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
More filters
Journal ArticleDOI
A theoretical model for elastic-perfectly plastic flat cylindrical punch indentation
TL;DR: In this paper, the authors present a theoretical model for the indentation curve (load vs. penetration) based on the Young's modulus, Poisson's coefficient, yield stress, hardening exponent, friction, and shape of the indenter.
Journal ArticleDOI
Model based phenomenological and experimental investigation of nanoindentation creep in pure Mg and AZ61 alloy
TL;DR: In this article, the authors derived analytical equations relating indentation creep rate to penetration depth for different creep deformation mechanisms and found that drift drift was the predominant deformation mechanism for both pure magnesium and AZ61 alloy.
Journal ArticleDOI
A new method to determine the true projected contact area using nanoindentation testing
TL;DR: In this paper, a new technique to determine the true projected contact area by nanoindentation is presented, which requires combining two models used normally to calculate the representative stress and strain from nanoindents parameters.
Journal ArticleDOI
Numerical Modeling of Frictional Contact Between a Blunt Tool and Quasi-Brittle Rock
George Z. Voyiadjis,Yaneng Zhou +1 more
TL;DR: In this paper, the average contact stress between a sliding wear flat and a rock is analyzed using an elasto-plastic-damage model that accounts for the material length scales of quasi-brittle materials.
Journal ArticleDOI
Indentation cracking in silicate glasses is directed by shear flow, not by densification
TL;DR: In this article, it was shown that shear flow stress is the primary determinant of these properties, and that densification plays a secondary role in the indentation response of all the silicate glasses.
References
More filters
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.