Skip to main content
Log in

Stress effect decay estimates for anisotropic material in a semi-infinite strip

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

Abstract

In this paper, Saint-Venant's principle for anisotropic material in an end-loaded. semi-infinite elastic strip is established. Energy method is used to establish the lower bounds of the decay estimate of stress effect. An explicit estimate formula in terms of the elastic constants of the anisotropic materials is presented. Finally, a numerical example for an end-loaded, off-axis, graphite-epoxy strip is given to illustrate the 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. Miller K L, Horgan C O. End effects for plane deformations of an elastic anisotropic semi-infinite strip[J].Journal of Elasticity, 1995,38: 261–316

    Article  MATH  MathSciNet  Google Scholar 

  2. Lekhniskii S G.Theory of Elasticity of an Anisotropic Body [M]. Moscow: MIR Publishers, 1981.

    Google Scholar 

  3. Horgan C O, Knowles J K. Recent developments concerning Saint-Venant's principle[A]. In: J W Hutchinson and T Y Wu Eds,Advances in Applied Mechanics [M], Volume23, New York: Academic Press, 1983, 179–269

    Google Scholar 

  4. Jones R M.Mechanics of Composite Materials [M]. New York: Hemisphere Publish Co, 1975

    Google Scholar 

  5. Choi I, Horgan C O. Saint-Venant's principle and end effects in anisotropic elasticity[J].Journal of Applied Mechanics, 1977,44: 424–430

    MATH  Google Scholar 

  6. Horgan C O. Recent developments concerning Saint-Venant's principle: an update[J].Applied Mechanics Reviews 1989,42: 295–303

    Article  MathSciNet  Google Scholar 

  7. Craffer E C, Heise R M, Horgan C O, Simmonds J G. The eigenvalues for a self-equilibrated semi-infinite: anisotropic elastic strip[J].Journal of Applied Mechanics, 1993,60: 276–281

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Dai Shiqiang

Project supported by the Science and Technology Commission of Guangdong Province (960181)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chongxi, C., Changhao, L. Stress effect decay estimates for anisotropic material in a semi-infinite strip. Appl Math Mech 20, 300–308 (1999). https://doi.org/10.1007/BF02463856

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02463856

Key words

Navigation