Skip to main content
Log in

Experimental full field analysis for dynamic fracture of elastomer membranes

  • Original Paper
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Crack speed prediction in elastomer membranes under large strain (more than 150%) remains a delicate question which necessitates coupled experimental-theoretical investigations. In order to compare experimental results with theoretical approaches but also to improve the understanding of dynamic crack propagation in soft materials, a crucial step is the measurement and analysis of kinematic and energetic fields in the material configuration during dynamic fracture. In this way, the proposed set-up consists in a two-camera set-up in order to perform digital image correlation during both quasi-static loading and dynamic fracture of the sample. The variety of kinematic and energetic fields that can be computed is illustrated. Finally, two studies highlighting the promises of full-field measurements in large strain fracture mechanics are presented: the computation of the dynamic J-integral and the observation of mechanical waves during high speed crack growth in elastomer membranes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  • Atkinson C, Eshelby JD (1968) The flow of energy into the tip of a moving crack. Int J Fract Mech 4:3–8

    Google Scholar 

  • Caimmi F, Calabrò R, Briatico-Vangosa F, Marano C, Rink M (2015) J-integral from full field kinematic data for natural rubber compounds. Strain 51:343–356

    CAS  Google Scholar 

  • Chao YJ, Luo PF, Kalthoff JF (1998) An experimental study of the deformation fields around a propagating crack tip. Exp Mech 38:79–85

    Google Scholar 

  • Chen CH, Zhang HP, Niemczura J, Ravi-Chandar K, Marder M (2011) Scaling of crack propagation in rubber sheets. EPL 96:36009

    Google Scholar 

  • Chevalier L, Calloch S, Hild F, Marco Y (2001) Digital image correlation used to analyze the multiaxial behavior of rubber-like materials. Eur J Mech 20:169–187

    Google Scholar 

  • Dally JW (1979) Dynamic photoelastic studies of fracture. Exp Mech 19:349–361

    Google Scholar 

  • Deegan RD, Petersan PJ, Marder M, Swinney HL (2001) Oscillating fracture paths in rubber. Phys Rev Lett 88:014304

    Google Scholar 

  • Freund LB (1972) Energy flux into the tip of an extending crack in an elastic solid. J Elast 2:341–349

    Google Scholar 

  • Freund LB (1998) Dynamic fracture mechanics. Cambridge University Press, Cambridge

    Google Scholar 

  • Gent AN (1996) Adhesion and strength of viscoelastic solids. is there a relationship between adhesion and bulk properties? Langmuir 12:4492–4496

    CAS  Google Scholar 

  • Gent AN, Marteny P (1982) Crack velocities in natural rubber. J Mater Sci 17:2955–2960

    CAS  Google Scholar 

  • Goldman T, Livne A, Fineberg J (2010) Acquisition of inertia by a moving crack. Phys Rev Lett 104:114301

    Google Scholar 

  • Goldman Boué T, Harpaz R, Fineberg J, Bouchbinder E (2015) Failing softly: a fracture theory of highly-deformable materials. Soft Matter 11:3812–3821

    Google Scholar 

  • Greensmith HW (1963) Rupture of rubber. X. The change in stored energy on making a small cut in a test piece held in simple extension. J Appl Polym Sci 7:993–1002

    CAS  Google Scholar 

  • Greensmith HW, Thomas AG (1955) Rupture of rubber. III. Determination of tear properties. J Polym Sci Part A 18:189–200

    CAS  Google Scholar 

  • Griffith AA (1921) The phenomena of rupture and flow in solids. Philosoph Trans R Soc Series A 221:163–198

    Google Scholar 

  • Gurtin ME, Yatomi C (1980) On the energy release rate in elastodynamic crack propagation. Arch Ratio Mech Anal 74:231–247

    Google Scholar 

  • Kadir A, Thomas AG (1981) Tear behavior of rubbers over a wide range of rates. Rubber Chem Technol 54:15–23

    Google Scholar 

  • Kirugulige MS, Tippur H (2009) Measurement of fracture parameters for a mixed-mode crack driven by stress waves using image correlation technique and high-speed digital photography. Strain 45:108–122

    Google Scholar 

  • Lake GJ, Lawrence CC, Thomas AG (2000) High-speed fracture of elastomers: Part I. Rubber Chem Technol 73:801–817

    CAS  Google Scholar 

  • Livne A, Bouchbinder E, Svetlizky I, Fineberg J (2010) The near-tip fields of fast cracks. Science 327:1359–1363

    CAS  Google Scholar 

  • Long R, Hui CY (2015) Crack tip fields in soft elastic solids subjected to large quasi-static deformation—a review. Extrem Mech Lett 4:131–155

