The effect of crack-tip constraint in some problems of fracture mechanics

• Published in: Engineering failure analysis 2020-03, Vol.110, p.104413, Article 104413
• Main Author: Matvienko, Yu.G.
• Format: Article
• Language: English
• Subjects: Crack-tip constraint; Fracture mechanics; Parameter A; T-stress
• ISSN: 1350-6307; 1873-1961
• DOI: 10.1016/j.engfailanal.2020.104413

•The non-singular T-stress components and the parameter A are employed as crack-tip constraint parameters.•The effect of in-plane and out-of-plane crack-tip constraint parameters in fracture mechanics is discussed.•The crack tip plastic zone, the failure assessment diagram, the crack path are analyzed from viewpoint of local constraint.•The parameter A is introduced in fracture criterion as a constraint parameter. The effect of in-plane and out-of-plane crack-tip constraint parameters, namely, the non-singular T-stress components and the parameter A, in some problems of elastic and elastic-plastic fracture mechanics is discussed. The three-dimensional crack tip stresses including the non-singular T-stress components are employed to describe the crack tip plastic zone, the failure assessment diagrams and the constraint-dependent fracture toughness for a solid with a finite notch/crack under mode I loading and different angles of surface crack growth under conditions of rolling-sliding. Theoretical and numerical aspects of the two-parameter J-A approach in elastic-plastic fracture mechanics are presented in connection with crack-tip constraint. It is shown that the parameter A can be introduced in a fracture criterion as a constraint parameter.