Skip to main content
SpringerLink
Log in

Ductile fracture of two-dimensional cellular structures – Dedicated to Prof. Dr.-Ing. D. Gross on the occasion of his 60th birthday

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

Abstract

Crack growth initiation and subsequent resistance to propagation are explored numerically for regular and irregular hexagonal honeycomb structures made from ductile cell walls. The elasto-plastic response of the cell walls is described by a bilinear uniaxial stress-strain law, with fracture of the cell walls characterised by the fracture energy per unit area. Estimates for the macroscopic toughness and the associated plastic zone shape are derived analytically on the basis of simple considerations. Crack propagation is simulated numerically by fracturing elements within a finite element model and K-resistance curves are calculated under the assumption of small-scale yielding. The dependence of the crack growth behaviour upon the cell wall material parameters and geometric imperfections of the structure is investigated.

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

References

  • Ashby, M., Evans, A., Fleck, N., Gibson, L., Hutchinson, J., and Wadley, N. (2000). Metal Foams – a Design Guide. Butterworth, Heinemann, Boston, USA.

    Google Scholar 

  • Chen, C., Lu, T.J., and Fleck, N.A. (1999). Effect of imperfections on the yielding of two-dimensionals foams. Journal of the Mechanics and Physics of Solids 47, 2235–2272.

    Google Scholar 

  • Chen, J.Y. and Huang, J.S. (1998). Fracture analysis of cellular materials: a strain gradient model. Journal of the Mechanics and Physics of Solids 46, 789–828.

    Google Scholar 

  • Choi, J.B. and Lakes, R.S. (1996). Fracture toughness of re-entrant foam materials with a negative Poisson's ratio: experiment and analysis. International Journal of Fracture 80, 73–83.

    Google Scholar 

  • Deshpande, V.S. and Fleck, N.A. (2000). Isotropic constitutive models for metallic foams. Journal of the Mechanics and Physics of Solids 48, 1253–1283.

    Google Scholar 

  • Gibson, L.J. and Ashby, M.F. (1998). Cellular Solids. Pergamon Press, London.

    Google Scholar 

  • Hallström, S. and Grenestedt, J. (1997). Mixed mode fracture of cracks and wedge shaped notches in expanded PVC foam. International Journal of Fracture 88, 343–358.

    Google Scholar 

  • Huang, J.S. and Gibson, L.J. (1991a). Fracture toughness of brittle foams. Acta Metall. Mater. 39, 1627–1636.

    Google Scholar 

  • Huang, J.S. and Gibson, L.J. (1991b). Fracture toughness of brittle honeycombs. Acta Metall. Mater. 39, 1617–1626.

    Google Scholar 

  • Miller, R. (2000). A continuum plasticity model of the constitutive and indentation behavior of foamed metals. International Journal of Mechanics Sciences 42, 729–754.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mechanik, Technische Universität Darmstadt, D-64289, Darmstadt, Germany

    I. Schmidt

  2. Engineering Department, Centre for Micromechanics, Cambridge University, Trumpington Street, Cambridge, CB2 1PZ, U.K.

    N.A. Fleck

Authors
  1. I. Schmidt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N.A. Fleck
    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

Schmidt, I., Fleck, N. Ductile fracture of two-dimensional cellular structures – Dedicated to Prof. Dr.-Ing. D. Gross on the occasion of his 60th birthday. International Journal of Fracture 111, 327–342 (2001). https://doi.org/10.1023/A:1012248030212

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012248030212

Search

Navigation