Abstract
Design for structural integrity requires an appreciation of where stress singularities can occur in structural configurations. While there is a rich literature devoted to the identification of such singular behavior in solid mechanics, only of late has there been much in the way of corresponding identifications of flow-induced stress singularities in fluid mechanics. These recent asymptotic identifications are for a single incompressible viscous fluid: Here the asymptotic approach is extended to apply to a configuration entailing two such fluids. For this configuration, various specifications leading to power or log singularities are determined. These results demonstrate that flow-induced stress singularities can occur in a structural container at a location where no singularities are identified within solid mechanics alone.
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Sinclair G.B.: Stress singularities in classical elasticity—II: asymptotic identification. Appl. Mech. Rev. 57, 385–439 (2004)
Kondrat’ev V.A.: Asymptotic solution of the Navier–Stokes equations near the angular point of the boundary. J. Appl. Math. Mech. 31, 125–129 (1967)
Sinclair G.B., Chi S., Shih T.I.-P.: On the pressure and stress singularities induced by steady flows of incompressible viscous fluids. Acta Mech. Sin. 25, 451–462 (2009)
Dempsey J.P., Sinclair G.B.: On the singular behavior at the vertex of a bi-material wedge. J. Elast. 11, 317–327 (1981)
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Sinclair, G.B. On the pressure and stress singularities induced by steady flows of a pair of nonmiscible, incompressible, viscous fluids in contact with a wall. Acta Mech Sin 26, 669–673 (2010). https://doi.org/10.1007/s10409-010-0366-z
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DOI: https://doi.org/10.1007/s10409-010-0366-z