Advertisement

Applied Mathematics and Mechanics

, Volume 17, Issue 4, pp 309–318 | Cite as

Point force solution for a transversely isotropic elastic layer

  • Ding Haojiang
  • Liang Jian
  • Wang Yun
Article

Abstract

By introduction of transmitting matrices' technique for layered structure, mixed equations with stresses and displacements are derived from the basic equations of transversely isotropic elasticity. Then, using Fourier transformation and the general solutions in Zhou et al.[7], the point force solution for transversely isotropic elastic layer is obtained and it can be degenerated to the corresponding solution of isotropic medium. In this paper, all equations are derived by the use of computer algebra software.

Key words

transversely isotropy elastic layer point force solution Fourier transformation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    HuHaichang, Equilibrium of transversely isotropic elasticity with body forces, Acta Physica Sinica, 11 (1955), 219–230. (in Chinese)Google Scholar
  2. [2]
    Y. C.Pan and T. W.Chow, Point force solution for an infinite transversely isotropic solids, Journal of Applied Mechanics, 43 (1976), 608–612.Google Scholar
  3. [3]
    Y. C.Pan and T. W.Chow, Green's function solutions for semi-infinite transversely isotropic solids, International Journal of Engineering Science, 17 (1979), 545–551.Google Scholar
  4. [4]
    Y. C.Pan and T. W.Chow, Green's functions for two-phase transversely isotropic materials, Journal of Applied Mechanics, 46 (1979), 551–555.Google Scholar
  5. [5]
    DingHaojiang and XuXing, The equilibrium of transversely isotropic elastic layers, Journal of Zhejiang University, 16, 2 (1982), 141–154. (in Chinese)Google Scholar
  6. [6]
    F. G.Benitez and A. J.Rosakis, Three-dimensional elastostatics of a layer and layered medium, Journal of Elasticity, 18, 1 (1987), 3–50.Google Scholar
  7. [7]
    ZhouDaoqing, LiangJiang and DingHaojiang, General solution of transversely isotropic elastic problem, Journal of Zhejiang University, 28, 3 (1994), 273–282 (in Chinese)Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Ding Haojiang
    • 1
  • Liang Jian
    • 1
  • Wang Yun
    • 2
  1. 1.Department of MechanicsZhejiang UniversityHangzhouP. R. China
  2. 2.Department of Engineering MechanicsQinghua UniversityBeijingP. R. China

Personalised recommendations