Abstract
A three dimensional finite element technique for calculating stress intensity factors is presented. Sub-structuring is used to model the structure as a catenation of 20-node isoparametric elements so as to isolate a crack region (or depending on problem symmetries a portion of a crack region) by a simple 20 node element. This crack region is then modelled by means of a macro element which contains, a priori, a high density of nodes in the vicinity of the crack front and is compatible with the standard 20 node elements that it abutts. No special singular elements are used and virtually arbitrary three dimensional geometries can be accommodated. The stiffness derivative technique is used to compute the stress intensity factor. Numerical results for a cracked plate compare well with published results.
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