Growth induced instabilities in a circular hyperelastic plate

Mehta, S., Raju, G. and Saxena, P. (2021) Growth induced instabilities in a circular hyperelastic plate. International Journal of Solids and Structures, 226-27, 111026. (doi: 10.1016/j.ijsolstr.2021.03.013)

Abstract

In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. Consistent two-dimensional governing equations for a plate under a general finite strain are derived using a variational approach. The derived plate equations are solved using the compound matrix method for two cases of axisymmetric growth conditions { purely radial, and combined radial and circumferential growth. The effect of growth on the buckling behaviour of the plate (in particular, the critical growth factor and the associated buckling mode shapes) is investigated for different thickness values. These results are applicable to model growth induced deformation in planar soft tissues such as skin.

• Item Type: Articles
• Additional Information: Prashant Saxena acknowledges the support of startup funds from the James Watt School of Engineering at the University of Glasgow.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Saxena, Dr Prashant
• Authors: Mehta, S., Raju, G., and Saxena, P.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal of Solids and Structures
• Publisher: Elsevier
• ISSN: 0020-7683
• ISSN (Online): 1879-2146
• Published Online: 18 March 2021
• Copyright Holders: Copyright © 2021 Elsevier
• First Published: First published in International Journal of Solids and Structures 226-227: 111026
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher