Skip to main content
Log in

Residually Stressed Bimaterial Beam Specimen for Measuring Environmentally Assisted Crack Growth

  • Research paper
  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

Background:

Subcritical crack growth can occur in a brittle material when the stress intensity factor is smaller than the fracture toughness if an oxidizing agent (such as water) is present at the crack tip.

Objective:

We present a novel bi-material beam specimen which can measure environmentally assisted crack growth rates. The specimen is “self-loaded” by residual stress and requires no external loading.

Methods:

Two materials with different coefficient of thermal expansion are diffusion bonded at high temperature. After cooling to room temperature a subcritical crack is driven by thermal residual stresses. A finite element model is used to design the specimen geometry in terms of material properties in order to achieve the desired crack tip driving force.

Results:

The specimen is designed so that the crack driving force decreases as the crack extends, thus enabling the measurement of the crack velocity versus driving force relationship with a single test. The method is demonstrated by measuring slow crack growth data in soda lime silicate glass and validated by comparison to previously published data.

Conclusions:

The self-loaded nature of the specimen makes it ideal for measuring the very low crack velocities needed to predict brittle failure at long lifetimes.

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

Similar content being viewed by others

References

  1. Freiman SW (1984) Effects of chemical environments on slow crack growth in glasses and ceramics. J Geophys Res 89(B6):4072–4076

    Article  Google Scholar 

  2. Frieman SW, Widerhorn SM, Mecholsky JJJ (2009) Environmentally enhanced fracture of glass: a historical perspective. J Am Ceram Soc 92(7):1371–1382

    Article  Google Scholar 

  3. Wiederhorn S (1967) Influence of water vapor on crack propagation in soda-lime glass. J Am Ceram Soc 50(8):407–414

    Article  Google Scholar 

  4. Wiederhorn SM (1968) Moisture assisted crack growth in ceramics. Int J Fract Mech 4(2):171–177

    Article  Google Scholar 

  5. Wiederhorn SM, Bolz LH (1970) Stress corrrosion and static fatigue of glass. J Am Ceram Soc 53(10):543–548

    Article  Google Scholar 

  6. Cognard J (1986) Use of the wedge test to estimate the lifetime of an adhesive joint in an aggressive environment. Int J Adhes Adhes 6(4):215–220

    Article  Google Scholar 

  7. Tandon R, Newton CS, Monroe SL, Glass SJ, Roth CJ (2007) Sub-critical crack growth behavior of a low-temperature co-fired ceramic. J Am Ceram Soc 90(5):1527–1533

    Article  Google Scholar 

  8. Cook RF, Lawn BR, Anstis GR (1982) Fatigue analysis of brittle materials using indentation flaws. J of Mat Sci 17:1108–1116

    Article  Google Scholar 

  9. Cook RF (2015) Multi-scale effects in the strength of ceramics. J Am Ceram Soc 98(10):2933–2947

    Article  Google Scholar 

  10. Kuczynski GC (1949) Study of the sintering of glass. J App Phys 20:1160–1163

    Article  Google Scholar 

  11. Suo Z, Hutchinson JW (1989) Steady-state cracking in brittle substrates beneath adherent films. Int J Solids Struct 25(11):1337–1353

    Article  Google Scholar 

  12. Sandia National Laboratories, Sierra/solidmechanics User’s Guide 4th Edition (2015)

  13. Consultants, Fracture Analysis, Inc, FRANC3d Reference Manual 7th Edition (2016)

  14. Hutchinson JW (1992) Mixed mode cracking in layered materials. Adv in Appl Mech 29:63–191

    Article  Google Scholar 

  15. Goldstein RV, Salganik RL (1974) Brittle fracture of solids with arbitrary cracks. Int J Fract 10:507–523

    Article  Google Scholar 

  16. Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng-T ASME 85:516–527

    Google Scholar 

  17. Freiman SW, White GS, Fuller JER (1985) Environmentally enhanced crack growth in soda-lime glass. J Am Ceram Soc 68(3):108–112

    Article  Google Scholar 

  18. Grutzik SJ, Reedy ED (2016) Crack path selection in thermally loaded borosilicate/steel bibeam specimen, Society for Experimental Mechanics. Springer

  19. Guin J, Wiederhorn SM (2003) Crack growth threshold in soda lime silicate glass: role of hold-time. J Non-Cryst Solids 316: 12–20

    Article  Google Scholar 

Download references

Acknowledgments

The authors thank Matthew Brake, Michaela Negus, Diane Peebles, Jim Redmond, and Dennis Croessmann of Sandia National Laboratories for organization and support of the Nonlinear Mechanics and Dynamics (NOMAD) Institute. The authors also gratefully acknowledge support from Fracture Analysis Consultants, Inc. for donating a summer license of FRANC3D for use at the NOMAD Institute. Sandia National Laboratories is a multi-mission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525. The authors declare that they have no conflicts of interest.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S.J. Grutzik.

Ethics declarations

Conflict of interests

The authors do not have any conflicts of interest to disclose and this work did not involve human or animal participants.

Additional information

Publisher’s Note

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

This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Grutzik, S., Aduloju, S., Truster, T. et al. Residually Stressed Bimaterial Beam Specimen for Measuring Environmentally Assisted Crack Growth. Exp Mech 61, 411–418 (2021). https://doi.org/10.1007/s11340-020-00659-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-020-00659-5

Keywords

Navigation