| 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. |
