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Size effects in single asperity frictional contacts

V S Deshpande1, D S Balint1, A Needleman2 and E Van der Giessen3

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Two sets of indentation and sliding discrete dislocation plasticity analyses are carried out to investigate the initiation of frictional sliding between a rigid asperity and a single crystal film. Most calculations are carried out for sinusoidal asperities, but for comparison purposes some results are presented for wedge-shaped asperities. In one set of calculations the friction coefficient is evaluated from separate indentation and sliding calculations while in another set the indentation and sliding processes are carried out sequentially. Both sets of friction calculations predict a similar friction stress versus contact size relation with the friction stress dominated by adhesion at small contact sizes, being plasticity governed at large contact sizes and being strongly size dependent at intermediate values of the contact size. Remarkably, the predicted values of the friction coefficient are similar for both sets of calculations even though the predicted deformation fields and dislocation structures differ significantly.


PACS

62.20.M- Structural failure of materials

62.20.Qp Friction, tribology, and hardness

62.20.F- Deformation and plasticity

68.60.Bs Mechanical and acoustical properties

61.72.Hh Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.)

68.35.Np Adhesion

Subjects

Surfaces, interfaces and thin films

Condensed matter: structural, mechanical & thermal

Dates

Issue 1 (January 2007)

Received 1 June 2006, in final form 31 August 2006

Published 7 December 2006



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