The dimension of plastic zone ahead of a mode II plane stress crack

✍ Scribed by Guo Quanxin; Li Kerong

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 360 KB
• Volume: 29
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(88)90011-2

✦ Synopsis

In this paper, a mode II plane stress crack in au ei~~c-~ec~y-~~tic material has been investigated. In the plastic zone, based on the Huber-!&sea yield criterion and the Prandtl-Reuss flow rule, the stress field near crack line is expanded in power series of the distance, y, to the crack line. The unit normal vector of the elastic-piastic boundary %(I,&) is expressed in power series of the angle, #, to the crack line. At the elastic-plastic boundary, to match the stress field in plastic zone with the elastic singular field for a crack shows that the elastic field out of the near-tip plastic zone cannot be the elastic singular field for a crack. Hence, the usual definition of small scale yielding is questionable. The elastic-plastic boundary on the crack line has been determined by matching the stress Reid in plastic zone with the elastic dominant fMd (i.e. X-field).