Design for structural integrity requires an appre-ciation of where stress singularities can occur in structuralconfigurations.While there is a rich literature devoted to theidentification of such singular behavior in ...Design for structural integrity requires an appre-ciation of where stress singularities can occur in structuralconfigurations.While there is a rich literature devoted to theidentification of such singular behavior in solid mechanics,to date there has been relatively little explicit identificationof stress singularities caused by fluid flows.In this study,stress and pressure singularities induced by steady flows ofviscous incompressible fluids are asymptotically identified.This is done by taking advantage of an earlier result thatthe Navier-Stokes equations are locally governed by Stokesflow in angular corners.Findings for power singularities areconfirmed by developing and using an analogy with solidmechanics.This analogy also facilitates the identification offlow-induced log singularities.Both types of singularity arefurther confirmed for two global configurations by applyingconvergence-divergence checks to numerical results.Eventhough these flow-induced stress singularities are analogousto singularities in solid mechanics,they nonetheless rendera number of structural configurations singular that were notpreviously appreciated as such from identifications withinsolid mechanics alone.展开更多
文摘Design for structural integrity requires an appre-ciation of where stress singularities can occur in structuralconfigurations.While there is a rich literature devoted to theidentification of such singular behavior in solid mechanics,to date there has been relatively little explicit identificationof stress singularities caused by fluid flows.In this study,stress and pressure singularities induced by steady flows ofviscous incompressible fluids are asymptotically identified.This is done by taking advantage of an earlier result thatthe Navier-Stokes equations are locally governed by Stokesflow in angular corners.Findings for power singularities areconfirmed by developing and using an analogy with solidmechanics.This analogy also facilitates the identification offlow-induced log singularities.Both types of singularity arefurther confirmed for two global configurations by applyingconvergence-divergence checks to numerical results.Eventhough these flow-induced stress singularities are analogousto singularities in solid mechanics,they nonetheless rendera number of structural configurations singular that were notpreviously appreciated as such from identifications withinsolid mechanics alone.
