Abstract
AbstractA new dimensionally reduced axisymmetric shell model is presented briefly for modeling time‐dependent problems. This is based on the extended version of the three‐field dual‐mixed variational formulation of elastostatics [1, 2] to linear elastodynamics, the independent fields of which are the non‐symmetric stress tensor, the displacement‐ and the rotation vector. An important property of the related shell model is that the classical kinematical hypotheses regarding the deformation of the normal to the shell middle surface are not used, i.e., unmodified three‐dimensional constitutive equations are applied. The computational performance of the new h‐ and p‐version axisymmetric shell finite elements is tested through a representative cylindrical shell problems. The development presented in this paper has been motivated by the fact that efficient dual‐mixed hp plate and shell finite elements were managed previously to be developed for elastostatics by [1‐5]. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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