Skip to main content
Erschienen in: Experimental Mechanics 7/2016

29.03.2016

A Dedicated DIC Methodology for Characterizing Plastic Deformation in Single Crystals

verfasst von: X. G. Wang, J. F. Witz, A. El Bartali, A. Oudriss, R. Seghir, P. Dufrénoy, X. Feaugas, E. Charkaluk

Erschienen in: Experimental Mechanics | Ausgabe 7/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper focuses on the development of an appropriate Digital Image Correlation (DIC) methodology based on Image Registration and dedicated for characterizing the plastic deformation in single crystals. A pure nickel single crystal specimen is plastically deformed in tension and investigated by DIC technique. Based on the measured kinematic fields, the proposed method enables to identify the slip activity on the crystal surface and to locate precisely the slip band interfaces at microscale which behave as kinematic discontinuities. The computed displacement data are projected on a well-defined physical basis containing slip details, then the strain fields can be derived directly from a set of analytical functions. The possible errors in displacement induced by this projection approach are evaluated. Finally, some results of the evaluated strain fields are presented. It demonstrates that the developed DIC methodology allows quantitative characterization of a heterogeneous deformation process and promotes further relationships to be established between slip activity and strain field evolution in single crystals.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Magid KR, Florando JN, Lassila DH, LeBlanc MM, Tamura N, Morris JW (2009) Mapping mesoscale heterogeneity in the plastic deformation of a copper single crystal. Phil Mag 89(1):77–107CrossRef Magid KR, Florando JN, Lassila DH, LeBlanc MM, Tamura N, Morris JW (2009) Mapping mesoscale heterogeneity in the plastic deformation of a copper single crystal. Phil Mag 89(1):77–107CrossRef
2.
Zurück zum Zitat Devincre B, Kubin LP, Lemarchand C, Madec R (2001) Mesoscopic simulations of plastic deformation. Mater Sci Eng A 309-310:211–219CrossRef Devincre B, Kubin LP, Lemarchand C, Madec R (2001) Mesoscopic simulations of plastic deformation. Mater Sci Eng A 309-310:211–219CrossRef
3.
Zurück zum Zitat Roters F, Eisenlohr P, Hantcherli L, Tjahjanto DD, Bieler TR, Raabe D (2010) Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Mater 58(4):1152–1211CrossRef Roters F, Eisenlohr P, Hantcherli L, Tjahjanto DD, Bieler TR, Raabe D (2010) Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: theory, experiments, applications. Acta Mater 58(4):1152–1211CrossRef
4.
Zurück zum Zitat Efstathiou C, Sehitoglu H, Lambros J (2010) Multiscale strain measurements of plastically deforming polycrystalline titanium Role of deformation heterogeneities. Int J Plast 26(1):93–106CrossRefMATH Efstathiou C, Sehitoglu H, Lambros J (2010) Multiscale strain measurements of plastically deforming polycrystalline titanium Role of deformation heterogeneities. Int J Plast 26(1):93–106CrossRefMATH
5.
Zurück zum Zitat Feaugas X (1999) On the origin of the tensile flow stress in the stainless steel AISI 316L at 300 k: back stress and effective stress. Acta Mater 47(13):3617–3632CrossRef Feaugas X (1999) On the origin of the tensile flow stress in the stainless steel AISI 316L at 300 k: back stress and effective stress. Acta Mater 47(13):3617–3632CrossRef
6.
Zurück zum Zitat Kramer DE, Savage MF, Levine LE (2005) AFM Observations of slip band development in al single crystals. Acta Mater 53(17):4655–4664CrossRef Kramer DE, Savage MF, Levine LE (2005) AFM Observations of slip band development in al single crystals. Acta Mater 53(17):4655–4664CrossRef
7.
Zurück zum Zitat Feaugas X, Haddou H (2007) Effects of grain size on dislocation organization and internal stresses developed under tensile loading in fcc metals. Phil Mag 87(7):989–1018CrossRef Feaugas X, Haddou H (2007) Effects of grain size on dislocation organization and internal stresses developed under tensile loading in fcc metals. Phil Mag 87(7):989–1018CrossRef
8.
Zurück zum Zitat Blewitt TH, Coltman RR, Redman JK (1955) Dislocations and mechanical properties of crystals. Wiley, New York Blewitt TH, Coltman RR, Redman JK (1955) Dislocations and mechanical properties of crystals. Wiley, New York
9.
