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Comparison of
series and finite difference solutions to remote tensile
loadings of a plate having a linear slot with rounded
ends
David J. Unger |
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Vol. 15 (2020), No. 3, 361–378
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Abstract |
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Plane stress linear elastic solutions are obtained for a straight slot with rounded ends subject to remotely applied tensile tractions. The series solutions are obtained using a Kolosov–Muskhhelishvili complex variable approach together with an expansion technique developed extensively by G. N. Savin. The finite difference solutions employ an orthogonal curvilinear coordinate system and simulate loads applied at infinity using finite boundaries that are large in comparison to the slot length. The slot shape is similar to the geometry found in the D. Riabouchinsky free streamline problem for fluid flow around two flat plates. Both uniaxial loadings normal to the slot and uniform biaxial loadings are examined. |
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Keywords
stress concentration factor, Riabouchinsky free streamline
problem
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Milestones
Received: 27 December 2019
Revised: 30 March 2020
Accepted: 18 April 2020
Published: 12 July 2020
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Authors |
| David J. Unger | |
| Department of Mechanical and Civil
Engineering University of Evansville 1800 Lincoln Avenue Evansville, IN 47722 United States |
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