The analytic solution of near-tip stress fields for perfectly plastic pressure-sensitive material under plane stress condition

✍ Scribed by F. Z. Li

• Publisher: Springer Netherlands
• Year: 1992
• Tongue: English
• Weight: 547 KB
• Volume: 53
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034180

✦ Synopsis

Different from dense metals, many engineering materials exhibit pressure-sensitive yielding and plastic volumetric deformation. Adopting a yield criterion that contains a linear combination of the Mises stress and the hydrostatic stress, the analytic solutions of plane-stress mode I perfectly-plastic near-tip stress fields for pressuresensitive materials are derived. Also, the relevant characteristic fields are presented. This perfectly plastic solution, containing a pressure sensitivity parameter #, is shown to correspond to the limit of low-hardening solutions, and when /~ = 0 it reduces to the perfectly plastic solution of near-tip fields for the Mises material given by Hutchinson [1]. The effects of material pressure sensitivity on the near-tip fields are discussed.