A Higher-order Finite Element To Model Singularities
Price
Free (open access)
Transaction
Volume
26
Pages
10
Published
2000
Size
674 kb
Paper DOI
10.2495/DM000481
Copyright
WIT Press
Author(s)
M.M. Abdel Wahab
Abstract
A higher-order two-dimensional finite element that can be used to model a general power type singularity is presented. The element is compatible with the standard 12-noded isoparametric elements. This leads to reducing the number of elements required to model a structure. In order to evaluate the accuracy of the developed element, two cracked-structures are analysed, namely, an edge crack and a crack perpendicular to the interface problem. The results obtained using the proposed element are compared with those obtained using other existing elements in the literature. Those comparisons demonstrate the superiority of the technique in reducing the number of elements and nodes required for accurate results. 1 Introduction In many fracture mechanics applications, the displacement at the crack tip may vary as r\ where r is the dis
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