Abstract
The paper describes a new method for development of singular elements through optimal positioning of offset mid-side nodes using adjacent six- and eight-noded isoparametric elements. By joining the two elements to form a superelement, an attempt to rectify a known problem with existing approaches proves successful. Calculations are made to optimize the mid-side node positions and the relative size of the two elements for a wide range of singular orders. By way of example, the approach is applied to two different forms of singular stress field in a bimaterial joint in a three-point-bend test. Numerical solutions for the singular fields existing at both ends of the material interface compare favourably with those obtained with the more usual refined mesh approach. Copyright © 2001 John Wiley & Sons, Ltd.
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