  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.
