Journal ArticleDOI
A Paradox on the Elastic Wedge Subjected to a Concentrated Couple and on the Jeffery‐Hamel Viscous Flow Problem
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This article is published in Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik.The article was published on 1985-01-01. It has received 19 citations till now. The article focuses on the topics: Wedge (geometry).read more
Citations
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Selected topics in the history of the two-dimensional biharmonic problem
Journal ArticleDOI
The wedge subjected to tractions: a paradox re-examined
TL;DR: In this article, the authors re-examine the paradox of the two-dimensional solution for the stress distribution in an elastic wedge loaded by a uniform pressure on one side of the wedge and obtain a solution which remains bounded as α approaches 235-5 and reproduces Dempsey's solution in the limit 235-6.
Journal ArticleDOI
Multiple root solutions, wedge paradoxes and singular stress states that are not variable-separable
Paul F. Joseph,Ningsheng Zhang +1 more
TL;DR: In this paper, a review of a class of solutions associated with the Williams (ASME J Appl Mech, 1952, 19, 526-528) eigenexpansion of the stress state in a composite wedge, that are not variable-separable is presented.
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Solutions for the anisotropic elastic wedge at critical wedge angles
Chyanbin Hwu,T. C. T. Ting +1 more
TL;DR: In this article, the authors present solutions for the anisotropic elastic wedge at critical wedge angles, which are in real form even though Stroh's complex formalism is employed.
Dissertation
Solutions to the anisotropic elastic wedges at critical wedge angles.
TL;DR: In this paper, the authors present solutions for the anisotropic elastic wedge at critical wedge angles, which are in real form even though Stroh's complex formalism is employed.
References
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Local similarity solutions and their limitations
H. K. Moffatt,Brian R. Duffy +1 more
TL;DR: In this paper, two problems exhibiting breakdown in local similarity solutions are discussed, and the appropriate asymptotic form of the exact solution is determined in each case, and an interesting conclusion for the Jeffery-Hamel problem is that inertia forces are of dominant importance throughout the flow field no matter how small the source Reynolds number 2Q/ν may be.
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The Wedge Under a Concentrated Couple: A Paradox in the Two-Dimensional Theory of Elasticity
Eli Sternberg,W. T. Koiter +1 more
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The wedge subjected to tractions: a paradox resolved
TL;DR: In this paper, the authors derived conditions which pre-determine the form of the necessary Airy stress function, and showed that inhomogeneous boundary conditions can induce stresses of O(r−ω), O( r−ω ln r), or O(ρ−ω rn2r) as r→0, depending on which conditions are satisfied.
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Lösung des Carothers‐Problems mittels Prinzipien der Kraftübertragung (Keil mit Moment an der Spitze)
TL;DR: In this article, an exact solution for the wedge under a concentrated couple given by Carothers is given by Sternberg-Koiter; however it furnishes little advantage for practical use.
Related Papers (5)
The Wedge Under a Concentrated Couple: A Paradox in the Two-Dimensional Theory of Elasticity
Eli Sternberg,W. T. Koiter +1 more