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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 22
Edited by: M. Papadrakakis and B.H.V. Topping
Paper II.1

A Novel Infinite Element in Three Dimensional Analysis

A.S. Bazaraa, A.Y. Akl and N.A. El-Esnawy

Structural Engineering Department, Cairo University, Giza, Egypt

Full Bibliographic Reference for this paper
A.S. Bazaraa, A.Y. Akl, N.A. El-Esnawy, "A Novel Infinite Element in Three Dimensional Analysis", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Finite Element Techniques", Civil-Comp Press, Edinburgh, UK, pp 87-98, 1994. doi:10.4203/ccp.22.2.1
Novel parametric infinite elements originally extending to infinity are presented. The proposed infinite elements have the merit of simulating various simple and compound decay patterns. First, one dimensional infinite elements are expounded. Then, generalization to derive higher dimensional infinite elements is outlined. The proposed infinite elements are integrated numerically - using the conventional Gauss-Legendre abscissae and weights after being modified for unbounded ranges. The performance of the proposed infinite elements is assessed by solving one-dimensional differential equation, the classical Boussinesq problem, and a soil-structure interaction problem.

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