    Google Scholar 

  • Long R, Krishnan VR, Hui CY (2011) Finite strain analysis of crack tip fields in incompressible hyperelastic solids loaded in plane stress. J Mech Phys Solids 59:672–695

    Google Scholar 

  • Marckmann G, Verron E (2006) Comparison of hyperelastic models for rubber-like materials. Rubber Chem Technol 79:835–858

    CAS  Google Scholar 

  • Marder M (2006) Supersonic rupture of rubber. J Mech Phys Solids 54:491–532

    CAS  Google Scholar 

  • Mason P (1963) Finite elastic wave propagation in rubber. Proc R Soc Lond A 272:315–330

    Google Scholar 

  • Maugin GA (1993) Material inhomogeneities in elasticity, vol 3. CRC Press, Boca Raton

    Google Scholar 

  • Maugin GA (1995) Material forces: concepts and applications. Appl Mech Rev 48:213

    Google Scholar 

  • Moran B, Shih CF (1987) Crack tip and associated domain integrals from momentum and energy balance. Eng Fract Mech 27:615–642

    Google Scholar 

  • Morishita Y, Tsunoda K, Urayama K (2016) Velocity transition in the crack growth dynamics of filled elastomers: Contributions of nonlinear viscoelasticity. Phys Rev E 93:043001

    Google Scholar 

  • Moulinet S, Adda-Bedia M (2015) Popping balloons: a case study of dynamical fragmentation. Phys Rev Lett 115:184301

    Google Scholar 

  • Ogden RW (1972) Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids. Proc R Soc Lond A 326:565–584

    CAS  Google Scholar 

  • Petersan PJ, Deegan RD, Marder M, Swinney HL (2004) Cracks in rubber under tension exceed the shear wave speed. Phys Rev Lett 93:015504

    Google Scholar 

  • Petiteau J-C, Othman R, Guégan P, Le Sourne H, Verron E (2013a) Dynamic uniaxial extension of elastomers at constant true strain rate. Polym Test 32:394–401

    CAS  Google Scholar 

  • Qi Y, Zou Z, Xiao J, Long R (2019) Mapping the nonlinear crack tip deformation field in soft elastomer with a particle tracking method. J Mech Phys Solids 125:326–346

    CAS  Google Scholar 

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

    Google Scholar 

  • Rivlin RS, Thomas AG (1953) Rupture of rubber. I. Characteristic energy for tearing. J Polym Sci 10:291

    CAS  Google Scholar 

  • Roland CM, Twigg JN, Vu Y, Mott PH (2007) High strain rate mechanical behavior of polyurea. Polymer 48:574–578

    CAS  Google Scholar 

  • Rublon P, Huneau B, Verron E, Saintier N, Beurrot S, Leygue A, Mocuta C, Thiaudière D, Berghezan D (2014) Multiaxial deformation and strain-induced crystallization around a fatigue crack in natural rubber. Eng Fract Mech 123:59–69

    Google Scholar 

  • Stevenson A, Thomas AG (1979) On the bursting of a balloon. J Phys D 12:2101

    CAS  Google Scholar 

  • Sutton MA, Orteu JJ, Schreier H (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer, Berlin

    Google Scholar 

  • Treloar LRG (1944) Strains in an inflated rubber sheet, and the mechanism of bursting. Rubber Chem Technol 17:957–967

    CAS  Google Scholar 

  • Treloar LRG (1944) Stress-strain data for vulcanised rubber under various types of deformation. Trans Farad Soc 40:59–77

    CAS  Google Scholar 

  • Washabaugh PD, Knauss WG (1994) A reconciliation of dynamic crack velocity and Rayleigh wave speed in isotropic brittle solids. Int J Fract 65:97–114

    Google Scholar 

  • Yeoh OH (2001) Analysis of deformation and fracture of ‘pure shear’ rubber testpiece. Plast Rubb Compos 30:389–397

    CAS  Google Scholar 

  • Zhang HP, Niemczura J, Dennis G, Ravi-Chandar K, Marder M (2009) Toughening effect of strain-induced crystallites in natural rubber. Phys Rev Lett 102:245503

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Corre.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (avi 32646 KB)

Supplementary material 2 (avi 14545 KB)

Supplementary material 3 (avi 7028 KB)

Supplementary material 4 (avi 3098 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Corre, T., Coret, M., Verron, E. et al. Experimental full field analysis for dynamic fracture of elastomer membranes. Int J Fract 224, 83–100 (2020). https://doi.org/10.1007/s10704-020-00447-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-020-00447-1

Keywords

Navigation