caa a22 4500 475839900 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1023/A:1004785604635 doi (NATIONALLICENCE)springer-10.1023/A:1004785604635 Rheological behavior of a confined bead-spring cube consisting of equal Fraenkel springs [Elektronische Daten] [A.I.M. Denneman, R.J.J. Jongschaap, J. Mellema] A general bead-spring model is used to predict linear viscoelastic properties of a non-Hookean bead-spring cube immersed in a Newtonian fluid. This K×K×K cube consist of K 3 beads with equal friction coefficients and 3K 2(K−1) equal Fraenkel springs with lengthq. The cube has a topology based upon a simple cubic lattice and it is confined to a container of volume V s=(Kq)3. The confined cube is subjected to a small-amplitude oscillatory shear flow with frequency ω, where the directions of the flow velocity and its gradient coincide with two principal directions of the simple cubic bead-spring structure. For this flow field an explicit constitutive equation is obtained with analytical expressions for the relaxation times and their strengths. It is found that the resulting relaxation spectrum belonging to a K×K×K Fraenkel cube has the same shape as the one belonging to a 'stwo-dimensional' K×K cubic network consisting of equal Hookean springs. On the other hand, the dynamic moduli G′(ω) and G′′(ω) belonging to a K×KK Fraenkel cube appear to have the same frequency-dependency as the ones belonging to a 'sthree-dimensional' K×KK cube consisting of equal Hookean springs. Kluwer Academic Publishers, 2000 rheology nationallicence bead-spring cube nationallicence Fraenkel springs nationallicence relaxation spectra nationallicence dynamic moduli nationallicence Denneman A.I.M. Twente Institute of Mechanics, J.M.Burgers Centre for Fluid Dynamics Rheology Group, The Netherlands aut Jongschaap R.J.J. Twente Institute of Mechanics, J.M.Burgers Centre for Fluid Dynamics Rheology Group, The Netherlands aut Mellema J. Twente Institute of Mechanics, J.M.Burgers Centre for Fluid Dynamics Rheology Group, The Netherlands aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/2(2000-08-01), 219-232 0022-0833 38:2<219 2000 38 10665 https://doi.org/10.1023/A:1004785604635 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004785604635 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Denneman A.I.M. Twente Institute of Mechanics, J.M.Burgers Centre for Fluid Dynamics Rheology Group, The Netherlands aut NATIONALLICENCE 700 1- Jongschaap R.J.J. Twente Institute of Mechanics, J.M.Burgers Centre for Fluid Dynamics Rheology Group, The Netherlands aut NATIONALLICENCE 700 1- Mellema J. Twente Institute of Mechanics, J.M.Burgers Centre for Fluid Dynamics Rheology Group, The Netherlands aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/2(2000-08-01), 219-232 0022-0833 38:2<219 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer