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Scale effects in friction of single-asperity contacts. II: Multiple-dislocation-cooperated slip. (English) Zbl 0982.74007

From the summary: We explore the second transition in the mechanism of frictional slip of single-asperity contacts, which takes place at large contact sizes. This is transition from single-dislocation-assisted (SDA) slip to multiple-dislocation-cooperated (MDC) slip. It is found that the friction stress is controlled by dislocation nucleation for SDA slip, and by dislocation mobility for MDC slip. A model of concentric dislocation loops is introduced to analyze dislocation pile-up processes and their relationship to the friction stress. Dislocations are stabilized to be piled up as a result of the non-zero effective Peierls stress of the interface. The analysis shows that slip occurs when the condition for the nucleation of a new dislocation and the condition for destabilizing the leading dislocation of the pile-up are simultaneously satisfied. It is also shown that, as the contact size increases, the friction stress approaches asymptotically a constant value equal to the effective Peierls stress of the interface.

MSC:

74A55 Theories of friction (tribology)
74A60 Micromechanical theories
74M10 Friction in solid mechanics
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