In this paper, the problem of large axisymmetric deformation of hyperelastic membrane is reformulated on the basis of the general theory of finite elasticity.

Bifurcation and stability of asymmetric deformations of equal-biaxial stretching of a thin elastic square sheet was examined within the framework of finite elasticity.

Instability of asymmetric deformations of an incompressible thermo-hyperelastic spherical shell, subjected to internal pressure, is examined within the framework of finite elasticity.