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Growth induced instabilities in a circular hyperelastic plate
S. Mehta, , P. Saxena
Published in Elsevier Ltd
2021
Volume: 226-227
   
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. © 2021 Elsevier Ltd
About the journal
JournalData powered by TypesetInternational Journal of Solids and Structures
PublisherData powered by TypesetElsevier Ltd
ISSN00207683