Abstract
A numerical methodology for predicting the linear anisotropic viscoelastic behavior of bodies that can be uniquely described in cylindrical coordinates is devised. The methodology is an extension of the Fourier-finite element method and is based on a combination of finite element discretization in the radial and longitudinal directions and Fourier decomposition in the angular direction. The proposed method is capable of handling inhomogeneous polar-orthotropic viscoelastic material properties. In general, the method provides dimensional reduction in the finite element formulation, which leads to a reduction in the complexity of the numerical model including the meshing process. Overall, the method is shown to be competent mainly because of the efficient exploitation of the angular description of the geometry and the properties distribution. A numerical example is given for the analysis of an orthotropic viscoelastic ring under asymmetric shear loading.
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