Comparison of series and finite difference solutions to remote tensile loadings of a plate having a linear slot with rounded ends

Unger, David J.

doi:10.2140/jomms.2020.15.361

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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

DOI: 10.2140/jomms.2020.15.361

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

Vol. 15, No. 3, 2020

David J. Unger

Abstract

Keywords

Milestones

Authors