WIT Press

A Higher-order Finite Element To Model Singularities

Price

Free (open access)

Paper DOI

10.2495/DM000481

Pages

10

Size

674 kb

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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