Giesekus, H. A unified approach to a variety of constitutive models for polymer fluids based on the concept of configuration-dependent molecular mobility. (English) Zbl 0513.76009 Rheol. Acta 21, 366-375 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 Documents MSC: 76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena 76A10 Viscoelastic fluids 76F10 Shear flows and turbulence Keywords:multi-mode models; entangled network structures; constitutive models for polymer fluids; configuration-dependent tensorial drag coefficient or tensorial mobility; motion of structural elements of molecules; elastic tractions; isotropic; simple upper convected Maxwell model; shear modulus; relaxation time; present or history; non-isotropic; finite extensional viscosity; shear thinning; non-disappearing second normal- stress difference; nonlinear relaxation; stress-overshoot; transient shear flows; one-mode models; isometric and non-isometric mobility PDFBibTeX XMLCite \textit{H. Giesekus}, Rheol. Acta 21, 366--375 (1982; Zbl 0513.76009) Full Text: DOI References: [1] Giesekus, H., Rheol. Acta5, 29-35 (1966). [2] Bird, R. B., O. Hassager, R. C. Armstrong, C. F. Curtiss, Dynamics of polymeric liquids, Vol. 2: Kinetic theory, Wiley (New York 1977). [3] De Gennes, P. G., J. Chem. Phys.55, 572-578 (1971). [4] Doi, M., S. F. Edwards, J. Chem. Soc., Faraday Trans. II,74, 1789-1801, 1802-1817, 1819-1832 (1978);75, 38-54 (1979). [5] Curtiss, C. F., R. B. Bird, J. Chem. Phys.74, 2016-2025, 2026-2033 (1981). [6] Dashner, P. A., W. E. VanArsdale, J. Non-Newtonian Fluid Mech.8, 59-67 (1981). · Zbl 0462.76005 [7] Leonov, A. I., Rheol. Acta15, 85-98 (1976). · Zbl 0351.73001 [8] Lodge, A. S., Trans. Faraday Soc.52, 120-130 (1956); Elastic liquids, Academic Press (New York 1964). [9] Kaye, A., Brit. J. Appl. Phys.17, 803-806 (1966). [10] Acierno, D., F. P. La Mantia, G. Marrucci, G. Titomanlio, J. Non-Newtonian Fluid Mech.1, 125-146 (1976). [11] Giesekus, H., The physical meaning of Weissenberg’s hypothesis with regard to the second normal-stress difference, in: J. Harris (ed.), The Karl Weissenberg 80th Birthday Celebration Essays, East African Literature Bureau (Campala, Nairobi, Dar Es Salaam 1973) pp. 103-112. [12] Giesekus, H., J. Non-Newtonian Fluid Mech.11, 69-109 (1982). · Zbl 0492.76004 [13] Giesekus, H., J. Non-Newtonian Fluid Mech. (submitted). [14] Leonov, A. I., A. N. Prokunin, Rheol. Acta19, 393-403 (1980). · Zbl 0457.76007 [15] Oldroyd, J. G., Proc. Royal Soc. London,A 245, 278-297 (1958). · Zbl 0080.38805 [16] Phan-Tien, N., R. I. Tanner, J. Non-Newtonian Fluid Mech.2, 353-365 (1977), N. Phan-Tien, J. Rheol22, 259-283 (1978). · Zbl 0361.76011 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.