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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 50
Edited by: B.H.V. Topping and M.B. Leeming
Paper I.2

A Novel Formulation of Infinite Elements

T.T. Abdel-Fattah*, H.A. Hodnod# and A.Y. Akl#

*Building Research Centre, Giza, Egypt
#Faculty of Engineering, Cairo University, Giza, Egypt

Full Bibliographic Reference for this paper
T.T. Abdel-Fattah, H.A. Hodnod, A.Y. Akl, "A Novel Formulation of Infinite Elements", in B.H.V. Topping, M.B. Leeming, (Editors), "Innovation in Computer Methods for Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 13-21, 1997. doi:10.4203/ccp.50.1.2
In this paper, a novel unique coordinate ascent mapping formulation for infinite elements. is developed. Reciprocal, exponential, and logarithmic are the decay types with which the proposed formulation is concerned. As a matter of generalisation, each decay type may be utilised through any optional decay pattern. An inherent characteristic in this postulated formulation is its capability of providing an arbitrary pole position, which is not given a due consideration in any of the earlier formulations. The mapping and shape functions for several two- and three-dimensional elements as well as a flow diagram for finite/infinite-element stiffness subroutine are presented. The proposed formulation is tested for a number of one-, two-, and three-dimensional infinite-domain problems.

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