A Solution of Rigid–Perfectly Plastic Deep Spherical Indentation Based on Slip-Line Theory

Jackson, Robert L.; Ghaednia, Hamid; Pope, Sara

doi:10.1007/s11249-015-0524-3

Cited by 40 publications

(29 citation statements)

References 29 publications

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“…Literature reports a value of around 2.8 for the indentation constraint factor defined as the ratio of hardness or mean pressure to uniaxial flow stress [1,3,5,24,[44][45][46][47][48][49][50][51][52]. These studies are primarily inspired by Tabor's initial experiments conducted on copper and steel for which he identified a ratio of 2.8.…”

Section: Relationships Between Indentation and Uniaxial Measurementsmentioning

confidence: 99%

High throughput exploration of process-property linkages in Al-6061 using instrumented spherical microindentation and microstructurally graded samples

Weaver

Khosravani

Castillo

et al. 2016

Integr Mater Manuf Innov

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Recent spherical nanoindentation protocols have proven robust at capturing the local elastic-plastic response of polycrystalline metal samples at length scales much smaller than the grain size. In this work, we extend these protocols to length scales that include multiple grains to recover microindentation stress-strain curves. These new protocols are first established in this paper and then demonstrated for Al-6061 by comparing the measured indentation stress-strain curves with the corresponding measurements from uniaxial tension tests. More specifically, the scaling factors between the uniaxial yield strength and the indentation yield strength was determined to be about 1.9, which is significantly lower than the value of 2.8 used commonly in literature. The reasons for this difference are discussed. Second, the benefits of these new protocols in facilitating high throughput exploration of process-property relationships are demonstrated through a simple case study.

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Section: Relationships Between Indentation and Uniaxial Measurementsmentioning

confidence: 99%

High throughput exploration of process-property linkages in Al-6061 using instrumented spherical microindentation and microstructurally graded samples

Weaver

Khosravani

Castillo

et al. 2016

Integr Mater Manuf Innov

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“…It also does not consider volume conservation, the effect of curvature on slip-lines, and the occurrence of pileup or sink-in. It also captures the trend of decreasing average pressure with deformation often observed in other curved contacts, such as in spheres [8,12,14,15]. Clearly, this pressure is not constant as has often been assumed when describing the hardness between contact surfaces.…”

Section: Methodsmentioning

confidence: 78%

“…The slip-line theory and derivation is not thoroughly described here, but additional details can be found in the book by Tabor [10] and Hencky [11]. A recent work aimed at spherical indentation also used a similar methodology [12]. The assumptions required for the employed slip-line theory are (1) quasi-static loading; (2) body forces are nil; and (3) the material is rigid-perfectly plastic and Fig.…”

Section: Methodsmentioning

confidence: 99%

A Solution of Rigid Perfectly Plastic Cylindrical Indentation in Plane Strain and Comparison to Elastic-Plastic Finite Element Predictions With Hardening

Jackson

2017

Journal of Applied Mechanics

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The indentation of flat surfaces deforming in the plastic regime by various geometries has been well studied. However, there is relatively little work investigating cylinders indenting plastically deforming surfaces. This work presents a simple solution to a cylindrical rigid frictionless punch indenting a half-space considering only perfectly plastic deformation. This is achieved using an adjusted slip line theory. In addition, volume conservation, pileup and sink-in are neglected, but the model can be corrected to account for it. The results agree very well with elastic-plastic finite element predictions for an example using typical steel properties. The agreement does diminish for very large deformations but is still within 5% at a contact radius to cylinder radius ratio of 0.78. A method to account for strain hardening is also proposed by using an effective yield strength.

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“…The work from Jackson and Green [43] resulted in the following equations that relate the contact parameters for a circular contact to the initial yielding. To derive these equations, the von Mises yield criterion was used which can equally be applied to flattening as well as indentation cases [45].…”

Section: Introductionmentioning

confidence: 99%

A simple deterministic plastoelastohydrodynamic lubrication (PEHL) model in mixed lubrication

Azam

Dorgham

Morina

et al. 2019

Tribology International

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A Solution of Rigid–Perfectly Plastic Deep Spherical Indentation Based on Slip-Line Theory

Cited by 40 publications

References 29 publications

High throughput exploration of process-property linkages in Al-6061 using instrumented spherical microindentation and microstructurally graded samples

High throughput exploration of process-property linkages in Al-6061 using instrumented spherical microindentation and microstructurally graded samples

A Solution of Rigid Perfectly Plastic Cylindrical Indentation in Plane Strain and Comparison to Elastic-Plastic Finite Element Predictions With Hardening

A simple deterministic plastoelastohydrodynamic lubrication (PEHL) model in mixed lubrication

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