Skip to main content
Log in

Longitudinal shear problems of collinear rigid line inclusions in anisotropic materials

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Longitudinal shear problems of collinear rigid line inclusions (sometimes called hard crack or inverse crack problems) in anisotropic materials are dealt with. By using the complex variable method, we present the formulation of the general problem and the closed form solutions to some problems of practical importance, The stress distribution in the immediate vicinity of the rigid line end is examined. The corresponding formulation and solutions for isotropic materials can be arrived at from the special cases of those in the present paper, some of which are in agreement with the existing results.

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. Jiang Chi-ping, Zou Zhen-zhu, Wang Duo and Liu You-wen, A discussion about a class of stress intensity factors and its verification,Int. J. Fracture,49 (1991), 141–157.

    Google Scholar 

  2. Li, Q. Q. and T. C. T. Ting, Line inclusions in anisotropic elastic solids,J. Appl. Mech.,56 (1989), 556–563.

    MATH  Google Scholar 

  3. Hao, T. H. and Y. C. Wu, Elastic plane problem of collinear periodical rigid lines,Engng. Fracture Mech.,33 (1989), 979–981.

    Article  Google Scholar 

  4. Markenscoff, X. and J. Dundurs, Weight functions for rigid line inclusions,Proc. 7th Int. Conf. on Fracture, Houston TX,1 (1989), 37–39.

    Google Scholar 

  5. Jiang Chi-ping and Liu Chun-tu, Stress distribution around a rigid line in dissimilar media,Engng. Fracture Mech.,42 (1992), 27–32.

    Article  Google Scholar 

  6. Jiang Chi-ping, The plane problem of collinear rigid lines under arbitrary load,Engng. Fracture Mech.,39 (1991), 299–308.

    Article  Google Scholar 

  7. Wang, Z. Y., H. T. Zhang and Y. T. Chou, Stress singularity at the tip of a rigid line inhomogeneity under antiplane loading,J. Appl. Mech.,53 (1986), 450–461.

    Article  Google Scholar 

  8. Shi, G. C. and H. Liebowitz, Mathematical theories of brittle fracture,Fracture,Vol. II, Ed. by H. Liebowitz, Academic Press, New York (1968).

    Google Scholar 

  9. Fan Da-jun,The Mathematical Theory of Elasticity, New Era Publishing House, China (1983) (in Chinese)

    Google Scholar 

  10. Muskhelishvili, N. I.,Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff Limited, Groningen, the Netherlands (1953).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Fan Da-jun

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chi-ping, J. Longitudinal shear problems of collinear rigid line inclusions in anisotropic materials. Appl Math Mech 15, 155–162 (1994). https://doi.org/10.1007/BF02451050

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02451050

Key words

Navigation