THE PATCHING IN NEO-HOOKEAN MEMBRANES

A nonlinearly elastic membrane is patched into the hole in an infinite membrane and then sufficient stretching is applied. A model of comple x variable for the general patching problem is developed in the contex t of finite plane stress theory. Neo-Hookean material is assumed for b oth membranes. Arbitrary initial configuration of the inner membrane a s well as that of the hole in infinite membrane may be simulated by tw o independent conformal mappings. A second approximation closed form s olution is obtained from successive substitutions. Two examples are de monstrated.