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 experimental investigation of the scratch behaviour of polymers – 2: Influence of hard or soft fillers
TL;DR: In this paper, the effect of fillers on the scratch deformation mode and hence on scratch visibility was evaluated by examining recorded penetration depth and acoustic emission traces together with optical microscope images of the groove left on the surface.
Journal ArticleDOI
Modelling the strain rate sensitivity on the subsurface damages of scratched glass ceramics
TL;DR: In this article, the authors proposed a new theoretical stress field model in which the strain rate effect is introduced for estimating plastic deformation and cracks, which can provide guidance for machining-induced damage design and the manufacture and application of glass ceramic components.
Journal ArticleDOI
Indentation stress dependence of the temperature range of microscopic superelastic behavior of nickel-titanium thin films
TL;DR: In this article, the Clausius-Clapeyron equation and spherical cavity model were combined for indentation in thin-film NiTi to investigate the microscopic superelastic behavior of NiTi, and the authors showed that the high hydrostatic pressure under the indenter is capable of elevating the transformation temperatures and increasing the upper temperature limit of indentation-induced SU behavior.
Journal ArticleDOI
Universal scaling functions for continuous stiffness nanoindentation with sharp indenters
L. Wang,S. I. Rokhlin +1 more
TL;DR: In this paper, the authors presented numerical and scaling analysis for continuous stiffness measurement (CSM) in nanoindentation tests and showed numerically and experimentally that in CSM with sharp indenters, the indentation displacement is proportional to stiffness and load is proportionally to stiffness squared.
Journal ArticleDOI
Analysis of penetration curves produced by sharp indentations on ceramic materials
Kaiyang Zeng,David Rowcliffe +1 more
TL;DR: In this article, a detailed analysis of the load-depth curves, information related to various compressive mechanical properties is obtained from different portions of load-penetration curves, including hardness, yielding stress, strain hardening, surface displacement and plastic zone size.
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.