Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical Projectiles

A first-principles-based model is presented for calculating the hole diameter resulting from the normal hypervelocity impact of a spherical aluminum projectile on a thin aluminum plate. One-dimensional shock theory is used to predict the creation and attenuation of Hugoniot pressures along the plate...

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Main Authors: William H. Jolly, William P. Schonberg
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-1997-45-608
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author William H. Jolly
William P. Schonberg
author_facet William H. Jolly
William P. Schonberg
author_sort William H. Jolly
collection DOAJ
description A first-principles-based model is presented for calculating the hole diameter resulting from the normal hypervelocity impact of a spherical aluminum projectile on a thin aluminum plate. One-dimensional shock theory is used to predict the creation and attenuation of Hugoniot pressures along the plate surface. Pressures are translated into the plate thickness by calculating intersecting positions of advancing shock fronts and centered-fan rarefaction waves. The radial position at which the shock pressure equals a predetermined value is defined to be the hole diameter. The model was calibrated by determining this critical value for aluminum-an-aluminum impacts using several hundred data points. A residuals analysis indicated some inherent problems with the model. Two empirical factors were added to account for thin plate and two-dimensional shock dissipation effects. The predictions of the adjusted model are shown to compare well with predictions of several empirical hole diameter models.
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institution Kabale University
issn 1070-9622
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language English
publishDate 1997-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-392aff8b25964172bb854548f59488ce2025-02-03T01:33:22ZengWileyShock and Vibration1070-96221875-92031997-01-0145-637939010.3233/SAV-1997-45-608Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical ProjectilesWilliam H. Jolly0William P. Schonberg1Civil & Environmental Engineering Department, The University of Alabama in Huntsville, Huntsville, AL 35899, USACivil & Environmental Engineering Department, The University of Alabama in Huntsville, Huntsville, AL 35899, USAA first-principles-based model is presented for calculating the hole diameter resulting from the normal hypervelocity impact of a spherical aluminum projectile on a thin aluminum plate. One-dimensional shock theory is used to predict the creation and attenuation of Hugoniot pressures along the plate surface. Pressures are translated into the plate thickness by calculating intersecting positions of advancing shock fronts and centered-fan rarefaction waves. The radial position at which the shock pressure equals a predetermined value is defined to be the hole diameter. The model was calibrated by determining this critical value for aluminum-an-aluminum impacts using several hundred data points. A residuals analysis indicated some inherent problems with the model. Two empirical factors were added to account for thin plate and two-dimensional shock dissipation effects. The predictions of the adjusted model are shown to compare well with predictions of several empirical hole diameter models.http://dx.doi.org/10.3233/SAV-1997-45-608
spellingShingle William H. Jolly
William P. Schonberg
Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical Projectiles
Shock and Vibration
title Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical Projectiles
title_full Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical Projectiles
title_fullStr Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical Projectiles
title_full_unstemmed Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical Projectiles
title_short Analytical Prediction of Hole Diameter in Thin Plates Due to Hypervelocity Impact of Spherical Projectiles
title_sort analytical prediction of hole diameter in thin plates due to hypervelocity impact of spherical projectiles
url http://dx.doi.org/10.3233/SAV-1997-45-608
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