The exact solutions of elastic-plastic crack line field for mode II plane stress crack

Abstract

The near crack line field analysis method has been used to investigate into the exact elastic-plastic solutions of a mode II crack under plane stress condition in an elastic-perfectly plastic solid. The assumptions of the usual small scale yielding theory have been completely dbandoned and the correct formulations of matching conditions at the elastic-plastic boundary have been given. By matching the general solution of the plastic stress field (but not the special solution used to be adopted) with the exact elastic stress field (but not the crack tip K-dominant field) at the elastic-plastic boundary near the crack line, the plastic stresses, the length of the plastic zone and the unit normal vector of the elastic-plastic boundary, which are sufficiently precise near the crack line region, have been given.