Finite strip with rigid ends and edge notches

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2009

Author

Erözkan, Deniz

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This study considers a symmetrical finite strip with a length of 2L and a width of 2h containing two collinear edge cracks located at the center of the strip. Each edge crack has a width h–a. Two ends of the finite strip are bonded to two rigid plates through which uniformly distributed axial tensile loads of intensity p0 are applied. The finite strip is assumed to be made of a linearly elastic and isotropic material. For the solution of the finite strip problem, an infinite strip of width 2h containing two internal cracks of width b–a at y=0 and two rigid inclusions of width 2c at y=± L is considered. When the width of rigid inclusions approach the width of the strip, the portion of the infinite strip between the inclusions becomes identical with the finite strip problem. When the outer edges of the internal cracks approach the edge of the strip, they become edge cracks (notches). Governing equations are solved by using Fourier transform technique and these equations are reduced to a system of three singular integral equations. By using Gauss-Lobatto and Gauss-Jacobi integration formulas, these three singular integral equations are converted to a system of linear algebraic equations which is solved numerically.

Subject Keywords

Engineering., Analytic Mechanics.

URI

http://etd.lib.metu.edu.tr/upload/2/12610880/index.pdf
https://hdl.handle.net/11511/19003

Collections

Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

D. Erözkan, “Finite strip with rigid ends and edge notches,” M.S. - Master of Science, Middle East Technical University, 2009.