A plate with a pre-existent through crack is considered under the action of a remote bending moment and a remote in-plane force. The problem statement is reduced to the solution of two coupled integral equations with strongly singular kernels. The independent variables in the latter equations are th
Sixth order analysis of crack closure in bending of an elastic plate
โ Scribed by F. S. Heming
- Publisher
- Springer Netherlands
- Year
- 1980
- Tongue
- English
- Weight
- 838 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1573-2673
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โฆ Synopsis
The bending of a rectangular, elastic plate containing a central, through crack is analyzed. Results are obtained numerically via a finite element analysis based on the assumptions of Mindlin sixth order plate theory. A special feature of the analysis is the modeling of crack face interference, or closure, at the compression surface of the plate. Results are presented for two cases, one that includes the effects of closure and one that does not, and comparisons are made with prior results based on Kirchhoff theory. It is shown that proper modeling of the boundary conditions is essential for obtaining accurate, credible results and that the effects of closure are significant and must be included when demanded by the actual physical situation.
๐ SIMILAR VOLUMES
Based on the classical plate theory in conjunction with the assumption of line contact at the compressive edge of a crack face, closed form solutions were presented for a through-the-thickness central crack in an infinite plate subjected to all around bending. The complete solutions were obtained by