Abstract
The phenomenon of melt fracture occuring in the process of polymer extrusion (see Tordella, 1963) has attracted the attention of research workers in the past two decades. In order to understand the mechanisms which might give rise to this phenomenon, the behaviour of perturbations of plane Couette flow of viscoelastic fluids with fading memory has been studied by various authors. Among them are Coleman & Gurtin (1968) who proposed and studied the formation of shear shocks and Dunwoody (1970), who took a similar view, but incorporated heating effects. Slemrod (1978, 1979) also considered the physical conditions necessary to produce the existence of non-smooth solutions to the perturbation problem, and proposed a further mechanism for instability based on the proposition that the shear stress in the basic flow is not a convex function of the shear rate (see J. L. Ericksen (1975)).
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This paper is dedicated to J. L. Ericksen on the occasion of his 60th birthday
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© 1986 Springer-Verlag Berlin Heidelberg
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Dunwoody, J., Joseph, D.D. (1986). Systematic Linearization for Stability of Shear Flows of Viscoelastic Fluids. In: The Breadth and Depth of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61634-1_19
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DOI: https://doi.org/10.1007/978-3-642-61634-1_19
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