Skip to main content
Log in

Point force solution for a transversely isotropic elastic layer

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

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.

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. HuHaichang, Equilibrium of transversely isotropic elasticity with body forces, Acta Physica Sinica, 11 (1955), 219–230. (in Chinese)

    Google Scholar 

  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. 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. 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. DingHaojiang and XuXing, The equilibrium of transversely isotropic elastic layers, Journal of Zhejiang University, 16, 2 (1982), 141–154. (in Chinese)

    Google Scholar 

  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. ZhouDaoqing, LiangJiang and DingHaojiang, General solution of transversely isotropic elastic problem, Journal of Zhejiang University, 28, 3 (1994), 273–282 (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Haojiang, D., Jian, L. & Yun, W. Point force solution for a transversely isotropic elastic layer. Appl Math Mech 17, 309–318 (1996). https://doi.org/10.1007/BF00193794

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00193794

Key words

Navigation