Air-cushioning in impact problems

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

doi:10.1093/imamat/hxt026

Air-cushioning in impact problems

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

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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. © The Authors 2013. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Original language	English (US)
Pages (from-to)	818-838
Number of pages	21
Journal	IMA Journal of Applied Mathematics
Volume	78
Issue number	4
DOIs	https://doi.org/10.1093/imamat/hxt026
State	Published - May 12 2013
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This work was supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST), an Engineering and Physical Sciences Research Council studentship (M.R.M.) and a Leverhulme Emeritus Fellowship (J.R.O.).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1093/imamat/hxt026

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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. {\textcopyright} The Authors 2013. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.",

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AB - 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. © The Authors 2013. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

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Air-cushioning in impact problems

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