A Formulation Of A Multi-wave Elastodynamic
Infinite Element
Author(s)
K. Kazakov
Abstract
In this paper, a formulation of a multi-wave elastodynamic four and eight node
infinite element is proposed. Such a kind of element is appropriate for
multi-wave soil-structure interaction problems. The formulation follows the
standard infinite element formulation steps which are the same as for the Finite
element method after mapping the infinite element domain to a finite element
domain. It is shown that if only one wave function is used (only one frequency)
the proposed multi-wave elastodynamic infinite element is reduced to a singlewave
elastodynamic infinite element.
The mapping and the Lagrange isoparametric shape functions for a 2D
axisymmetric four and eight node multi-wave elastodynamic quadrilateral
infinite element are also given. The basic aspects of the continuity along the
finite/infinite element (artificial boundary) line are discussed in brief. In this type
of model such a line marks the boundary between the near and the far field of the
model.
The formulation is appropriate for wave propagation problems only.
Keywords: wave propagation, infinite elements, finite element method,
soil-structure interaction.
1 Introduction
This section is devoted to the review of the historical background of infinite
elements from the original works to the latest contribution. Exterior domain
scattering problems appear in many engineering fields such as electrodynamics,
magnetics, fluid and thermal analyses and so on. Wave propagation in an elastic
infinite media and scattering of waves on bodies in a fluid which extends
Keywords
wave propagation, infinite elements, finite element method,soil-structure interaction.
Related Book
Other papers in this volume
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