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On Diffusion of Vorticity in Couple Stress Fluid
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1988The objective of the present paper is to examine the influence of polar effects on the diffusion of vorticity in couple stress fluids represented by Stokes' constitutive equations. In particular, the diffusion of a line vortex filament, the flow in a double array of vortices and the flow in the wake behind a two-dimensional grid are studied.
Bujurke, N. M. +2 more
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Couple Stresses and More General Stresses
1978Let dσ λ (u λ dσ λ = 0) represent the infinitesimal spatial oriented surface dσ through the event point E (or x ρ ) in the world tube WC of body C—cf. (24.1). We consider the forces exerted by the matter elements contiguous to the negative face of dσ on those contiguous to the positive one.
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Affiliative Responses to External Stress in Couples
2022Can stress ever be good for romantic relationships? Although it is well-established that stress can harm relationships (Karney & Bradbury, 1995; Randall & Bodenmann, 2009), stress may also bring people closer together (Taylor, 2011b). Specifically, recent research and theory suggest that when people experience acute and chronic stress that ...
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On Incremental Deformations of Initially Stressed Media with Couple Stresses
Journal of the Franklin Institute, 1978Abstract A two-dimensional theory for the incremental deformations of an initially stressed continuum with couple stresses is established in this paper. As applications of theory, the problems of internal instability and wave propagation are studied. It is found that the otherwise non-dispersive waves become dispersive, and additional local modes of ...
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1970
In the mechanics of particles it is usually proved that a system of forces, say f (1),f (2),...,f (n) acting on a system of particles M1,...,Mn may be reduced to the resultant force (6.1) and to the resultant couple, which is defined with respect to a pole 0 by the expression (6.2) where r i are position vectors of the particles ...
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In the mechanics of particles it is usually proved that a system of forces, say f (1),f (2),...,f (n) acting on a system of particles M1,...,Mn may be reduced to the resultant force (6.1) and to the resultant couple, which is defined with respect to a pole 0 by the expression (6.2) where r i are position vectors of the particles ...
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Dynamics of a Couple‐Stress Fluid Membrane
Studies in Applied Mathematics, 1984This work concerns the dynamics of a two‐dimensional (surface) fluid membrane which resists bending in a manner reminiscent of elastic shells. Such bending stiffness can arise from the molecular structure of the membrane, the molecules being treated as “directors” oriented normal to the surface.
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Stress functions for plane problems with couple stresses
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1966Die Losung der zweidimensionalen Gleichgewichtsbedingungen fur ein Kontinuum, das Spannungsmomente aufnehmen kann, wird mit Hilfe von willkurlichen Spannungsfunktionen gegeben. Die Spannungsfunktionen werden mit Hilfe der resultierenden Einzelkraft und des resultierenden Momentes gedeutet, welche durch einen Bogen im Korper ubertragen werden.
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A Uniqueness Theorem on Couple-Stress Theory of Fluids
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1983Existence and uniqueness of solution for the three-dimensional exterior problem is established by first proving a reciprocal theorem which is then used to obtain an integral representation for the velocity vector in terms of fundamental solutions for both bounded and unbounded domains. This representation then yields the uniqueness.
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Dislocations in Couple‐Stress Elasticity
Journal of Mathematics and Physics, 1966Abstract : The equations of linear couple stress elasticity are used to find stress distributions due to the simple edge and screw dislocations in a hollow circular cylinder. The stress fields resulting from the edge dislocation are found to deviate considerably from their classical values as the radius of the dislocation core approaches the ...
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