Zurück zum Zitat Mecking H, Kocks UF (1981) Kinetics of flow and strain-hardening. Acta Metall 48(3):1865–1875CrossRef Mecking H, Kocks UF (1981) Kinetics of flow and strain-hardening. Acta Metall 48(3):1865–1875CrossRef
10.
Zurück zum Zitat Kocks UF, Mecking H (2003) Physics and phenomenology of strain hardening: the FCC case. Prog Mater Sci 48(3):171–273CrossRef Kocks UF, Mecking H (2003) Physics and phenomenology of strain hardening: the FCC case. Prog Mater Sci 48(3):171–273CrossRef
11.
Zurück zum Zitat Taylor GI, Elam CF (1923) Bakerian lecture. the distortion of an aluminium crystal during a tensile test. Proc Royal Soc London Ser A 102(719):643–667CrossRef Taylor GI, Elam CF (1923) Bakerian lecture. the distortion of an aluminium crystal during a tensile test. Proc Royal Soc London Ser A 102(719):643–667CrossRef
12.
Zurück zum Zitat Chin GY, Thurston RN, Nesbitt EA (1966) Finite plastic deformation due to crystallographic slip. Trans Metall Soc AIME 236:69–76 Chin GY, Thurston RN, Nesbitt EA (1966) Finite plastic deformation due to crystallographic slip. Trans Metall Soc AIME 236:69–76
13.
Zurück zum Zitat Basinski ZS, Basinski SJ (2004) Quantitative determination of secondary slip in copper single crystals deformed in tension. Phil Mag 84(3-5):213–251CrossRef Basinski ZS, Basinski SJ (2004) Quantitative determination of secondary slip in copper single crystals deformed in tension. Phil Mag 84(3-5):213–251CrossRef
14.
Zurück zum Zitat Chu TC, Ranson WF, Sutton MA (1985) Applications of digital-image-correlation techniques to experimental mechanics. Exp Mech 25(3):232–244CrossRef Chu TC, Ranson WF, Sutton MA (1985) Applications of digital-image-correlation techniques to experimental mechanics. Exp Mech 25(3):232–244CrossRef
15.
Zurück zum Zitat Sutton MA, Orteu JJ, Schreier H (2009) Image correlation for shape, motion and deformation measurements: Basic Concepts, Theory and Applications. Springer, New York Sutton MA, Orteu JJ, Schreier H (2009) Image correlation for shape, motion and deformation measurements: Basic Concepts, Theory and Applications. Springer, New York
16.
Zurück zum Zitat Pan B (2011) Recent progress in digital image correlation. Exp Mech 51(7):1223–1235CrossRef Pan B (2011) Recent progress in digital image correlation. Exp Mech 51(7):1223–1235CrossRef
17.
Zurück zum Zitat Grédiac M, Hild F (2012) Full-field measurements and identification in solid mechanics. Wiley, New YorkMATH Grédiac M, Hild F (2012) Full-field measurements and identification in solid mechanics. Wiley, New YorkMATH
18.
Zurück zum Zitat Kammers AD, Daly S (2013) Digital image correlation under scanning electron microscopy: Methodology and validation. Experimental Mechanics 53(9):1743–1761CrossRef Kammers AD, Daly S (2013) Digital image correlation under scanning electron microscopy: Methodology and validation. Experimental Mechanics 53(9):1743–1761CrossRef
19.
Zurück zum Zitat Besnard G, Hild F, Roux S (2006) “Finite-element” displacement fields analysis from digital images: application to portevin-le châtelier bands. Exp Mech 46(6):789–803CrossRef Besnard G, Hild F, Roux S (2006) “Finite-element” displacement fields analysis from digital images: application to portevin-le châtelier bands. Exp Mech 46(6):789–803CrossRef
20.
Zurück zum Zitat El Bartali A, Aubin V, Degallaix S (2008) Fatigue damage analysis in a duplex stainless steel by digital image correlation technique. Fatigue Fract Eng Mater Struct 31(2):137–151CrossRef El Bartali A, Aubin V, Degallaix S (2008) Fatigue damage analysis in a duplex stainless steel by digital image correlation technique. Fatigue Fract Eng Mater Struct 31(2):137–151CrossRef
21.
Zurück zum Zitat Bodelot L, Charkaluk E, Sabatier L, Dufrénoy P (2011) Experimental study of heterogeneities in strain and temperature fields at the microstructural level of polycrystalline metals through fully-coupled full-field measurements by digital image correlation and infrared thermography. Mech Mater 43(11):654–670CrossRef Bodelot L, Charkaluk E, Sabatier L, Dufrénoy P (2011) Experimental study of heterogeneities in strain and temperature fields at the microstructural level of polycrystalline metals through fully-coupled full-field measurements by digital image correlation and infrared thermography. Mech Mater 43(11):654–670CrossRef
22.
