Abstract
The criterion for crack growth instability in an elastic-softening material that is subjected to displacement control loading conditions is examined. A theoretical analysis of the model of a solid containing two symmetrically situated deep cracks and with tensile loading of the remaining ligament, defines the criterion for crack growth instability. The criterion is expressed in terms of the material's softening characteristics and the solid's geometrical parameters. The analysis covers the complete spectrum of material behaviour from the case where the softening zone is very small to the case where instability does not occur until the softening zone traverses the ligament between the crack tips.
Similar content being viewed by others
References
B. S. Majumdar, A. R. Rosenfield and W. H. Duckworth, Engng Fract. Mech. 31 (1988) 683.
R. M. L. Foote, Y. W. Mai and B. Cotterell, J. Mech. Phys. Solids 34 (1986) 593.
E. Smith, Theor. Appl. Fract. Mech. 11 (1989) 59.
Idem, ibid. 11 (1989) 65.
Idem, Engng Fract. Mech., 37 (1990) 259.
Idem, Theor. Appl. Fract. Mech., 17 (1992) 83.
A. Carpinteri, J. Mech. Phys. Solids 37 (1989) 567.
Idem, J. Mater. Sci. 28 (1993).
D. S. Dugdale, J. Mech. Phys. Solids 8 (1960) 100.
B. A. Bilby, A. H. Cottrell and K. H. Swinden, Proc. Roy. Soc. A 272 (1963) 304.
E. Smith, Int. J. Fract. 23 (1983) 213.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Smith, E. Displacement control crack-growth instability in an elastic-softening material. Journal of Materials Science 28, 880–884 (1993). https://doi.org/10.1007/BF00400869
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF00400869