Interaction of a parabolic notch with a generalized singularity

Ma, Lifeng; Hills, David A.

Abstract

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.

Citation

Ma, L., & Hills, D. A. (2022). Interaction of a parabolic notch with a generalized singularity. International Journal of Engineering Science, 176, Article 103685. https://doi.org/10.1016/j.ijengsci.2022.103685

• Journal Article Type: Article
• Acceptance Date: Apr 9, 2022
• Online Publication Date: Apr 14, 2022
• Publication Date: Jun 1, 2022
• Deposit Date: Jul 29, 2022
• Journal: International Journal of Engineering Science
• Print ISSN: 0020-7225
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 176
• Article Number: 103685
• DOI: https://doi.org/10.1016/j.ijengsci.2022.103685
• Keywords: General Engineering; Mechanics of Materials; General Materials Science; Mechanical Engineering
• Public URL: https://nottingham-repository.worktribe.com/output/9409378
• Publisher URL: https://www.sciencedirect.com/science/article/abs/pii/S002072252200057X