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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 22
ADVANCES IN FINITE ELEMENT TECHNIQUES 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 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
Abstract
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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