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Abstract

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

Keywords

Perfectly elastic materials new exact nonlinear waves neo-Hookean elastic solid shear longitudinal and torsional waves

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New Families of Exact Nonlinear Waves for the Neo-Hookean Finite Elastic Solid

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