Analysis of inflation deformation of knitted fabrics by the theory of elastic membrane

This study examined the applicability of the theory of elastic membranes to the inflation deformation of knitted fabrics. Membrane theory was developed originally for the inflation deformation of a uniform and isotropic rubber membrane. The theory was composed of several equations that related extension ratio and biaxial stress in the equilibrium state of a membrane. Those equations needed numerical analysis since they could not be solved analytically. Although knitted fabrics had mechanical anisotropy due to the directions of wale and cource, numerical analysis could be carried out when the biaxial stresses of fabrics were expressed by the involution equations of extension ratio. In experimentation, a knitted fabric layered on a rubber sheet was inflated spherically by air pressure, then internal pressure, and the deformation were measured. From the experimental results it was concluded that the membrane theory could predict the inflation deformation of knitted fabrics like the burst test, and so on.