The three-field dual-mixed variational formulation of Hellinger-Reissner-type is extended to linear elastodynamic problems. A new dimensionally reduced shell model based on this principle for time-dependent analyzes of cylindrical shells is derived assuming axisymmetric boundary conditions and material properties. Independent variables of the shell model presented are the displacement vector, the a priori non-symmetric stress tensor and the skew-symmetric rotation tensor. The shell model developed does not rely on the classical kinematical hypotheses regarding the deformation of the normal to the shell mid-surface and, thus, uses unmodified three-dimensional constitutive equations.
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