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
Critical Evaluation of Spherical Indentation Stress-Strain Protocols for the Estimation of the Yield Strengths of Steels
TL;DR: In this article, the authors evaluate the quantitative relationship between the yield strengths measured in standard tensile tests and the indentation yield strengths obtained from the recently developed spherical indentation stress-strain protocols for a broad range of steels with varying properties and microstructures.
Journal ArticleDOI
A mathematical model for rolling/sliding line contacts in boundary and near boundary lubrication
TL;DR: In this paper, a mathematical model for rolling/sliding line contacts operating in boundary and near boundary lubrication is presented, which includes key mechanical, thermal and tribo-chemical aspects of the problem including mode of deformation of the contact, friction, flash temperature, boundary film characterization and fluid-solid load sharing.
Book ChapterDOI
Nanomechanical Properties and Deformation Mechanism in Metals, Oxides and Alloys
TL;DR: In this article, the authors investigated the deformation properties of metal, oxides and alloys in terms of surface hardness and elastic modulus, along with pile-up/sink-in deformation mechanism analysis.
Journal ArticleDOI
Elastoplastic constriction resistance model for sphere-flat contacts
Journal ArticleDOI
Understanding dynamic indentation behaviour of metallic materials
TL;DR: In this paper, the dynamic indentation (DI) hardness behavior of metallic materials, characterised by ultrahigh strain rate plastic deformation under adiabatic conditions, is poorly understood.
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.