The indentation modulus of elastically anisotropic materials for indenters of arbitrary shape

  title={The indentation modulus of elastically anisotropic materials for indenters of arbitrary shape},
  author={J. J. Vlassaka and M. Ciavarellab and J. R. Barberc and X. Wanga},
  • J. J. Vlassaka, M. Ciavarellab, +1 author X. Wanga
  • Published 2003
The contact of an indenter of arbitrary shape on an elastically anisotropic half space is considered. It is demonstrated in a theorem that the solution of the contact problem is the one that maximizes the load on the indenter for a given indentation depth. The theorem can be used to derive the best approximate solution in the Rayleigh–Ritz sense if the contact area is a priori assumed to have a certain shape. This approach is used to analyze the contact of a sphere and an axisymmetric cone on… CONTINUE READING

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Publications referenced by this paper.
Showing 1-9 of 9 references

New experimental techniques and analysis methods for the study of the mechanical properties of materials in small volumes

J. J. Vlassak
Ph.D. Dissertation, • 1994
View 7 Excerpts
Highly Influenced

Line force loadings on anisotropic half-spaces and wedges

D. M. Barnett, J. Lothe
smooth punch of arbitrary shape. Int. J. Mech. Sci • 1975
View 4 Excerpts
Highly Influenced

Determining the contact area in elastic-indentation problems

J. R. Barber
J. Strain Anal • 1974
View 6 Excerpts
Highly Influenced

Hertzian contact of anisotropic bodies

J. R. Willis
J. Mech. Phys. Solids • 1966
View 3 Excerpts
Highly Influenced

Indentation modulus of elastically anisotropic half spaces

J. J. Vlassak, W. D. Nix
Philos. Mag. A • 1993
View 2 Excerpts

An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments

J. G. Swadener, G. M. Pharr
J . Mater . Res . • 1992

An approximate solution for the contact area and elastic compliance of a smooth punch of arbitrary shape

D. M. Barnett, J. Lothe
Int . J . Mech . Sci . • 1990

Elastic moduli of diamond as a function of pressure and temperature

H. J. 13–22. McSkimin, W. L. Bond
J . Appl . Phys . • 1972
View 2 Excerpts

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