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Structural Engineering and Mechanics
  Volume 42, Number 3, May10 2012, pages 353-362
DOI: http://dx.doi.org/10.12989/sem.2012.42.3.353
 


Elastodynamic infinite elements based on modified Bessel shape functions, applicable in the finite element method
K.S. Kazakov

 
Abstract
    In this paper decay and mapped elastodynamic infinite elements, based on modified Bessel shape functions and appropriate for Soil-Structure Interaction problems are described and discussed. These elements can be treated as a new form of the recently proposed Elastodynamic Infinite Elements with United Shape Functions (EIEUSF) infinite elements. The formulation of 2D horizontal type infinite elements (HIE) is demonstrated, but by similar techniques 2D vertical (VIE) and 2D corner (CIE) infinite elements can also be formulated. It is demonstrated that the application of the elastodynamical infinite elements is the easier and appropriate way to achieve an adequate simulation including basic aspects of Soil-Structure Interaction. Continuity along the artificial boundary (the line between finite and infinite elements) is discussed as well and the application of the proposed elastodynamical infinite elements in the Finite Element Method is explained in brief. Finally, a numerical example shows the computational efficiency of the proposed infinite elements.
 
Key Words
    soil-structure interaction; wave propagation; infinite elements; finite element method; Bessel functions
 
Address
K.S. Kazakov: Department of Structural Mechanics, VSU, Sofia, Bulgaria
 

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