Journal article

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

John E Sader, Melanie Delapierre, Sergio Pellegrino

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | PERGAMON-ELSEVIER SCIENCE LTD | Published : 2019

Abstract

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 p..

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University of Melbourne Researchers

Grants

Awarded by Australian Research Council Centre of Excellence in Exciton Science


Funding Acknowledgements

The authors thank Debadi Chakraborty for interesting discussions and acknowledge support from the Australian Research Council Centre of Excellence in Exciton Science (CE170100026), the Australian Research Council Grants Scheme and the Northrop Grumman Corporation.