Skip to main content
Log in

Application of viscoelastic fracture criteria to progressive crack propagation in polymer matrix composites

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

Abstract

With the view of comparing local and global viscoelastic fracture criteria, an extension of Christensen's criterion to composite materials with stiff elastic fibers is proposed. Several versions of this criterion are compared with Schapery's local approach of the same phenomenon. The asymptotic version of Christensen's criterion for rapid crack propagation is found suitable for the material investigated, at room temperature. Dissipation in the specimen has two main sources: the undamaged material on one hand, and the damaged material inside the `failure zone' close to the crack tip on the other. The respective roles of these two kinds of dissipation are assessed.

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

References

  • Aliyu, A.A. and Daniel, I.M (1985). Effects of strain rate on delamination fracture toughness of graphite/epoxy. Delamination and Debonding of Materials (Edited by W.S. Johnson), ASTM STP 876, 336-348.

  • Brockway, G.S. and Schapery, R.A. (1978). Some viscoelastic crack growth relations for orthotropic and prestrained media. Engineering Fracture Mechanics 10, 453-458.

    Google Scholar 

  • Chaoufi, J., Gamby, D. and Benicchio, D. (1995). Asymptotic stress field in a cracked orthotropic strip. Composite Structures 32, 467-475.

    Google Scholar 

  • Christensen, R.M. (1979). A rate-dependent criterion for crack growth. International Journal of Fracture 15(1), 3-21.

    Google Scholar 

  • Christensen, R.M. and Wu, E.M. (1981). A theory of crack growth in viscoelastic materials. Engineering Fracture Mechanics 14, 215-225.

    Google Scholar 

  • Frassine, R. and Pavan, A. (1990). An application of viscoelastic fracture criteria to steady crack propagation in a polymeric material under fixed deformation. International Journal of Fracture 43, 303-317.

    Google Scholar 

  • Frassine, R., Rink, M. and Pavan, A. (1993). Viscoelastic effects on intralaminar fracture toughness of epoxy/carbon-fibre laminates. Journal of Composite Materials 27(9), 921-933.

    Google Scholar 

  • Gamby, D. and Delauménie, V. (1997). Measurement and modelling of crack propagation velocity in a viscoelastic matrix composite. Composites Part A 28A, 875-881.

    Google Scholar 

  • Georgiadis, H.G. and Papadopoulos, G.A. (1987). Determination of SIF in a cracked plane orthotropic strip by the Wiener-Hopf technique. International Journal of Fracture 34, 57-64.

    Google Scholar 

  • Georgiadis, H.G. and Papadopoulos, G.A. (1988). Cracked orthotropic strip with clamped boundaries. Journal of Applied Mathematics and Physics (ZAMP) 39, 573-578.

    Google Scholar 

  • Knauss, W.G. (1974). On the steady propagation of a crack in a viscoelastic sheet: Experiments and analysis. Battelle Colloquium on Deformation and Fracture of High Polymers (Kronberg, Germany, Sept. 1972), (Edited by H.H. Kausch et al.), Plenum Press, New-York, 501-541.

    Google Scholar 

  • Kousiounelos, P.N. and Williams, J.H. Jr. (1982). Dynamic fracture of unidirectional graphite fiber composite strips. International Journal of Fracture 20, 47-63.

    Google Scholar 

  • Kusaka, T., Hojo, M., Mai, Y.W., Kurokawa, T., Nojima T. and Ochiai S. (1998). Rate dependence of mode I fracture behaviour in carbon-fiber/epoxy composite laminates. Composites Science & Technology 58(3–4) 591-602.

    Google Scholar 

  • McCartney, L.N. (1977). Crack propagation, resulting from a monotonic increasing applied stress, in a linear viscoelastic material. International Journal of Fracture 13(5), 641-654.

    Google Scholar 

  • McCartney, L.N. (1979). Crack growth laws for a variety of viscoelastic solids using energy and COD fracture criteria. International Journal of Fracture 15(1), 31-40.

    Google Scholar 

  • Moore, R.H. and Dillard, D.A. (1990). Time-dependent matrix cracking in cross-ply laminates. Composites Science and Technology 39, 1-12.

    Google Scholar 

  • Mueller, H.K. and Knauss, W.G. (1971). Crack propagation in a linearly viscoelastic strip. Journal of Applied Mechanics 38, 483-488.

    Google Scholar 

  • Nikitin, L.V. (1984). Application of the Griffith's approach to analysis of rupture in viscoelastic bodies. International Journal of Fracture 24, 149-157.

    Google Scholar 

  • Nilsson, F. (1974). Crack propagation experiments on strip specimens. Engineering Fracture Mechanics 6, 397-403.

    Google Scholar 

  • Nojima, T. and Kusaka, T. (1998). Fracture behaviours of CFRP laminates in mode I interlaminar fracture toughness testing. JSME International Journal, Series A 41(2), 225-230.

    Google Scholar 

  • Paxson, T.L. and Lucas, R.A. (1973). An experimental investigation of the velocity characteristics of a fixed boundary fracture model. Dynamic Crack Propagation (Edited by G.C. Sih), Noordhoff (Leyden, Nederland), 415-426.

    Google Scholar 

  • Raghavan, J. and Meshii, M. (1996). Time-dependent damage in carbon fibre-reinforced polymer composites. Composites Part A 27A, 1223-1227.

    Google Scholar 

  • Schapery, R.A. (1975). A theory of crack initiation and growth in viscoelastic media — Parts I, II, III. International Journal of Fracture 11, 141-159, 369–388, 549–562.

    Google Scholar 

  • Sih, G.C., Paris, P.C. and Irwin, G.R. (1965). On cracks in rectilinearly anisotropic bodies. International Journal of Fracture Mechanics 1(3), 189-203.

    Google Scholar 

  • Smiley, A.J. and Pipes, R.B. (1987). Rate effects on mode I interlaminar fracture toughness in composite materials. Journal of Composite Materials 21(July) 670-687.

    Google Scholar 

  • Vinet, A., Gamby, D., Lafarie-Frenot, M.C. and Guedra-Degeorges, D. (1997). Prediction of long-term behaviour of graphite-BMI composites. Influence and assessment of residual stresses. Duracosys '97, Third International Conference on Progress in Durability Analysis of Composite Systems, Blacksburg, Virginia (USA), 14–17 September 1997.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gamby, D., Chaoufi, J. Application of viscoelastic fracture criteria to progressive crack propagation in polymer matrix composites. International Journal of Fracture 100, 379–399 (2000). https://doi.org/10.1023/A:1018764204953

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018764204953

Navigation