Skip to main content
SpringerLink
Log in

Stresses near a crack in a rubber sheet

Maximal tensile stress on the crack axis is shown to be expressible in a form which is similar to that derived from classical elasticity theory

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The principal stresses in the vicinity of the crack tip in a rubber sheet have been determined experimentally by measuring the strain field with the aid of an imprinted grid work and calculating the stresses by assuming neo-Hookean material behavior. The principal stresses in the crack-tip vicinity are presented graphically. A correlation between the measured maximum tensile stress on the crack axis and that obtained from infinitesimal-elasticity theory is established. Information is given which provides bounds on the loading and deformation within which a large-deformation elastic analysis is valid before geometric deformations due to tearing must be considered.

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

  1. Andrews, E. H., “Stresses at a Crack in an Elastomer,”Proc. Phys. Soc.,77,483 (1961).

    Article  Google Scholar 

  2. Green, A. E., andZerna, W., “Theoretical Elasticity,”Clarendon Press, Oxford (1960).

    Google Scholar 

  3. Milne, W. E., “Numerical Calculus,”Princeton University Press, Princeton, N. J. (1949).

    Google Scholar 

  4. Neuber, H., “Kerbspannungslehre,”Springer-Verlag, Berlin (1937).

    Google Scholar 

  5. Williams, M. L., “On the Stress Distribution at the Base of a Stationary Crack,”J. A. M.,24 (2),109–114 (March 1957).

    MATH  Google Scholar 

  6. Knauss, W. G., “Stresses in an Infinite Strip Containing a Semi-Infinite Crack,”J. A. M.,33 (3),356–362 (June 1966).See also discussion in J. A. M.,34 (1), 248 (March 1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. California Institute of Technology, Pasadena, Calif

    Wolfgang G. Knauss (Assistant Professor of Aeronautics)

Authors
  1. Wolfgang G. Knauss
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was supported by the National Aeronautics and Space Administration, Research Grant NsG-172-60-GALCIT 120.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knauss, W.G. Stresses near a crack in a rubber sheet. Experimental Mechanics 8, 177–181 (1968). https://doi.org/10.1007/BF02326345

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02326345

Keywords

Search

Navigation