Growth induced instabilities in a circular hyperelastic plate

Mehta, Sumit and Raju, Gangadharan and Saxena, Prashant (2021) Growth induced instabilities in a circular hyperelastic plate. International Journal of Solids and Structures, 226-22. p. 111026. ISSN 00207683

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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.

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IITH Creators:
IITH CreatorsORCiD
Raju, GangadharanUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Compound matrix method; Growth; Nonlinear elasticity; Stability analysis
Subjects: Physics > Mechanical and aerospace
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: . LibTrainee 2021
Date Deposited: 09 Aug 2021 04:33
Last Modified: 09 Aug 2021 04:33
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