Air-cushioning in impact problems

Moore, M. R.; Ockendon, J. R.; Oliver, J. M.

Abstract

This paper concerns the displacement potential formulation of the post-impact influence of an air-cushioning layer on the 2D impact of a liquid half-space by a rigid body. The liquid and air are both ideal and incompressible and attention is focussed on cases when the density ratio between the air and liquid is small. In particular, the correction to classical Wagner theory is analysed in detail for the impact of circular cylinders and wedges.

Citation

Moore, M. R., Ockendon, J. R., & Oliver, J. M. (2013). Air-cushioning in impact problems. IMA Journal of Applied Mathematics, 78(4), 818-838. https://doi.org/10.1093/imamat/hxt026

• Journal Article Type: Article
• Acceptance Date: Apr 6, 2013
• Online Publication Date: May 12, 2013
• Publication Date: Aug 1, 2013
• Deposit Date: Nov 17, 2021
• Publicly Available Date: Feb 23, 2022
• Journal: IMA Journal of Applied Mathematics
• Print ISSN: 0272-4960
• Electronic ISSN: 1464-3634
• Publisher: Institute of Mathematics and its Applications
• Peer Reviewed: Peer Reviewed
• Volume: 78
• Issue: 4
• Pages: 818-838
• DOI: https://doi.org/10.1093/imamat/hxt026
• Keywords: Applied Mathematics
• Public URL: https://hull-repository.worktribe.com/output/3883130