DYNAMIC EXTENSION AND TWIST OF A NONLINEAR ELASTIC TUBE

The propagation of waves in a non-linear cylindrical elastic membrane is considered when one end is fixed and the other is subjected to a dy namic extension and twist. The governing equations are derived for a h yperelastic material with a general strain energy function. In order t o obtain specific results the equations are specialised to deal with n eo-Hookian materials and in this case we show that there are three rea l wave speeds in each direction along the cylinder. Numerical results are given and a limiting case considered which provides a check on the se results.