Journal ArticleDOI
The correlation of indentation experiments
TLDR
In this article, a simplified theoretical model of this behaviour is obtained by extending R. Hill's theory of expanding a cylindrical or spherical cavity in an elastic-plastic material to ensure compatibility between the volume of material displaced by the indenter and that accommodated by elastic expansion.Abstract:
The theory of rigid perfectly-plastic solids predicts indentation pressures, using wedge-shaped or conical indenters, which depend only on the geometry of the indenter and the yield stress of the material. With blunt wedges or with materials having a low ratio of Young's modulus, E, to yield stress, Y, the material displaced by the indenter is accommodated by an approximately radial expansion of the surrounding material. The indentation pressure then falls below the rigid perfectly-plastic value. In these circumstances, measurements of indentation pressure for a variety of indenter geometries are shown to correlate with the single parameter (E/Y) tan β, where β is the angle of inclination of the indenter to the surface at the edge of the indentation. This parameter may be interpreted as the ratio of the strain imposed by the indenter to the yield strain of the material.
A simplified theoretical model of this behaviour is obtained by extending R. Hill's theory of expanding a cylindrical or spherical cavity in an elastic-plastic material to ensure compatibility between the volume of material displaced by the indenter and that accommodated by elastic expansion.read more
Citations
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Investigation of strain-hardening characteristics of cold-sprayed Al–Al2O3 coatings: a combined nanoindentation and expanding cavity models approach
TL;DR: In this paper, the deformation behavior of Al-Al2O3 cermet coatings deposited by low-pressure cold spraying (LPCS) on AZ31 magnesium and Al6056 light was studied.
Journal ArticleDOI
Elastic Recovery at Static Loading and Impact Indentations in MgF2
TL;DR: In this paper, the extent of elastic recovery at spherical indentations in MgF2 indented by static and impact loads was analyzed and the fraction of the indentation depth that was recovered decreased with increasing static load.
Journal ArticleDOI
On the correlation between residual stresses and global indentation quantities: Numerical results for general biaxial stress fields
TL;DR: In this paper, the correlation between residual stresses and the global properties from an indentation test, i.e. hardness and size of the contact area, has been studied frequently in recent years.
Journal ArticleDOI
On the invariance of hardness at sharp indention of materials with general biaxial residual stress fields
TL;DR: In this paper, the influence from residual surface stresses on the global indentation properties, i.e. hardness and size of the contact area, have been studied quite frequently, based on experimental, theoretical and numerical methods and for one thing, the invariance of hardness in the case of residual equi-biaxial surface stresses has been well-established.
Journal ArticleDOI
Ni-W Electrodeposited Coatings on Low Carbon Steel Substrate: Fatigue Observations
TL;DR: In this paper, the fatigue response of electrodeposited Ni-W on low carbon steel substrate was studied and the cyclic softening of the coatings was demonstrated using indentation techniques.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI
The Elastic Contact of Rough Spheres
J. A. Greenwood,J. H. Tripp +1 more
TL;DR: In this article, the Hertzian theory of elastic contact between spheres is extended by considering one of the spheres to be rough, so that contact occurs, as in practice, at a number of discrete microcontacts.