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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Journal ArticleDOI
The effect of indenter geometry on the elastic response to indentation
TL;DR: In this paper, the authors describe various analytical procedures that account for the influence of the geometry of a rigid indenter on the measured contact compliance of a smooth perfectly elastic half space.
Journal ArticleDOI
The relationship between indentation and uniaxial creep in amorphous selenium
TL;DR: In this paper, the authors used the power-law creep equation and the equation for Newtonian viscosity as a function of stress and strain rate to obtain a relationship between indentation strain rate and the effective strain rate.
Journal ArticleDOI
Frictionless indentation of dissimilar elastic-plastic spheres
TL;DR: In this article, a finite element study on the frictionless normal contact of elastic-plastic spheres and rigid spheres is performed, where the effects of elasticity, strain hardening rate, relative size of the spheres and their relative yield strength are explored.
Journal ArticleDOI
Issues to consider using nano indentation on shallow ion beam irradiated materials
TL;DR: In this article, the authors focus on issues associated with size and dose effects associated with quasi static nanoindentation on shallow irradiated Cu [1.0.0] single crystal material.
Journal ArticleDOI
Elastic recovery of a scratch in a polymeric surface: experiments and analysis
TL;DR: In this article, an analysis of the elastic recovery of a scratch after contact with a tip was performed using the standard indentation laws, which can be used to analyse the geometry of the scratches left by a moving tip on the surface of a viscoelastic viscoplastic body such as a commercial grade of cast polymethylmethacrylate (PMMA).
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.