The effect of a stiffener on a cracked plate under bending |
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| Affiliation: | 1. Department of Medical Oncology, National Center for Tumor Diseases (NCT), University Hospital Heidelberg, Im Neuenheimer Feld 460, Heidelberg, Germany;2. Institute of Pathology, University Hospital Heidelberg, Im Neuenheimer Feld 224, Heidelberg, Germany;3. Molecular Urooncology, Department of Urology, University Hospital Heidelberg, Im Neuenheimer Feld 517, Heidelberg, Germany;4. Institute of Medical Biometry and Informatics, University of Heidelberg, Im Neuenheimer Feld 130, Heidelberg, Germany;5. Department of Urology, University Hospital Heidelberg, National Center for Tumor Diseases (NCT), Im Neuenheimer Feld 420, Heidelberg, Germany;6. Cancer Genome Research, German Cancer Research Center (DKFZ) and German Cancer Consortium (DKTK), Im Neuenheimer Feld 460, Heidelberg, Germany;7. Department of Radiation Oncology, University Hospital Heidelberg, Im Neuenheimer Feld 400, Heidelberg, Germany;8. Cancer Therapeutics Program and Department of Pathology, University of Pittsburgh School of Medicine, UPMC Hillman Cancer Center, 5117 Centre Avenue, Pittsburgh, USA;9. Precision Oncology of Urological Malignancies, Department of Urology, University Hospital Heidelberg, Im Neuenheimer Feld 517, Heidelberg, Germany |
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| Abstract: | In this study the problem of a stiffened plate containing a through-crack under uniform bending load is analyzed. The problem is formulated for a specially orthotropic material by using Reissner's plate theory. By using the Fourier integral transform technique the problem is reduced to a singular integral equation. This singular integral equation is then solved numerically by using Gȧuss-Chebyshev and Gauss-Jacobi quadrature formulas. The special case of the problem in which the crack tip terminates at the stiffener is also analyzed in order to assess the crack arrest effectiveness of the stiffener. The asymptotic stress state near the crack tip terminating at the stiffener is examined, and normalized Mode I stress intensity factors are tabulated. The results also include the effect of Poisson's ratio, stiffness constants and material orthotropy for specially orthotropic materials on the stress intensity factors. |
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