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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An expanding cavity model incorporating strain-hardening and indentation size effects
TL;DR: In this paper, an expanding cavity model for determining indentation hardness of elastic strain-hardening plastic materials is developed, which is based on a strain gradient plasticity solution for an internally pressurized thick-walled spherical shell of an elastic power-law hardening material.
Journal ArticleDOI
Multiple correlations of material parameters of light-cured dental composites
TL;DR: Correlations between material parameters of dental composites allowed the rapid temporal variations of Young's modulus and viscosity during curing to be estimated based on the measured polymerization shrinkage-strain history.
Journal ArticleDOI
An analytical elastic plastic contact model with strain hardening and frictional effects for normal and oblique impacts
TL;DR: In this article, a new formulation for frictional elastic-plastic contact between two surfaces is developed to consider both frictional, oblique contact (of which normal, frictionless contact is a limiting case) and strain hardening effects.
Journal ArticleDOI
Identification of yield stress and plastic hardening parameters from a spherical indentation test
S. Kucharski,Zenon Mróz +1 more
TL;DR: In this paper, the material parameters σ0, k and m are identified from spherical indentation tests by measuring compliance moduli in loading and unloading of the load-penetration curve.
Journal ArticleDOI
Microscopy and microindentation mechanics of single crystal Fe−3 wt. % Si: Part II. TEM of the indentation plastic zone
TL;DR: In this paper, dislocation arrangements about a range of microindentations into the face of an Fe−3 wt. % Si single crystal have been accomplished, with the experimental observations being reasonably consistent with continuum models.
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.