Summary
An analytical solution is given for the axisymmetric indentation problem of a half-space loaded by internal forces. Closed form results are presented for an interior point force and a flat-ended indenter. The interaction between internal and external loadings is discussed using numerical results and graphs.
Similar content being viewed by others
References
Hobst, L., Zajic, J.: Anchoring in rock. Amsterdam: Elsevier. 1977.
Jaeger, J. C., Cook, N. G. W.: Fundamentals of rock mechanics. London: Methuen. 1969.
Zienkiewicz, O. C., Stagg, K. G.: Cable method of in-situ rock testing. Int. J. Rock Mech. Min. Sci.4, 273–300 (1967).
Selvadurai, A. P. S., Nicolas, T. J.: A theoretical assessment of the screw plate test. Third Int. Conf. on Num. Meth. in Geomechanics, Aachen, 2–7 April 1979, 1245 to 1252.
Dahan, M., Predeleanu, M.: Solutions fondamentales dans la théorie de l'élasticité aéolotrope pour un milieu semi-infini. C. R. Acad. Sci. Paris289 147–150 (1979).
Sneddon, I. N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Engng. Sci.3, 47–57 (1965).
Dahan, M.: Poinçons axisymétriques rigides sur un massif élastique semi-infini transversalement isotrope. J. Mécanique Appliquée3, 373–386 (1979).
Selvadurai, A. P. S.: The interaction between a rigid circular punch on an elastic half-space and a Mindlin force. Mech. Res. Comm.5, 57–64 (1978).
Hunter, S. C., Gamblen, D.: The theory of a rigid disc ground anchor buried in an elastic soil either with adhesion or without adhesion. J. Mech. Phys. Solids22, 371–399 (1974).
Hanna, T. H., Sparks, R., Yilmaz, M.: Anchor behavior in sand. J. Soils Mechs. Found. Div. ASCE98, 1187–1208 (1972).
Author information
Authors and Affiliations
Additional information
With 2 Figures
Rights and permissions
About this article
Cite this article
Dahan, M., Predeleanu, M. Interaction between internal loading and surface indentation for a transversely isotropic elastic half-space. Acta Mechanica 42, 253–262 (1982). https://doi.org/10.1007/BF01177196
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01177196