Viscometric flow of an incompressible elastoviscoplastic material in the presence of lubricant on the boundary surfaces

A. A. Burenin ; L. V. Kovtanyuk ; A. S. Ustinova

Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 43-55.

Résumé

Using a large deformations model generalized to the case of viscous properties of materials, we obtain analytic solutions to a number of quasistatic boundary value problems about viscometric flows of an elastoviscoplastic material in the gap between rigid coaxial cylindrical surfaces when, in a neighborhood of one of the rigid cylinders (both interior and exterior), there is a layer of elastic non-Newtonian lubrication and the conditions of rigid solder are fulfilled on the boundary surfaces. We study the conditions of the appearance of a flow in the lubricant layer and in the base material. We indicate the values of the maximum rotation speed under which the flow does not go over the lubricant layer.

Détail

Keywords: elasticity, viscoplasticity, large deformations, residual stresses.

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