On 1D-Instabilities in Simple Shear and Extensional Flows As Predicted by Some Maxwell-Like Constitutive-Equations
One-dimensional (1D) instabilities, some of them of new type, were found in simple shear and simple elongation for Giesekus, Leonov, and Larson viscoelastic constitutive equations (CEs) with single relaxation mode. Whereas 1D instabilities in shear flow were found for all three CEs, only the Larson model manifested some ID instabilities (and even nonexistence of solution) in simple extensional flows.
Journal of Rheology
Kwon, Y. and Leonov, Arkadii I., "On 1D-Instabilities in Simple Shear and Extensional Flows As Predicted by Some Maxwell-Like Constitutive-Equations" (1992). College of Polymer Science and Polymer Engineering. 74.