"Wrinkling in growing hyperelastic annular plates"

In this work, we have investigated the mechanical instability in an isotropic hyperelastic growing annular plate subjected to traction on the inner and the outer edge. A three-dimensional system under finite strain with general traction condition is formulated using a variational approach for an incompressible annular plate. The system is reduced to a two-dimensional plate system using series expansion in terms of thickness variable and corresponding governing equations are obtained. These equations are solved for axisymmetric deformations and growth conditions - both radial and circumferential direction in the incompressible hyperelastic material. The aim of this work is to demonstrate the effect of growth and loading conditions on the wrinkling behavior of annular plates subjected to large deformation during contraction. The stability analysis is performed by perturbing the homogeneous system with small parameters and analyze the onset of instability in a growing region. The results obtained are applicable to skin wrinkling during wound healing and buckling patterns induced during swelling of gels.