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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 33
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

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
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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