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Shear-induced buckling of a thin elastic disk undergoing spin-up

Sader, John E. and Delapierre, Mélanie and Pellegrino, Sergio (2019) Shear-induced buckling of a thin elastic disk undergoing spin-up. International Journal of Solids and Structures, 166 . pp. 75-82. ISSN 0020-7683.

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The stability of a spinning thin elastic disk has been widely studied due to its central importance in engineering. While the plastic deformation and failure of an annular disk mounted on a rigid and accelerating circular shaft are well understood, shear-induced elastic buckling of the disk due to this ‘spin-up’ is yet to be reported. Here, we calculate this buckling behavior within the framework of the Föppl–von Kármán equations and give numerical results as a function of the disk’s aspect ratio (inner-to-outer radius) and Poisson’s ratio. This shows that shear-induced elastic buckling can dominate plastic failure in many cases of practical interest. When combined with existing theory for plastic failure, the results of the present study provide foundation results for a multitude of applications including the characterization of accelerating compact disks and deployment of space sails by centrifugal forces.

Item Type:Article
Related URLs:
URLURL TypeDescription
Sader, John E.0000-0002-7096-0627
Pellegrino, Sergio0000-0001-9373-3278
Additional Information:© 2019 Elsevier Ltd. Received 9 May 2018, Revised 6 January 2019, Accepted 16 January 2019, Available online 6 February 2019.
Classification Code:PACS: 68.37.Ps; 85.85.+j
Record Number:CaltechAUTHORS:20190208-125359102
Persistent URL:
Official Citation:John E. Sader, Mélanie Delapierre, Sergio Pellegrino, Shear-induced buckling of a thin elastic disk undergoing spin-up, International Journal of Solids and Structures, Volume 166, 2019, Pages 75-82, ISSN 0020-7683, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92798
Deposited By: Tony Diaz
Deposited On:10 Feb 2019 23:28
Last Modified:03 Oct 2019 20:48

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