Skip to main content
SpringerLink
Log in

Crack propagation studies in brittle materials

  • Papers
  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

An analysis was made of cantilever beam specimens used for crack propagation studies, Included in this analysis were the effects of a plastic zone at the crack tip, beam rotation, and the viscoelastic response of the material. This analysis showed that application of a constant bending moment to the specimen rather than a constant load provides a test in which the strain energy release rate,G, is independent of crack length. Other advantages of this test configuration are that corrections for shear or beam rotation effects are not necessary. Results of this test on both glass and ceramics are reported.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

a :

crack length

A :

cross-sectional area of beam

b :

total thickness of specimen

d :

deflection of loading arm

E :

elastic modulus of material

E 1 :

dynamic modulus

E 2 :

transient response modulus

G :

shear modulus of material

G :

strain energy release rate

G vE :

strain energy release rate of viscoelastic material

h :

half height of specimen

I :

moment of inertia of cantilever beam =bh /12

k :

modulus of elastic foundation

K :

stress intensity factor

L :

distance from point of load application to fulcrum of loading arm

L′ :

distance from point at which arm deflection is measured to fulcrum

M :

applied bending moment

P :

force applied to beam

r :

length of plastic zone

t :

thickness of specimen at groove

T :

force applied to loading arm

u :

displacement of beam

V :

crack velocity

w :

half height of groove

W :

stored elastic energy

δ :

characteristic length of beam on elastic foundation

λ :

reciprocal of the characteristic length of beam

θ :

rotation of beam

X :

viscoelastic creep compliance function

ψ :

time

Δ:

inherent opening distance as defined by Wnuk [10]

σy :

yield strength of material

ν :

Poisson's ratio

References

  1. E. J. Ripling, S. Mostovoy andR. L. Patrick,Mat. Res. and Stand. 4 (1964) 129.

    Google Scholar 

  2. P. P. Gillis andJ. J. Gilman,J. Appl. Phys. 35 (1961) 647.

    Google Scholar 

  3. S. M. Wiederhorn, A. M. Shorb, andR. L. Moses,ibid 39 (1968) 1569.

    Google Scholar 

  4. J. O. Outwater andM. C. Murphy, Final Report Contract No. DAAA 21-67-C-0041 (1970).

  5. J. A. Kies andA. B. J. Clark, Proceedings of the Second International Conference on Fracture; Brighton, England, Paper 41 (1969).

  6. A. G. Evans,J. Mater. Sci. 7 (1972) 1137.

    Google Scholar 

  7. E. J. Ripling, S. Mostovoy, andP. B. Crosely. J. Mats. 2 (1967) 661.

    Google Scholar 

  8. S. M. Wiederhorn,J. Amer. Ceram. Soc. 50 (1967) 407.

    Google Scholar 

  9. M. Hetenyi “Beams on Elastic Foundation” (University of Michigan Press, Ann Arbor, Michigan, 1946) p. 24.

    Google Scholar 

  10. M. P. Wnuk, Final Report, Contract N00014-70-C-0077 (1970).

Download references

Author information

Authors and Affiliations

  1. Naval Research Laboratory, Washington DC, USA

    S. W. Freiman, D. R. Mulville & P. W. Mast

Authors
  1. S. W. Freiman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. R. Mulville
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. W. Mast
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Freiman, S.W., Mulville, D.R. & Mast, P.W. Crack propagation studies in brittle materials. J Mater Sci 8, 1527–1533 (1973). https://doi.org/10.1007/BF00754886

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00754886

Keywords

Search

Navigation