Sequentially linearizable initial-boundary value problems for a neo-hookean cylinder

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Abstract

The sequential linearizabilities of some initial-boundary value problems for the plane-strain equations of motion of the neo-Hookean solid are studied. The initial-boundary value problems are formulated for a cylinder in plane-strain condition and subjected to shear and radial deformations or tractions on its inner and outer surfaces. The results obtained extend the previous concept about the sequential linearizability of the governing equations for the neo-Hookean solid to the sequential linearizability of initial-boundary value problems for the governing equations.

Keywords

  • Neo-Hookean solid
  • Nonlinear initial-boundary value problems

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