Skip to main content
Log in

The theory of static decay in computational mechanics

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

Abstract

In this paper, a new mathematical form, matrix continued fraction (MCF) is introduced to describe the decay of effects of an equilibrant system of forces acting on a sphere of an elastic body. By this way, the famous Saint-Venant's principle is proved often but not always valid in computational mechanics.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Fung, Y.C.,Foundation of Solid Mechanics, Prentice-Hall, Inc., New Jersey (1965), 300–309.

    Google Scholar 

  2. Horgan, C.O. and J. K. Knowles, Recent development concerning Saint-Venant's principle,Advances in Applied Mechanics,23, Academic Press Inc. (1983), 179–269.

  3. Tachibana, E., Two theorems on Saint-Venant's principle in discrete structural model, Jour. of Str. and Constr. Eng. (Transactions of AIJ), 351. (May, 1985), 55–64.

    Google Scholar 

  4. Wu, J.X. and H. Tsutsumi, A paradox on Saint-Venant's principle in discrete structure, Jour. of Str. and Constr. Eng. (Transactions of AIJ), 374. (April 1987), 57–62.

    Google Scholar 

  5. Wu, J. X. and H. Tsutsumi, The similarity of deformation of the links of lons chain model shape structure,Memoris of Faculty of Engineering Miyazaki University, 33 (June 1987).

  6. Przemieniecki J. S.,Theory of Matrix Structural Analysis, McGraw-Hill Book Company (1968).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Chen Zhi-da

Deeply thank Prof. Liang Wu-tao, Chen Zhi-da, Zheng Zhao-bei, Wu Ji-ke, Wang Min-zhong, Wang Lei, Hua An-zeng, Wang Liang-guo, Chen Zi-yin, Xu Zhi-lun, et al., who have helped me work in this aspect.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jian-xun, W. The theory of static decay in computational mechanics. Appl Math Mech 12, 345–354 (1991). https://doi.org/10.1007/BF02020397

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02020397

Key words

Navigation