Vol. 15, No. 3, 2020

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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

Vol. 15 (2020), No. 3, 361–378
Abstract

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.

Keywords
stress concentration factor, Riabouchinsky free streamline problem
Milestones
Received: 27 December 2019
Revised: 30 March 2020
Accepted: 18 April 2020
Published: 12 July 2020
Authors
David J. Unger
Department of Mechanical and Civil Engineering
University of Evansville
1800 Lincoln Avenue
Evansville, IN 47722
United States