Three-dimensional modelling of indentation fracture in brittle materials

Rabinovich, V. L.; Sarin, V.K.

doi:10.1016/0921-5093(95)09975-1

Cited by 14 publications

(4 citation statements)

References 15 publications

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“…The work of Giannakopoulos [11] presents the results of frictionless and adhesionless contact of flat surfaces by pyramid indenters. One can also note the numerical works Murakami et al [12], Larsson et al [13] for the analysis of Berkovich indentation; the works of Rabinovich and Savin [14] -for the analysis of Knoop indentation.…”

Section: Of Coulomb Friction In the Region Of Contactmentioning

confidence: 98%

A new algorithm for computing the indentation of a rigid body of arbitrary shape on a viscoelastic half-space

Kozhevnikov

Cesbron

Duhamel

et al. 2008

International Journal of Mechanical Sciences

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In this paper the contact problem between a rigid indenter of arbitrary shape and a viscoelastic half-space is considered. Under the action of a normal force the penetration of the indenter and the distribution of contact pressure change. We wish to find the relations which link the pressure distribution, the resultant force on the indenter and the penetration on the assumption that the surfaces are frictionless.For indenters of arbitrary shape the problem may be solved numerically by using the Matrix Inversion Method (MIM), extended to viscoelastic case. In this method the boundary conditions are satisfied exactly at specified "matching points" (the mid-points of the boundary elements). It can be validated by comparing the numerical results to the analytic solutions in cases of a spherical asperity (loading and unloading) and a conical asperity (loading only).

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Section: Of Coulomb Friction In the Region Of Contactmentioning

confidence: 98%

A new algorithm for computing the indentation of a rigid body of arbitrary shape on a viscoelastic half-space

Kozhevnikov

Cesbron

Duhamel

et al. 2008

International Journal of Mechanical Sciences

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“…Although Knoop indenter is relatively common to use, it has not received suitable attention with respect to the study of some of the peculiarities of the test itself. One of the first studies using numerical simulation of the Knoop indentation test was performed by Rabinovich and Sarin [13], in their study, the Knoop indentation was analyzed in the context of linear elasticity. Giannakopoulos [14] presented analytical results on the response of frictionless and adhesionless contact of flat, linear elastic and visco-elastic isotropic surfaces penetrated by pyramidal indenters including the Knoop geometry.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Depth-Sensing Indentation Test with Knoop Indenter

Simões

Antunes

Fernandes

et al. 2018

Metals

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Depth-sensing indentation (DSI) technique allows easy and reliable determination of two mechanical properties of materials: hardness and Young’s modulus. Most of the studies are focusing on the Vickers, Berkovich, and conical indenter geometries. In case of Knoop indenter, the existing experimental and numerical studies are scarce. The goal of the current study is to contribute for the understanding of the mechanical phenomena that occur in the material under Knoop indention, enhancing and facilitating the analysis of its results obtained in DSI tests. For this purpose, a finite element code, DD3IMP, was used to numerically simulate the Knoop indentation test. A finite element mesh was developed and optimized in order to attain accurate values of the mechanical properties. Also, a careful modeling of the Knoop indenter was performed to take into account the geometry and size of the imperfection (offset) of the indenter tip, as in real cases.

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“…Rabinovich and Sarin [17] proposed a numerical method for analyzing the stress-strain field and fracture in brittle elastic-plastic structures and obtained K c of silicon nitride using a multi-region boundary integral method. Tang et al [18] treated the indentation problem separately from the cracking problem and thus did not account for the interaction of crack and stress field.…”

Section: Introductionmentioning

confidence: 99%