On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction

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...

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Main Author: Kazakov Konstantin S.
Format: Article
Language:English
Published: Society for Materials and Structures testing of Serbia 2020-01-01
Series:Građevinski Materijali i Konstrukcije
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/2217-8139/2020/2217-81392001003X.pdf
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author Kazakov Konstantin S.
author_facet Kazakov Konstantin S.
author_sort Kazakov Konstantin S.
collection DOAJ
description 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.
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spelling doaj.art-d3e55621d962449689a41c87930619a72022-12-22T02:34:53ZengSociety for Materials and Structures testing of SerbiaGrađevinski Materijali i Konstrukcije2217-81392335-02292020-01-01631382217-81392001003XOn a multi-wave elastodynamical quadrilateral infinite element for soil structure interactionKazakov Konstantin S.0VSU "Luben Karavelov", Department of Structural Mechanics, Sofia, BulgariaIn 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.https://scindeks-clanci.ceon.rs/data/pdf/2217-8139/2020/2217-81392001003X.pdfwave propagationinfinite elementsfinite element methodsoil-structure interaction
spellingShingle Kazakov Konstantin S.
On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction
Građevinski Materijali i Konstrukcije
wave propagation
infinite elements
finite element method
soil-structure interaction
title On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction
title_full On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction
title_fullStr On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction
title_full_unstemmed On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction
title_short On a multi-wave elastodynamical quadrilateral infinite element for soil structure interaction
title_sort on a multi wave elastodynamical quadrilateral infinite element for soil structure interaction
topic wave propagation
infinite elements
finite element method
soil-structure interaction
url https://scindeks-clanci.ceon.rs/data/pdf/2217-8139/2020/2217-81392001003X.pdf
work_keys_str_mv AT kazakovkonstantins onamultiwaveelastodynamicalquadrilateralinfiniteelementforsoilstructureinteraction