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M.S. Moftah, A.Y. Akl, N.A. El-Esnawy, "Systematic Mapping for Static Infinite Elements in Geomechanics", in G. De Roeck, B.H.V. Topping, (Editors), "Computational Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 197-207, 2000. doi:10.4203/ccp.71.9.3

Abstract

A systematic mapping for typical infinite elements in static problem is presented. The mapping functions are expressed in terms of a single generating function, and conditions for selecting this function are given. New mapping features for infinite elements based on using polynomial and exponential generating functions are illustrated. It is shown that there is a critical positioning of element coordinates that cause the decay origin of displacements towards infinity to coincide with the pole of infinite elements. Otherwise, the decay origin and the pole are located at different places. The performance of the proposed mapped infinite elements is illustrated by considering three unbounded domain problems in geomechanics. The results indicate that these elements can provide practical numerical solutions.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 71 COMPUTATIONAL CIVIL AND STRUCTURAL ENGINEERING Edited by: G. De Roeck and B.H.V. Topping Paper IX.3 Systematic Mapping for Static Infinite Elements in Geomechanics M.S. Moftah, A.Y. Akl and N.A. El-Esnawy Faculty of Engineering, Cairo University, Giza, Egypt doi:10.4203/ccp.71.9.3 purchase the full-text of this paper Full Bibliographic Reference for this paper M.S. Moftah, A.Y. Akl, N.A. El-Esnawy, "Systematic Mapping for Static Infinite Elements in Geomechanics", in G. De Roeck, B.H.V. Topping, (Editors), "Computational Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 197-207, 2000. doi:10.4203/ccp.71.9.3 Abstract A systematic mapping for typical infinite elements in static problem is presented. The mapping functions are expressed in terms of a single generating function, and conditions for selecting this function are given. New mapping features for infinite elements based on using polynomial and exponential generating functions are illustrated. It is shown that there is a critical positioning of element coordinates that cause the decay origin of displacements towards infinity to coincide with the pole of infinite elements. Otherwise, the decay origin and the pole are located at different places. The performance of the proposed mapped infinite elements is illustrated by considering three unbounded domain problems in geomechanics. The results indicate that these elements can provide practical numerical solutions. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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