Dislocation model of localized plastic deformation initiated with a flat punch

作者:Ma Lifeng; Korsunsky Alexander M*; Wiercigroch Marian
来源:International Journal of Solids and Structures, 2010, 47(7-8): 1082-1089.
DOI:10.1016/j.ijsolstr.2010.01.004

摘要

We consider a classical contact mechanics problem, namely, the indentation of a ductile half-plane by a rigid flat punch (in plane strain), and revisit it using the dislocation mechanics approach. The dislocation nucleation and dislocation interaction beneath the indenter are examined. The threshold load for dislocation nucleation and the dislocation emission angle are obtained in analytical form. Moreover, based on the consideration of dislocation interaction, we explore the mechanism of contact load evolution (hardening). A triangular "dead zone" beneath the indenter, which could not be thus far accurately explained by traditional continuum models, is predicted in good agreement with the results of careful experiments that are reported in the literature.