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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Mechanical properties study of particles reinforced aluminum matrix composites by micro-indentation experiments
TL;DR: In this paper, the micro-indentation experiments were performed with different maximum loads, and with three loading speeds of 2.231, 4.462 and 19.368 mN/s respectively.
Journal ArticleDOI
Numerical study of scratch velocity effect on recovery of viscoelastic–viscoplastic solids
TL;DR: In this paper, the influence of the tip velocity on the scratch recovery of polymer-like time-dependent solids is qualitatively investigated, and a new method allowing the connection in series of two different rheological models in a FE code is presented.
Journal ArticleDOI
Elastic-plastic indentation stress fieldsusing the finite-element method
G Care,A. C Fischer-Cripps +1 more
TL;DR: In this article, the authors used the finite element method to model the elastic-plastic indentation response of a flat extensive specimen for the case of a spherical indenter and compared the results of elastic formulae.
Journal ArticleDOI
An attempt to determine the true stress-strain curves of amorphous polymers by nanoindentation
TL;DR: In this paper, the authors identify the true material stress-strain curves of some amorphous polymers (PC, PMMA, CR39) from nanoindentation experiments by using non-self similar tip shapes, i.e., tips promoting an increasing strain with an increasing indentation depth.
Journal ArticleDOI
Deformation mechanisms, size effects, and strain hardening in nanoscale metallic multilayers under nanoindentation
TL;DR: In this article, the authors investigated the impact of surface pile-up on NMM composites using atomistic simulations of nanoindentation on such multilayers with varying individual layer thickness.
References
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Book
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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.
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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.