Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube
Axisymmetric radial oscillations of an infinitely long, hyperelastic cylindrical tube of Mooney-Rivlin material are considered. This leads to a nonlinear, second-order differential equation. By means of a Lie symmetry analysis nonlinear superposition can be applied in this case. Some approximate solution is also proposed.
scientific article; zbMATH DE number 1471619
scientific article