caa a22 4500 605466645 CHVBK 20210128100308.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00397-015-0856-9 doi (NATIONALLICENCE)springer-10.1007/s00397-015-0856-9 Padé approximants for large-amplitude oscillatory shear flow [Elektronische Daten] [A. Giacomin, Chaimongkol Saengow, Martin Guay, Chanyut Kolitawong] Analytical solutions for either the shear stress or the normal stress differences in large-amplitude oscillatory shear flow, both for continuum or molecular models, often take the form of the first few terms of a power series in the shear rate amplitude. Here, we explore improving the accuracy of these truncated series by replacing them with ratios of polynomials. Specifically, we examine replacing the truncated series solution for the corotational Maxwell model with its Padé approximants for the shear stress response and for the normal stress differences. We find these Padé approximants to agree closely with the corresponding exact solution, and we learn that with the right approximants, one can nearly eliminate the inaccuracies of the truncated expansions. Springer-Verlag Berlin Heidelberg, 2015 Rheology nationallicence Nonlinear viscoelasticity nationallicence Oscillatory shear nationallicence Giacomin A. Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada aut Saengow Chaimongkol Polymers Research Group, Queen's University, K7L 3N6, Kingston, Ontario, Canada aut Guay Martin Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada aut Kolitawong Chanyut Mechanical and Aerospace Engineering Department, Polymer Research Center, King Mongkut's University of Technology North Bangkok, 10800, Bangkok, Thailand aut Rheologica Acta Springer Berlin Heidelberg 54/8(2015-08-01), 679-693 0035-4511 54:8<679 2015 54 397 https://doi.org/10.1007/s00397-015-0856-9 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/s00397-015-0856-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Giacomin A. Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada aut NATIONALLICENCE 700 1- Saengow Chaimongkol Polymers Research Group, Queen's University, K7L 3N6, Kingston, Ontario, Canada aut NATIONALLICENCE 700 1- Guay Martin Chemical Engineering Department, Queen's University, K7L 3N6, Kingston, Ontario, Canada aut NATIONALLICENCE 700 1- Kolitawong Chanyut Mechanical and Aerospace Engineering Department, Polymer Research Center, King Mongkut's University of Technology North Bangkok, 10800, Bangkok, Thailand aut NATIONALLICENCE 773 0- Rheologica Acta Springer Berlin Heidelberg 54/8(2015-08-01), 679-693 0035-4511 54:8<679 2015 54 397