We model indentation of a metal surface by combining an atomistic metal with a hard-sphere indenter. This work provides atomistic imaging of dislocation nucleation during displacement controlled indentation on a passivated surface. Dislocations and defects are located and imaged by local deviations from centrosymmetry. For a Au(111) surface, nucleation of partial dislocation loops occurs below the surface inside the indenter contact area. We compare and contrast these observations with empirical criteria for dislocation nucleation and corresponding continuum elasticity solutions.

Dislocation nucleation and defect structure during surface indentation

In this article we review the nature and mechanics of damage induced in ceramics by spherical indenters, from the classical studies of Hertz over a century ago to the present day. Basic descriptions of continuum elastic and elastic-plastic contact stress fields are first given. Two distinct modes of damage are then identified: Hertzian cone cracks, in relatively hard, homogeneous materials, such as glasses, single crystals, fine-grain ceramics (tensile, brittle mode); and diffuse subsurface damage zones, in relatively tough ceramics with heterogeneous microstructures (shear, quasi-plastic mode). Ceramographic evidence is presented for the two damage types in a broad range of materials, illustrating how an effective brittle-ductile transition can be engineered by coarsening and weakening the grain structure. Continuum analyses for cone fracture and quasi plasticity, using Griffith-Irwin fracture mechanics and yield theory, respectively, are surveyed. Recent micromechanical models of the quasi-plastic mode are also considered, in terms of grain-localized shear faults with extensile wing cracks. The effect of contact-induced damage on the ensuing strength properties of both brittle and quasi-plastic ceramics is examined. Whereas cone cracking causes abrupt losses in strength, the effect of quasi-plastic damage is more gradual-so that more heterogeneous ceramics are more damage tolerant. On the other hand, quasi-plastic ceramics are subject to accelerated strength losses in extreme cyclic conditions (contact fatigue), because of coalescence of attendant microcracks, with implications concerning wear resistance and machinability. Extension of Hertzian contact testing to novel layer structures with hard, brittle outer layers and soft, tough underlayers, designed to impart high toughness while preserving wear resistance, is described.

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Indentation of Ceramics with Spheres: A Century after Hertz

Quantification of fretting damage

Modele de calcul du coefficient de frottement statique dans le cas de surfaces rugueuses metalliques

Static Friction Coefficient Model for Metallic Rough Surfaces

Analysis of sliding behaviour for fretting loadings : determination of transition criteria

Explicit formulae have been developed for the stresses beneath a sliding, normally loaded Hertzian contact. As friction rises a region of impending failure develops in the back edge of contact.

http://journals.sagepub.com/doi/pdf/10.1243/PIME_PROC_1983_197_076_02

G M Hamilton

Papers

Explicit Equations for the Stresses beneath a Sliding Spherical Contact