Advertisement

Dynamic Crack Stability

  • Olga Obrezanova
  • Alexander B. Movchan
  • John R. Willis
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 113)

Abstract

This work is a study of the stability of a straight dynamically propagating crack to small perturbation of its path. Obrezanova et al. in [1] investigated stability of a crack propagating through an infinite elastic medium loaded by remote body forces following the crack as it advances. Here we extend the study to the case when the crack faces are subjected to given tractions in addition to a remote loading. We present formulae for the general case and consider a particular example when the crack is loaded by point force tractions on the crack faces.

Keywords

Dynamic stress intensity factors asymptotic analysis crack stability 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Obrezanova, O and Movchan, A B and Willis, J R (2002) Dynamic stability of a propagating crack, J. Mech. Phys. Solids, 50, 2637–2668.CrossRefMathSciNetGoogle Scholar
  2. [2]
    Obrezanova, O and Movchan, A B and Willis, J R (2002) Stability of an advancing crack to small perturbation of its path, J. Mech. Phys. Solids 50, 57–80.CrossRefMathSciNetGoogle Scholar
  3. [3]
    Willis, J R and Movchan, A B (1995) Dynamic weight functions for a moving crack. I. Mode I loading, J. Mech. Phys. Solids 43, 319–341.CrossRefMathSciNetGoogle Scholar
  4. [4]
    Willis, J R and Movchan, A B (1997) Three-dimensional dynamic perturbation of a propagating crack, J. Mech. Phys. Solids 45, 591–610.CrossRefMathSciNetGoogle Scholar
  5. [5]
    Craggs, J W (1960) On the propagation of a crack in an elastic-brittle material, J. Mech. Phys. Solids 8, 66–75.CrossRefzbMATHMathSciNetGoogle Scholar
  6. [6]
    Freund, L B (1990) Dynamic Fracture Mechanics. Cambridge: Cambridge University Press.Google Scholar

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Olga Obrezanova
    • 1
  • Alexander B. Movchan
    • 2
  • John R. Willis
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK
  2. 2.Department of Mathematical SciencesUniversity of LiverpoolLiverpoolUK

Personalised recommendations