Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves. (English) Zbl 0788.73025
The paper presents the propagation of nonlinear axisymmetric wave in compressible hyperelastic circular cylindrical rods made of homogeneous isotropic materials and subjected to axial-radial deformations. For the compressible Mooney-Rivlin material, the equations of motion are obtained using the Hamilton’s principle. The equations of motion are written in non-dimensional form. On the basis of the equation valid asymptotically for axial and radial displacements, the second-order solitary wave solutions are obtained.
Reviewer: V.Marinca (Timişoara)
MSC:
74J10 | Bulk waves in solid mechanics |
74B20 | Nonlinear elasticity |
74J20 | Wave scattering in solid mechanics |
Keywords:
homogeneous isotropic materials; axial-radial deformations; Mooney-Rivlin material; Hamilton’s principle; second-order solitary waveReferences:
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