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M.M. Abdel Wahab and G. De Roeck

Department of Civil Engineering, Catholic University, Leuven, Belgium

doi:10.4203/ccp.33.4.2

M.M. Abdel Wahab, G. De Roeck, "A Family of Elements to Model Power Type Singularity", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 109-115, 1995. doi:10.4203/ccp.33.4.2

Abstract

A new finite element family which contains a lamda singularity is developed. Three elements are derived; namely 3-noded, 4-noded, and 5-noded elements which are compatible with linear, quadratic, and cubic standard isoparametric finite elements, respectively. The elements are tested on two different examples. In the first example, an edge crack problem is analyzed using two different meshes and different integration orders. The second example is a crack perpendicular to the interface problem which is solved for different material properties and in turn different singularity order lamda. The results of those examples illustrate the efficiency of the proposed elements.

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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: 33 DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper IV.2 A Family of Elements to Model Power Type Singularity M.M. Abdel Wahab and G. De Roeck Department of Civil Engineering, Catholic University, Leuven, Belgium doi:10.4203/ccp.33.4.2 purchase the full-text of this paper Full Bibliographic Reference for this paper M.M. Abdel Wahab, G. De Roeck, "A Family of Elements to Model Power Type Singularity", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 109-115, 1995. doi:10.4203/ccp.33.4.2 Abstract A new finite element family which contains a lamda singularity is developed. Three elements are derived; namely 3-noded, 4-noded, and 5-noded elements which are compatible with linear, quadratic, and cubic standard isoparametric finite elements, respectively. The elements are tested on two different examples. In the first example, an edge crack problem is analyzed using two different meshes and different integration orders. The second example is a crack perpendicular to the interface problem which is solved for different material properties and in turn different singularity order lamda. The results of those examples illustrate the efficiency of the proposed elements. 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 £78 +P&P)
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