Scale effects in friction of single–asperity contacts. II. Multiple–dislocation–cooperated slip

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Hurtado Juan A. and Kim Kyung–Suk 1999Scale effects in friction of single–asperity contacts. II. Multiple–dislocation–cooperated slipProc. R. Soc. Lond. A.4553385–3400http://doi.org/10.1098/rspa.1999.0456SectionRestricted accessResearch articleScale effects in friction of single–asperity contacts. II. Multiple–dislocation–cooperated slip Juan A. Hurtado Juan A. Hurtado Division of Engineering, Brown University, Providence, RI 02912, USA Google Scholar Find this author on PubMed Search for more papers by this author and Kyung–Suk Kim Kyung–Suk Kim Division of Engineering, Brown University, Providence, RI 02912, USA Google Scholar Find this author on PubMed Search for more papers by this author Juan A. Hurtado Juan A. Hurtado Division of Engineering, Brown University, Providence, RI 02912, USA Google Scholar Find this author on PubMed Search for more papers by this author and Kyung–Suk Kim Kyung–Suk Kim Division of Engineering, Brown University, Providence, RI 02912, USA Google Scholar Find this author on PubMed Search for more papers by this author Published:08 September 1999https://doi.org/10.1098/rspa.1999.0456AbstractIn this paper we explore the second transition in the mechanism of frictional slip of single–asperity contacts, which takes place at large contact sizes. This is a 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 analyse 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. This result is in agreement with reported experimental results in the surface force apparatus (SFA). The case of a large number of dislocations in the pile–up is studied via an asymptotic analysis, a key concept of which is the existence of a dislocation–free zone that controls the dislocation nucleation process. The analysis provides the connection between the discrete dislocation model and the continuous cohesive zone model of single–asperity friction. 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