Skip to main content
Log in

Elliptic cavity in a three-dimensional anisotropic body with inclined strata deformed by line loads and dislocations

  • Originals
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Summary

Analytical solutions are proposed for the stress and displacement fields in a quasi three-dimensional elastic anisotropic body containing an elliptic cavity or rigid inclusion. The directions of the principal elastic axes are allowed to be inclined arbitrarily with respect to the axes of the elliptic cavity. As an application, expressions for the stress intensity factors are formulated when the cavity reduces to a colinear crack.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Lekhnitskii, S. G.: Theory of elasticity of an anisotropic elastic body. San Francisco: Holden-Day 1963

    Google Scholar 

  2. Timoshenko, S. P.;Goodier, J. N.: Theory of elasticity. New York: McGraw-Hill 1970

    Google Scholar 

  3. Cherepanov, G. P.: Mechanics of brittle fracture. New York: McGraw-Hill 1979

    Google Scholar 

  4. Hirashima, K.;Kawakubo, S.: Analytical solutions for in-plane problems with elliptic cavity or rigid inclusion. JSME A59 (1993) 808–814

    Google Scholar 

  5. Kawakubo, S.;Hirashima, K.: Analytical solutions for anisotropic out-of-plane problems containing elliptic cavity or inclusion. JSME A61 (1995) 760–768

    Google Scholar 

  6. Paris, P. C.;Sih, G. C.: Stress analysis of crack. ASTM STP 391 (1965) 30–81

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jedidi, A., Hirashima, K. & Mura, T. Elliptic cavity in a three-dimensional anisotropic body with inclined strata deformed by line loads and dislocations. Arch. Appl. Mech. 66, 507–522 (1996). https://doi.org/10.1007/BF00808141

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00808141

Key words

Navigation