Elastic-plastic fields near crack tip growing step-by-step in a perfectly plastic solid

✍ Scribed by Tzu-Chiang Wang

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 575 KB
• Volume: 31
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(88)90119-1

✦ Synopsis

In this paper, based on the three-dimensional flow theory of plasticity, the fundamental equations for the plane strain problem of elastic-perfectly plastic solids are presented. By using these equations the elastic-plastic fields near the crack tip growing step-by-step in an elastic incompressible-perfectly plastic solids are analysed. The first order asymptotic solutions for the stress field and velocity fields near the crack tip are obtained. The solutions show the evolution process of the elastic unloading domain and the development process of the central fan domain, and reveal the possibility of the presence of the secondary plastic domain. The second order asymptotic solution for the stress field is also presented.