Bending Rigidity of an Inflated Circular Cylindrical Membrane of Rubbery Materials
A system of linear constitutive equations is presented for a class of deformation of membranes of rubbery materials characterized by smallness of strains and superimposed upon a known state of finite deformation. The equations are applied to an inflated circular cylindrical membrane subjected to pure bending. In the analysis, the wrinkling of the membrane is taken into account. The numerical results indicate that the bending rigidity of the inflated circular cylindrical membrane increases as the internal pressure increases, and that it is preserved substantially even after the wrinkling occurs if a relatively high internal pressure is applied.