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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Journal ArticleDOI
Estimation of tensile strengths of metals using spherical indentation test and database
TL;DR: In this paper, the authors proposed a database-based method for estimating the strength properties of in-service equipment based on the application of a database of Ludwik constitutive parameter vectors.
Elastic-plastic indentation deformation in homogeneous and layered materials: finite element analysis
TL;DR: In this article, the complex phenomenon of indentation deformation using finite element analysis for both homogeneous and layered materials is studied, and a generalized power law equation is presented for characterizing the indentation load-displacement responses of film-substrate structures.
Journal ArticleDOI
Vickers indentation tests in a Zr62.55Cu17.55Ni9.9Al10 bulk amorphous alloy
TL;DR: In this article, the plastic deformation is accommodated through semi-circular and radial shear bands in a Zr62.55Cu17.9Al10 amorphous alloy.
Journal ArticleDOI
Indentation and deformation behavior of FeCo-based bulk metallic glass alloys
TL;DR: In this paper, a compressive strength value of 4776 MPa was calculated using hardness data, which was tested and analyzed in as-cast, sub-Tg annealed and partially crystalline conditions.
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.