scholar 

  • Sutton MA, Wolters WJ, Peters WH, Ranson WF, McNeil SR (1983) Determination of displacements using an improved digital correlation method. Image Vis Comput 1(3): 133–139

    Article  Google Scholar 

  • Sutton MA, Cheng MQ, Peters WH, Chao YJ, McNeill SR (1986) Application of an optimized digital correlation method to planar deformation analysis. Image Vis Comput 4(3): 143–151

    Article  Google Scholar 

  • Sutton MA, Turner JL, Bruck HA, Chae TA (1991) Full-field representation of discretely sampled surface deformation for displacement and strain analysis. Exp Mech 31(2): 168–177

    Article  Google Scholar 

  • Sutton MA, McNell S, Helm J, Chao Y (2000) Advances in two-dimensional and three-dimensional computer vision, photomechanics. Springer, Berlin, pp 323–372

    Google Scholar 

  • Sutton MA, Yan JH, Tiwari V, Schreier HW, Orteu JJ (2008) The effect of out-of-plane motion on 2D and 3D digital image correlation measurements. Opt Lasers Eng 46(10): 746–757

    Article  Google Scholar 

  • Westergaard HM (1939) Bearing pressure and cracks. J Appl Mech 61: A49–A53

    Google Scholar 

  • Williams M (1957) On the stress distribution at the base of a stationary crack. ASME J Appl Mech 24: 109–114

    Google Scholar 

  • Yoneyama S, Morimoto Y, Takashi M (2003) Automatic determination method of stress intensity utilizing digital image correlation and nonlinear least squares. In: Wu Z, Abe M (eds) Structural health monitoring and intelligent infrastructure. Swet & Zeitlinger, Amsterdam, pp 1357–1424

    Google Scholar 

  • Yoneyama S, Morimoto Y, Takashi M (2006) Automatic evaluation of mixed-mode stress intensity factors utilizing digital image correlation. Strain 42: 21–29

    Article  Google Scholar 

  • Yoneyama S, Ogawa T, Kobayashi Y (2007) Evaluating mixed-mode stress intensity factors from full-field displacement obtained by optical methods. Eng Fract Mech 74: 1399–1412

    Article  Google Scholar 

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Authors and Affiliations

  1. Heterogeneous Material Research Group, Civil Engineering and Durability Department, University of Limoges, Egletons, France

    Octavian Pop, Mamadou Meite, Frédéric Dubois & Joseph Absi

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  1. Octavian Pop
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  2. Mamadou Meite
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  3. Frédéric Dubois
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  4. Joseph Absi
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Correspondence to Frédéric Dubois.

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Pop, O., Meite, M., Dubois, F. et al. Identification algorithm for fracture parameters by combining DIC and FEM approaches. Int J Fract 170, 101–114 (2011). https://doi.org/10.1007/s10704-011-9605-y

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  • DOI: https://doi.org/10.1007/s10704-011-9605-y

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