Skip to main content
Log in

Size and loading mode effects in fracture toughness testing of polymers

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

Abstract

Experimental work is described which examines the applicability of plane-strain fracture toughness testing techniques to several polymers. The fracture behaviour of five polymers was studied using pre-notched test specimens and was characterized by the linear elastic fracture parameter,K c. Two test geometries and loading modes were used; SEN tension and three-point bending have been investigated by varying both thickness and width. It has been established that the ASTM criterion for plane-strain conditions ofB>2.5 (K c1/σ y)2 is sufficient for SEN bending but not for tension where an extrapolation method is needed. For width effects the BCS model was shown to describe the observations and this with a limiting nominal stress analysis gave quite close agreement with the ASTM criterionW>5 (K c1/σ y)2. This value was shown to be a good estimate of the practical minimum width. There is some evidence that PP, which gives substantial crazing and whitening, can give satisfactory values at sizes about half these limiting values.

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.

Similar content being viewed by others

Abbreviations

a :

crack length

B :

specimen thickness

B min :

minimum specimen thickness

G c :

strain energy release rate

ė :

strain rate

K :

stress intensity factor

K c :

critical stress intensity factor

K c1 :

plane-strain fracture toughness

K c2 :

plane-stress fracture toughness

M :

bending moment

P :

fracture load

r p :

plastic zone size

r p2 :

plastic zone size in plane-stress

S :

span

T :

temperature

W :

specimen width

W min :

minimum specimen width

\(\dot x\) :

cross-head speed

y :

finite width correction factor

σ :

stress

σ c :

fracture stress

σ N :

net section stress

σ pc :

gross stress at plastic collapse

σ y :

yield stress

References

  1. J. G. Williams,Phil. Trans. Roy. Soc. London A 59 (1981) 299.

    Google Scholar 

  2. Idem, Polymer Eng. Sci. 17 (1977) 144.

    Google Scholar 

  3. G. P. Marshall, J. G. Williams andC. E. Turner,J. Mater. Sci. 8 (1973) 949.

    Google Scholar 

  4. W. F. Brown andJ. Srawley, ASTM STP 410 (1966).

  5. S. Hashemi andJ. G. Williams,J. Mater. Sci., in press.

  6. M. K. V. Chan andJ. G. Williams,Polymer Eng. Sci. 21 (1981) 1019.

    Google Scholar 

  7. P. L. Fernando andJ. G. Williams,ibid. 20 (1980) 215.

    Google Scholar 

  8. P. Prentice andS. Hashemi,J. Mater. Sci. 19 (1984) 518.

    Google Scholar 

  9. G. P. Marshall, L. H. Coutts andJ. G. Williams,ibid. 9 (1974) 1409.

    Google Scholar 

  10. M. Parvin andJ. G. Williams,ibid. 10 (1975) 1883.

    Google Scholar 

  11. B. A. Bilby, A. H. Cottrell andK. H. Swinden,Proc. Roy. Soc. London A 272 (1963) 304.

    Google Scholar 

  12. G. G. Chell, ASTM STP 668 (1979) 581.

    Google Scholar 

  13. R. P. Harrison andI. Milne, in “Fracture Mechanics in Engineering Practice”, edited by P. Stanley (Applied Science Publishers, London, 1967) p. 69.

    Google Scholar 

  14. A. P. Green andB. B. Hundy,J. Mech. Phys. Solids 4 (1956) 128.

    Google Scholar 

  15. ASTM Special Committee on Fracture Testing of High Strength Metallic Materials,Mat. Res. Stand. 4 (1956) 128.

    Google Scholar 

  16. G. G. Chell, “Developments in Fracture Mechanics-1” (Applied Science Publishers, London, 1979) p. 76.

    Google Scholar 

  17. J. G. Williams, “Fracture Mechanics of Polymers” (Ellis Horwood, Chichester, 1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hashemi, S., Williams, J.G. Size and loading mode effects in fracture toughness testing of polymers. J Mater Sci 19, 3746–3759 (1984). https://doi.org/10.1007/PL00020112

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00020112

Keywords

Navigation