caa a22 4500 605466343 CHVBK 20210128100306.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00397-015-0853-z doi (NATIONALLICENCE)springer-10.1007/s00397-015-0853-z Equibiaxial extension of a viscoelastic partially extending strand convection model with large relaxation time [Elektronische Daten] [Holly Grant, Yuriko Renardy] A combined numerical and asymptotic study is presented for a viscoelastic fluid, which behaves as a thixotropic yield stress fluid in the limit of large relaxation time. Homogeneous biaxial extension under a prescribed stress is addressed. The constitutive model is a viscoelastic partially extending strand convection model for the microstructure embedded in a Newtonian solvent. There are two important parameters: the ratio of yield stress to stress modulus and the ratio of retardation to relaxation times. The transient change that takes place if a configuration is stressed biaxially is investigated. Distinct asymptotic regimes are identified and governed by fast and slow time scales. Steady flow curves may be monotone or non-monotone, depending on the ratio of yield stress to stress modulus. In either case, a slow evolution of the apparent viscosity is found upon cessation of the applied stress. A regime where steady solutions exhibit extensional thickening in uniaxial extension, but not in biaxial extension, is consistent with prior observations. The von Mises criterion, which relates yield stresses in extension and shear, is retrieved for the special case of immediate yielding at low strain. Springer-Verlag Berlin Heidelberg, 2015 Viscoelasticity nationallicence Yield stress fluid nationallicence Non-Newtonian fluid dynamics nationallicence Thixotropy nationallicence Grant Holly Department of Mathematics, Virginia Polytechnic Institute and State University, 460 McBryde Hall, 225 Stranger Street, 24061-0123, Blacksburg, VA, USA aut Renardy Yuriko Department of Mathematics, Virginia Polytechnic Institute and State University, 460 McBryde Hall, 225 Stranger Street, 24061-0123, Blacksburg, VA, USA aut Rheologica Acta Springer Berlin Heidelberg 54/6(2015-06-01), 563-579 0035-4511 54:6<563 2015 54 397 https://doi.org/10.1007/s00397-015-0853-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00397-015-0853-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grant Holly Department of Mathematics, Virginia Polytechnic Institute and State University, 460 McBryde Hall, 225 Stranger Street, 24061-0123, Blacksburg, VA, USA aut NATIONALLICENCE 700 1- Renardy Yuriko Department of Mathematics, Virginia Polytechnic Institute and State University, 460 McBryde Hall, 225 Stranger Street, 24061-0123, Blacksburg, VA, USA aut NATIONALLICENCE 773 0- Rheologica Acta Springer Berlin Heidelberg 54/6(2015-06-01), 563-579 0035-4511 54:6<563 2015 54 397