Građevinski Materijali i Konstrukcije (Jan 2020)
On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction
Abstract
In this paper, a multi-wave elastodynamical quadrilateral infinite element is proposed. This kind of element is appropriate for multi-wave soil-structure interaction problem. The formulation is based on the standard steps which are the same as in the Finite element method after mapping the infinite to finite domain of the element. It is shown that in the case of only one wave function used in the formulation, only one frequency, the proposed multiwave elastodynamical infinite element is reduced as a special case to single-wave elastodynamical infinite element. In addition, the mapping and the Lagrangian isoparametric shape functions for a 2D axisymmetric four node multi-wave elastodynamical quadrilateral infinite element and for a 2D axisymmetric eight node multi-wave elastodynamical quadrilateral infinite element are given. The basic aspects of the C1 and the Cn continuity along the finite/infinite element (artificial boundary) line in two-dimensional substructure Soil-Structure Interaction problems are discussed. In this class of models such a line marks artificial boundary between the near and the far field of the model.
