Plastic deformation ahead of a plane stress tensile crack growing in an elastic-perfectly-plastic solid

✍ Scribed by Quanxin Guo; Kerong Li

• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 572 KB
• Volume: 28
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(87)90209-8

✦ Synopsis

A~~ct~uasistatically

propagating plane stress tensile and anti-plane strain cracks in an elastic-~~ectIy-plastic solid have been studied. In the plastic loading zone, based on the basic equations of the Prandtl-Reuss flow rule and the Huber-Mises yield criterion, the stresses and particle velocities have been expanded in a power series of the distance y to the crack-line. By matching the stresses and particle velocities with the dominant terms of appropriate elastic fields at the elastic-plastic boundary near the crack-line, the arbitrary functions that enter in the expansions have been determined and a complete solution for the strain on the crack line has been obtained. For an anti-plane strain crack, the present solution coincides with that given by Achenbach and Dunayevsky, but not for a plane stress tensile crack. Numerical calcuiation has been carried out for the far-field stress level that would be required for a steadily propagating crack.