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A singular finite element for analysis of plate bending problem in fracture mechanics

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Abstract

A triangular plate bending finite element is formulated by using the singular solutions, for point loads, of the plate bending equation. The element can be used as a conventional triangular bending element for thin plate analysis. Numerical results are given for both classical plate bending and mode III fracture mechanics problems.

Résumé

On présente la formulation d'un élément fini relatif à une flexion triangulaire d'une plaque en utilisant les solutions singulières de l'équation de flexion de la plaque soumise à des charges ponctuelles. L'élément peut être utilisé comme un élément conventionnel pour l'étude de la flexion triangulaire dans le cas de l'analyse de plaques minces. Des résultats numériques sont fournis dans les deux cas d'une flexion de plaque classique et de problèmes de mécanique de rupture suivant le mode III.

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Authors and Affiliations

  1. Northwestern Polytechnical University, Xi'an, Shaanxi, China

    T. Q. Ye (Visiting Professor, University of Arizona, Tucson, AZ 85721, USA)

  2. College of Engineering, University of Arizona, 85721, Tucson, AZ, USA

    Richard H. Gallagher

Authors
  1. T. Q. Ye
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  2. Richard H. Gallagher
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Ye, T.Q., Gallagher, R.H. A singular finite element for analysis of plate bending problem in fracture mechanics. Int J Fract 24, 137–147 (1984). https://doi.org/10.1007/BF00028057

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  • DOI: https://doi.org/10.1007/BF00028057

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