IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n671321.html
   My bibliography  Save this article

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

Author

Listed:
  • Abdon Atangana
  • O. Aden Ahmed
  • Necdet Bıldık

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.

Suggested Citation

Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:671321
DOI: 10.1155/2013/671321
as

Download full text from publisher

File URL: https://doi.org/10.1155/2013/671321
Download Restriction: no
File URL: https://libkey.io/10.1155/2013/671321?utm_source=ideas
LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
---><---

More about this item

Statistics

Access and download statistics

Corrections

All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:671321. See general information about how to correct material in RePEc.

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

We have no bibliographic references for this item. You can help adding them by using this form .

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1155/4058 .

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.