Fractal two-level finite element method for cracked Kirchhoff's plates using DKT elements

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  • A. Y T Leung
  • R. K L Su


Original languageEnglish
Pages (from-to)703-711
Journal / PublicationEngineering Fracture Mechanics
Issue number5
Publication statusPublished - Jul 1996
Externally publishedYes


A technique for calculating moment intensity factors (MIF) and stress intensity factors (SIF) for through-thickness cracks in thin plates subjected to out-of-plane bending by means of fractal two-level finite element method is proposed. It is based on the nodal displacements transformation near the crack tip in terms of some analytical functions. The similarity characteristic properties of the plate element stiffness are employed. Fractal transformation technique is developed to transform infinitely many nodal displacements around the crack tip to a small set of generalized displacements including the MIF and SIF as direct unknowns. Examples are given on the centre cracked plates in bending. The results are in good agreement with analytical results and with other researchers. Comparison of the results from Kirchhoffs theory and from Reissner's plate theory shows large differences up to ca 50%. Copyright © 1996 Elsevier Science Ltd.