Phenomenological modelling of a brittle-to-ductile transition for bodies with cracks

✍ Scribed by I.V. Orynyak; V.M. Torop

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 576 KB
• Volume: 52
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(95)00015-n

✦ Synopsis

This paper considers the problems of construction of statically possible stress fields in the vicinity of the crack tip. The authors suggest a mechanism for the generation of stresses parallel to the crack front and sufficient (according to the Tresca theory) for quasi-brittle stress distribution in the planes perpendicular to the crack front. The requirement has been obtained for the body thickness, which would ensure stress state triaxiality, that correlates with the empirical plane strain condition. The authors also propose the development of the model to take into account the effect of the material hardening and nominal stresses.

Critical stresses at a characteristic distance from the crack tip have been chosen as a brittle fracture criterion. On the basis of the Ludwik-Yoffe scheme and considering the models proposed, the authors constructed temperature dependences of the maximum stress intensity factors.