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
Probing material properties with sharp indenters: a retrospective
Brian R. Lawn,Robert F. Cook +1 more
TL;DR: A retrospective on the use of sharp, fixed-profile indenters as materials probes is presented in this paper, where the utility of indentations as controlled flaws in the context of strength of materials is outlined.
Journal ArticleDOI
Discrete dislocation plasticity analysis of the wedge indentation of films
TL;DR: In this paper, the authors analyzed the plane strain indentation of single crystal films on a rigid substrate by a rigid wedge indenter using discrete dislocation plasticity and found that the indentation pressure for the 10 and 50 μ m thick films decreases with increasing contact size and attains a contact size-independent value for contact lengths A > 4 μ m.
Journal ArticleDOI
Recent advances in dynamic indentation fracture, impact damage and fragmentation of ceramics
TL;DR: In this article, the deformation behavior and fracture patterns evolved during dynamic impact on structural ceramics are compared with the fracture pattern evolved during the high-velocity ball impact on SiC.
Journal ArticleDOI
Finite element analysis of cone indentation
A.K. Bhattacharya,William D. Nix +1 more
TL;DR: In this paper, an elastoplastic analysis of axisymmetric conical indentation has been made using the finite element method, and the results show that the shapes of the plastic zones depend strongly on both indenter angle and the ratio of Young's modulus to yield strength.
Journal ArticleDOI
Subsurface deformation during Vickers indentation of bulk metallic glasses
TL;DR: In this paper, the authors employed the bonded interface technique to examine the nature of subsurface deformation during Vickers indentation in two kinds of bulk metallic glasses (BMGs), and found that both the BMGs have an average hardness value of $550 VHN with slightly higher hardness at low loads.
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.