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
Scaling, dimensional analysis, and indentation measurements
Yang-Tse Cheng,Che-Min Cheng +1 more
TL;DR: In this article, the authors provide an overview of the basic concepts of scaling and dimensional analysis, followed by a review of some of the recent work on applying these concepts to modeling instrumented indentation measurements.
Journal ArticleDOI
Discrete dislocation plasticity: a simple planar model
TL;DR: In this article, a method for solving small-strain plasticity problems with plastic flow represented by the collective motion of a large number of discrete dislocations is presented, modelled as line defects in a linear elastic medium.
Journal ArticleDOI
General relationship between strength and hardness
Peng Zhang,S.X. Li,Zhefeng Zhang +2 more
TL;DR: Zhang, P., Li, S. X., Zhang, Z. F., this paper proposed a method for Chinese Acad Sci, Inst Met Res, Shenyang National Lab Mat Sci, Shenya 110016, Peoples R China.
Journal ArticleDOI
The correlation of the indentation size effect measured with indenters of various shapes
TL;DR: In this article, the authors show that the indentation size effect for pyramidal and spherical indenters can be correlated, based on geometrically necessary dislocations and work-hardening.
Journal ArticleDOI
Determination of elastoplastic properties by instrumented sharp indentation
TL;DR: In this article, the authors present an instrumented indentation method that provides a continuous record of the variation of indentation load, P, as a function of the depth of penetration, h, into the indented specimen.
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.