Details

Autor(en) / Beteiligte

• Ma, Lifeng
• Hills, David A.

Titel

Interaction of a parabolic notch with a generalized singularity

Ist Teil von

• International journal of engineering science, 2022-06, Vol.176, p.103685, Article 103685

Ort / Verlag

Oxford: Elsevier Ltd

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• •An analytical solution for a parabolic notch interacting with a generalized singularity is derived.•The parabolic notch interacting with a dislocation is analyzed, and the driving force on the dislocation due to the notch configuration is obtained.•The solutions can be used as building blocks to model the damage of parabolic notch as well as it is under complex load conditions. The method developed in this study may be also used to solve further hyperbolic notch-singularity interaction problems. In this paper, the interaction of a parabolic notch with a generalized singularity is studied and its analytical solution is derived. The generalized singularity may represent a concentrated force or an edge dislocation. As an example, the parabolic notch interacting with a dislocation is studied in details, and the driving force on the dislocation due to the notch configuration is obtained in terms of the vector J-integral. It is found that a dislocation-free zone may exist beneath the notch root surface. The solutions developed in this study give, on the one hand, basic information about the state of stress induced in the notch neighborhood, and, on the other hand, can be used as building blocks to model damage at the notch root under complex load conditions.