Viscosimetric flow of an incompressible elastoviscoplastic material under the presence of a lubricant on the boundary surfaces

• Published in: Journal of applied and industrial mathematics Vol. 6; no. 4; pp. 431 - 442
• Main Authors: Burenin, A. A., Kovtanyuk, L. V., Ustinova, A. S.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01-10-2012; Springer Nature B.V
• Subjects: Accounting; Adhesion; Boundary layer; Boundary value problems; Deformation; Elastoplasticity; Incompressible flow; Lubricants; Lubricants & lubrication; Lubrication; Mathematical analysis; Mathematical models; Mathematics; Mathematics and Statistics; Residual stress; Studies; Viscosity; viscoplasticity; large deformations; elasticity; residual stresses
• ISSN: 1990-4789; 1990-4797
• DOI: 10.1134/S1990478912040047

Generalizing the model of large deformations by accounting for the viscous properties of materials, we obtain the analytical solutions of some quasistatic boundary value problems concerning the viscosimetric flows of an elastoviscoplastic material in the gap between the rigid coaxial cylindrical surfaces when, in the neighborhood of one of the rigid cylinders (either internal or external), there is a layer of an elastic non-Newtonian lubricant, and the rigid adhesion conditions are satisfied on boundary surfaces. The conditions are studied of origination of a flow in the lubricant layer and in the basic material. The values of the maximum velocity are specified under which the flow does not tresspass the lubricant layer.