Skip to main content
Log in

Bending of an axisymmetrically loaded thick circular plate on a granular half-space

Biegung einer axialsymmetrisch belasteten dicken Kreisplatte auf granularem Halbraum

  • Originals
  • Published:
Ingenieur-Archiv Aims and scope Submit manuscript

Summary

A numerical procedure is presented for the determination of the contact pressure, bending moment distributions and the displacements of an axisymmetrically loaded thick circular plate which rests without friction on a granular or on an isotropic elastic half-space. Some numerical results are presented which show the effect of the various parameters on the mechanical behaviour of the plate.

Übersicht

Ein numerisches Verfahren zur Berechnung des Kontaktdruckes, der Biegemomentverteilung und der Verschiebungen einer axialsymmetrisch belasteten, dicken Kreisplatte, die reibungsfrei auf einem granularen oder isotropen Halbraum aufliegt, wird dargestellt. Der Einfluß der verschiedenen Parameter auf das mechanische Verhalten der Kreisplatte wird durch numerische Ergebnisse aufgezeigt.

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. Selvadurai, A. P. S.: A contact problem for a Reissner plate and an isotropic elastic halfspace. J. Mec. Theor. Appl. 3 (1984) 181–196

    Google Scholar 

  2. Selvadurai, A. P. S.: Elastic analysis of soil-foundation interaction (Developments in Geotechnical Engineering, vol. 17). Amsterdam: Elsevier 1979

    Google Scholar 

  3. Popov, G. Ya.: Plates on a linearly elastic foundation (a survey). Prikl. Mekh. 8 (3) (1971) 3–17

    Google Scholar 

  4. Poulos, H. G.; Davis, E. H.: Elastic solutions for soil and rock mechanics. New York: Wiley 1974

    Google Scholar 

  5. Hooper, J. A.: Foundation interaction analysis. In: Scott, R. C. (ed.), Developments in soil mechanics 1, pp. 149–213. London: Applied Science Publ. 1978

    Google Scholar 

  6. Gladwell, G. M. L.: Contact problems in the classical theory of elasticity. Alphen aan den Rijn: Sijthoff and Noordhoff 1980

    Google Scholar 

  7. Reissner, E.: Effect of transverse-shear deformation on the bending of elastic plates. J. Appl. Mech., Trans. ASME 67 (1945) A 69-A 77

    Google Scholar 

  8. Reissner, E.: On Bending of elastic plates. Q. Appl. Math. 5 (1947) 55–68

    Google Scholar 

  9. Mindlin, R. D.: Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. Trans. ASME, J. Appl. Mech. 18 (1951) 31–38

    Google Scholar 

  10. Donnell, L. H.: A theory for thick plates. In: Proc. 2nd U.S. National Congress of Applied Mechanics, pp. 369–373. ASME 1954

  11. Weiskopf, W. H.: Stresses in soils under a foundation. J. Franklin Inst. 239 (1945) 445–465

    Google Scholar 

  12. Misra, B.; Sen, B. R.: Stresses and displacement in granular materials due to surface load. Int. J. Eng. Sci. 13 (1975) 743–761

    Google Scholar 

  13. Misra, B.; Sen, B. R.: Surface loads on granular material underlain by a rough rigid base. Int. J. Eng. Sci. 14 (1976) 319–334

    Google Scholar 

  14. Ejike, U. B. C. O.: Indentation of a granular half-space. Letters Appl. Eng. Sci. 5 (1977) 37–49

    Google Scholar 

  15. Hooper, J. A.: Parabolic adhesive loading of a flexible raft foundation. Geotechnique 3 (1976) 511–525

    Google Scholar 

  16. Mastrojannis, E. N.; Keer, L. M.; Mura, T.: Axisymmetrically loaded thin circular plate in adhesive contact with an elastic half-space; Comput. Mech. 3 (1988) 283–298

    Google Scholar 

  17. Lekhnitskii, S. G.: Theory of elasticity of an anisotropic elastic body. Moscow: Mir Publisher 1981

    Google Scholar 

  18. Dundurs, J.; Lee, M. S.: Stress concentration at a sharp edge in contact problems. J. Elasticity 2 (1972) 109–112

    Google Scholar 

  19. Adams, G. G.; Bogy, D. B.: The plane solution for the elastic contact problem of a semi-infinite strip and half-plane. ASME J. Appl. Mech. 43 (1976) 603–607

    Google Scholar 

  20. Gecit, M. G.: The axisymmetric double contact problem for a frictionless elastic layer indented by an elastic cylinder. Int. J. Eng. Sci. 24 (1986) 1571–1584

    Google Scholar 

  21. Sneddon, I. N.: Fourier transforms. New York: McGraw-Hill 1951

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mastrojannis, E.N. Bending of an axisymmetrically loaded thick circular plate on a granular half-space. Ing. arch 59, 43–53 (1989). https://doi.org/10.1007/BF00536630

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00536630

Keywords

Navigation