Summary
The problem is considered of the indentation by a smooth rigid punch of a half-space composed of linear elastic material of hexagonal symmetry whose plane boundary is parallel to the basal planes. The case is considered in which the area of contact between the punch and the half-space is circular, the end of the punch with is in contact with the half-space having an arbitrary profile. An integral equation is formulated and solved for the boundary value of the normal displacement in the half-space, and an expression is derived for the distribution of pressure under the punch.
Similar content being viewed by others
References
L. M. Keer, Mixed boundary-value problems for an elastic half-space. Proc. Camb. Phil. Soc. 63 (1967) 1379–1386.
J. T. Guidera, The general non-symmetrical punch and crack problems. Ph.D. thesis, Simon Fraser University, 1975.
J. T. Guidera and R. W. Lardner, Penny-shaped cracks. J. Elasticity 5 (1975) 59–73.
R. W. Lardner and G. E. Tupholme, A note on arbitrarily loaded penny-shaped cracks in hexagonal crystals. J. Elasticity 5 (1976) 221–224.
G. E. Tupholme, Dislocation loops in hexagonal crystals. J. Mech. Phys. Solids 22 (1974) 309–321.
A. H. England, A punch problem for a transversely isotropic layer. Proc. Camb. Phil. Soc. 58 (1962) 539–547.
R. W. Lardner, Dislocation layers and boundary value problems of plane elasticity. Quart. J. Mech. Appl. Math. 25 (1972) 45–61.
R. de Wit, The continuum theory of stationary dislocations. Solid State Physics 10 (1960) 249–292.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Guidera, J.T., Lardner, R.W. & Tupholme, G.E. The indentation of a half-space of hexagonal elastic material by a circular punch of arbitrary end-profile. J Eng Math 12, 77–82 (1978). https://doi.org/10.1007/BF00042805
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00042805