Zurück zum Zitat Li L, Latourte F, Muracciole JM, Sabatiera L, Wattrisse B (2015) Calorimetric analysis of coarse-grained polycrystalline aluminum by IRT and DIC. Quant InfraRed Thermography J 12(1):80–97CrossRef Li L, Latourte F, Muracciole JM, Sabatiera L, Wattrisse B (2015) Calorimetric analysis of coarse-grained polycrystalline aluminum by IRT and DIC. Quant InfraRed Thermography J 12(1):80–97CrossRef
23.
Zurück zum Zitat Zhao Z, Ramesh M, Raabe D, Cuitiño AM, Radovitzky R (2008) Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminum oligocrystal. Int J Plast 24(12):2278–2297CrossRefMATH Zhao Z, Ramesh M, Raabe D, Cuitiño AM, Radovitzky R (2008) Investigation of three-dimensional aspects of grain-scale plastic surface deformation of an aluminum oligocrystal. Int J Plast 24(12):2278–2297CrossRefMATH
24.
Zurück zum Zitat Saai A, Louche H, Tabourot L, Chang HJ (2010) Experimental and numerical study of the thermo-mechanical behavior of Al bi-crystal in tension using full field measurements and micromechanical modeling. Mech Mater 42(3):275–292CrossRef Saai A, Louche H, Tabourot L, Chang HJ (2010) Experimental and numerical study of the thermo-mechanical behavior of Al bi-crystal in tension using full field measurements and micromechanical modeling. Mech Mater 42(3):275–292CrossRef
25.
Zurück zum Zitat Florando JN, LeBlanc MM, Lassila DH (2007) Multiple slip in copper single crystals deformed in compression under uniaxial stress. Scr Mater 57(6):537–540CrossRef Florando JN, LeBlanc MM, Lassila DH (2007) Multiple slip in copper single crystals deformed in compression under uniaxial stress. Scr Mater 57(6):537–540CrossRef
26.
Zurück zum Zitat Efstathiou C, Sehitoglu H (2010) Strain hardening and heterogeneous deformation during twinning in hadfield steel. Acta Mater 58(5):1479–488CrossRef Efstathiou C, Sehitoglu H (2010) Strain hardening and heterogeneous deformation during twinning in hadfield steel. Acta Mater 58(5):1479–488CrossRef
27.
Zurück zum Zitat Charkaluk E, Seghir R, Bodelot L, Witz JF, Dufrénoy P (2015) Microplasticity in polycrystals A thermomechanical experimental perspective. Exp Mech 55(4):741–752CrossRef Charkaluk E, Seghir R, Bodelot L, Witz JF, Dufrénoy P (2015) Microplasticity in polycrystals A thermomechanical experimental perspective. Exp Mech 55(4):741–752CrossRef
28.
Zurück zum Zitat Wang XG, Witz JF, El Bartali A, Oudriss A, Jiang C (2015) Quantitative infrared thermography applied to subgrain scale and the effect of out-of-plane deformation. Infrared Phys Technol 71:432–438CrossRef Wang XG, Witz JF, El Bartali A, Oudriss A, Jiang C (2015) Quantitative infrared thermography applied to subgrain scale and the effect of out-of-plane deformation. Infrared Phys Technol 71:432–438CrossRef
29.
Zurück zum Zitat Cheng P, Sutton MA, Schreier HW, McNeill SR (2002) Full-field speckle pattern image correlation with b-spline deformation function. Exp Mech 42(3):344–352CrossRef Cheng P, Sutton MA, Schreier HW, McNeill SR (2002) Full-field speckle pattern image correlation with b-spline deformation function. Exp Mech 42(3):344–352CrossRef
30.
Zurück zum Zitat Hild F, Roux S (2012) Comparison of local and global approaches to digital image correlation. Exp Mech 52(9):1503–1519CrossRef Hild F, Roux S (2012) Comparison of local and global approaches to digital image correlation. Exp Mech 52(9):1503–1519CrossRef
31.
