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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 Materials with Couple Stress
IMA Journal of Applied Mathematics, 1971openaire +1 more source
Coupled Effective Stress and Internal Stress for Modelling Coal Permeability
SSRN Electronic Journal, 2022Huihui Liu +5 more
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Linear Elasticity with Couple Stresses
2010The linear couple-stress theory of Mindlin and Tiersten is reformulated allowing also for dislocations and disclinations. The governing equations are compiled in form of a Tonti diagram.
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