Skip to main content
SpringerLink
Log in

Finite strains at the tip of a crack in a sheet of hyperelastic material: III. General bimaterial case

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

Abstract

In this last in a series of three papers, we summarize an asymptotic analysis of the near-tip stress and deformation fields for an interface crack between two sheets of Generalized Neo-Hookean materials. This investigation, which is consistent with the nonlinear elastostatic theory of plane stress, allows for an arbitrary choice, on both sides of the three parameters characterizing this class of hyperelastic materials. The first three terms of the approximation series are obtained, showing the existence of a non-oscillatory and contact-free solution to the interface crack problem. The analytical results are compared with a full-field solution obtained numerically using the finite element method.

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. P.H. Geubelle and W.G. Knauss, Finite strains at the tip of a crack in a sheet of hyperelastic material. II. Special bimaterial cases. Galcit SM Report 92–43, Claltech, 1992. J. Elasticity 35 (1994) 99–138.

    Google Scholar 

  2. J.K. Knowles and E. Sternberg, Large deformations near the tip of an interface crack between two Neo-Hookean sheets. J. Elasticity 13 (1983) 257–293.

    Google Scholar 

  3. J.M. Herrmann, An asymptotic analysis of finite deformation near the tip of an interface crack. J. Elasticity 21 (1989) 227–269.

    Google Scholar 

  4. P.H. Geubelle and W.G. Knauss, Finite strains at the tip of a crack in a sheet of hyperelastic material. I. Homogeneous case. Galcit SM Report 92–42, Caltech, 1992. J. Elasticity 35 (1994) 61–98.

    Google Scholar 

  5. J.K. Knowles and E. Sternberg, An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack. J. Elasticity 3 (1973) 67–107.

    Google Scholar 

  6. J.K. Knowles and E. Sternberg, Finite-deformation analysis of the elastostatic field near the tip of a crack: reconsideration and higher-order results. J. Elasticity 4 (1974) 201–233.

    Google Scholar 

Download references

Author information

Author notes

  1. Philippe H. Geubelle

    Present address: Division of Applied Sciences, Harvard University, 02138, Cambridge, MA, USA

Authors and Affiliations

  1. California Institute of Technology, 91125, Pasadena, CA, USA

    Philippe H. Geubelle & Wolfgang G. Knauss

Authors
  1. Philippe H. Geubelle
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wolfgang G. Knauss
    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

Geubelle, P.H., Knauss, W.G. Finite strains at the tip of a crack in a sheet of hyperelastic material: III. General bimaterial case. J Elasticity 35, 139–174 (1994). https://doi.org/10.1007/BF00115541

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00115541

Keywords

Search

Navigation