Sat, 26 Jul 2008 00:29:15 BST CiteULike: norris Wegner http://www.citeulike.org/user/norris/author/Wegner CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/norris/article/2761068 <i>Mathematics and Mechanics of Solids, Vol. 9, No. 1. (1 February 2004), pp. 81-95.</i><br /><br />For the perfectly elastic neo-Hookean material, two well known partial solutions are extended to produce new families of exact nonlinear waves. For plane strain deformations, new results are presented for longitudinal and shear waves, while for axially symmetric defornations incorporating torsion, new results are presented for longitudinal and torsional waves. The plane dynamic deformations also apply to the more general Mooney strain-energy function, while the solutions given for the axially symmetric dynamic deformations incorporating torsion can be similarly deternined for the Mooney material, except that the details are far more complicated and involve elliptic functions. Both families of solutions are illustrated graphically 10.1177/1081286503035200 New Families of Exact Nonlinear Waves for the Neo-Hookean Finite Elastic Solid James Hill JL Wegner doi:10.1177/1081286503035200 Mathematics and Mechanics of Solids, Vol. 9, No. 1. (1 February 2004), pp. 81-95. 2008-05-06T13:06:22-00:00 2004 Mathematics and Mechanics of Solids 9 1 81 95 no-tag