Closed-form solution for shock wave propagation in density-graded cellular material under impact

Density-graded cellular materials have tremendous potential in structural applications where impact resistance is required. Cellular materials subjected to high impact loading result in a compaction type deformation, usually modeled using continuum-based shock theory. The resulting governing differe...

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Autores principales:	Vijendra Gupta, Addis Kidane, Michael Sutton
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Functionally graded cellular material Analytical modeling Impact response Closed-form solution Energy absorption Density gradient Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/e5ff99b68f02405c8414ed19115b7b72
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spelling	oai:doaj.org-article:e5ff99b68f02405c8414ed19115b7b722021-11-30T04:15:40ZClosed-form solution for shock wave propagation in density-graded cellular material under impact2095-034910.1016/j.taml.2021.100288https://doaj.org/article/e5ff99b68f02405c8414ed19115b7b722021-07-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2095034921000957https://doaj.org/toc/2095-0349Density-graded cellular materials have tremendous potential in structural applications where impact resistance is required. Cellular materials subjected to high impact loading result in a compaction type deformation, usually modeled using continuum-based shock theory. The resulting governing differential equation of the shock model is nonlinear, and the density gradient further complicates the problem. Earlier studies have employed numerical methods to obtain the solution. In this study, an analytical closed-form solution is proposed to predict the response of density-graded cellular materials subjected to a rigid body impact. Solutions for the velocity of the impinging rigid body mass, energy absorption capacity of the cellular material, and the incident stress are obtained for a single shock propagation. The results obtained are in excellent agreement with the existing numerical solutions found in the literature. The proposed analytical solution can be potentially used for parametric studies and for effectively designing graded structures to mitigate impact.Vijendra GuptaAddis KidaneMichael SuttonElsevierarticleFunctionally graded cellular materialAnalytical modelingImpact responseClosed-form solutionEnergy absorptionDensity gradientEngineering (General). Civil engineering (General)TA1-2040ENTheoretical and Applied Mechanics Letters, Vol 11, Iss 5, Pp 100288- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Functionally graded cellular material Analytical modeling Impact response Closed-form solution Energy absorption Density gradient Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Functionally graded cellular material Analytical modeling Impact response Closed-form solution Energy absorption Density gradient Engineering (General). Civil engineering (General) TA1-2040 Vijendra Gupta Addis Kidane Michael Sutton Closed-form solution for shock wave propagation in density-graded cellular material under impact
description	Density-graded cellular materials have tremendous potential in structural applications where impact resistance is required. Cellular materials subjected to high impact loading result in a compaction type deformation, usually modeled using continuum-based shock theory. The resulting governing differential equation of the shock model is nonlinear, and the density gradient further complicates the problem. Earlier studies have employed numerical methods to obtain the solution. In this study, an analytical closed-form solution is proposed to predict the response of density-graded cellular materials subjected to a rigid body impact. Solutions for the velocity of the impinging rigid body mass, energy absorption capacity of the cellular material, and the incident stress are obtained for a single shock propagation. The results obtained are in excellent agreement with the existing numerical solutions found in the literature. The proposed analytical solution can be potentially used for parametric studies and for effectively designing graded structures to mitigate impact.
format	article
author	Vijendra Gupta Addis Kidane Michael Sutton
author_facet	Vijendra Gupta Addis Kidane Michael Sutton
author_sort	Vijendra Gupta
title	Closed-form solution for shock wave propagation in density-graded cellular material under impact
title_short	Closed-form solution for shock wave propagation in density-graded cellular material under impact
title_full	Closed-form solution for shock wave propagation in density-graded cellular material under impact
title_fullStr	Closed-form solution for shock wave propagation in density-graded cellular material under impact
title_full_unstemmed	Closed-form solution for shock wave propagation in density-graded cellular material under impact
title_sort	closed-form solution for shock wave propagation in density-graded cellular material under impact
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/e5ff99b68f02405c8414ed19115b7b72
work_keys_str_mv	AT vijendragupta closedformsolutionforshockwavepropagationindensitygradedcellularmaterialunderimpact AT addiskidane closedformsolutionforshockwavepropagationindensitygradedcellularmaterialunderimpact AT michaelsutton closedformsolutionforshockwavepropagationindensitygradedcellularmaterialunderimpact
_version_	1718406837126037504

Closed-form solution for shock wave propagation in density-graded cellular material under impact

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