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2013 A Generalized Version of a Low Velocity Impact between a Rigid Sphere and a Transversely Isotropic Strain-Hardening Plate Supported by a Rigid Substrate Using the Concept of Noninteger Derivatives
Abdon Atangana, O. Aden Ahmed, Necdet Bıldık
Abstr. Appl. Anal. 2013(SI50): 1-9 (2013). DOI: 10.1155/2013/671321

Abstract

A low velocity impact between a rigid sphere and transversely isotropic strain-hardening plate supported by a rigid substrate is generalized to the concept of noninteger derivatives order. A brief history of fractional derivatives order is presented. The fractional derivatives order adopted is in Caputo sense. The new equation is solved via the analytical technique, the Homotopy decomposition method (HDM). The technique is described and the numerical simulations are presented. Since it is very important to accurately predict the contact force and its time history, the three stages of the indentation process, including (1) the elastic indentation, (2) the plastic indentation, and (3) the elastic unloading stages, are investigated.

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Abdon Atangana. O. Aden Ahmed. Necdet Bıldık. "A Generalized Version of a Low Velocity Impact between a Rigid Sphere and a Transversely Isotropic Strain-Hardening Plate Supported by a Rigid Substrate Using the Concept of Noninteger Derivatives." Abstr. Appl. Anal. 2013 (SI50) 1 - 9, 2013. https://doi.org/10.1155/2013/671321

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1364.74039
MathSciNet: MR3039156
Digital Object Identifier: 10.1155/2013/671321

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI50 • 2013
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