Zurück zum Zitat Seghir R, Witz JF, Charkaluk E, Dufrénoy P (2012) Improvement of thermomechanical full-field analysis of metallic polycrystals using crystallographic data. Mech Ind 13(6):395–403CrossRef Seghir R, Witz JF, Charkaluk E, Dufrénoy P (2012) Improvement of thermomechanical full-field analysis of metallic polycrystals using crystallographic data. Mech Ind 13(6):395–403CrossRef
32.
Zurück zum Zitat Lekbir C, Creus J, Sabot R, Feaugas X (2013) Influence of plastic strain on the hydrogen evolution reaction on nickel (100) single crystal surfaces to improve hydrogen embrittlement. Mater Sci Eng A 578:24–34CrossRef Lekbir C, Creus J, Sabot R, Feaugas X (2013) Influence of plastic strain on the hydrogen evolution reaction on nickel (100) single crystal surfaces to improve hydrogen embrittlement. Mater Sci Eng A 578:24–34CrossRef
33.
Zurück zum Zitat Klein S, Staring M, Murphy K, Viergever MA, Pluim JPW (2010) elastix: A toolbox for intensity-based medical image registration. IEEE Trans Med Imaging 29(1):196–205CrossRef Klein S, Staring M, Murphy K, Viergever MA, Pluim JPW (2010) elastix: A toolbox for intensity-based medical image registration. IEEE Trans Med Imaging 29(1):196–205CrossRef
35.
Zurück zum Zitat Zitová B, Flusser J (2003) Image registration methods: a survey. Image Vis Comput 21(11):977–1000CrossRef Zitová B, Flusser J (2003) Image registration methods: a survey. Image Vis Comput 21(11):977–1000CrossRef
36.
Zurück zum Zitat Maintz JBA, Viergever MA (1998) A survey of medical image registration. Med Image Anal 2:1–36CrossRef Maintz JBA, Viergever MA (1998) A survey of medical image registration. Med Image Anal 2:1–36CrossRef
37.
Zurück zum Zitat Westerweel J (1997) Fundamentals of digital particle image velocimetry. Meas Sci Technol 8(12):1379–1392CrossRef Westerweel J (1997) Fundamentals of digital particle image velocimetry. Meas Sci Technol 8(12):1379–1392CrossRef
38.
Zurück zum Zitat Rueckert D, Sonoda LI, Hayes C, Hill DLG, Leach MO, Hawkes DJ (1999) Nonrigid registration using free-form deformations: Application to breast mr images. IEEE Trans Med Imaging 18:712–721CrossRef Rueckert D, Sonoda LI, Hayes C, Hill DLG, Leach MO, Hawkes DJ (1999) Nonrigid registration using free-form deformations: Application to breast mr images. IEEE Trans Med Imaging 18:712–721CrossRef
39.
Zurück zum Zitat Unser M (1999) Splines: a perfect fit for signal and image processing. IEEE Signal Proc Mag 16(6):22–38CrossRef Unser M (1999) Splines: a perfect fit for signal and image processing. IEEE Signal Proc Mag 16(6):22–38CrossRef
40.
Zurück zum Zitat Hauser JJ, Jackson KA (1961) Effect of grip constraints on the tensile deformation of f.c.c. single crystals. Acta Metall 9(1):1–13CrossRef Hauser JJ, Jackson KA (1961) Effect of grip constraints on the tensile deformation of f.c.c. single crystals. Acta Metall 9(1):1–13CrossRef
41.
Zurück zum Zitat Higashida K, Takamura J, Narita N (1986) The formation of deformation bands in f.c.c. crystals. Mater Sci Eng 81:239–258CrossRef Higashida K, Takamura J, Narita N (1986) The formation of deformation bands in f.c.c. crystals. Mater Sci Eng 81:239–258CrossRef
42.
Zurück zum Zitat Takamura J (1987) Formation of deformation bands and work hardening of fcc crystals. Trans Jpn Inst Met 28 (3):165–181CrossRef Takamura J (1987) Formation of deformation bands and work hardening of fcc crystals. Trans Jpn Inst Met 28 (3):165–181CrossRef
Metadaten
Titel
A Dedicated DIC Methodology for Characterizing Plastic Deformation in Single Crystals
verfasst von
X. G. Wang
J. F. Witz
A. El Bartali
A. Oudriss
R. Seghir
P. Dufrénoy
X. Feaugas
E. Charkaluk
Publikationsdatum
29.03.2016
Verlag
Springer US
Erschienen in
Experimental Mechanics / Ausgabe 7/2016
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-016-0159-9

Weitere Artikel der Ausgabe 7/2016

Experimental Mechanics 7/2016 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.