Rheological modeling with Hookean bead-spring cubes (SC, BCC and FCC)

Journal of Engineering Mathematics

Volumn 34, Issue 1-2, 1998, Pages 75-95

  Denneman, A I M ^a   Jongschaap, R J J ^a   Mellema, J ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Bead spring cubes; Dynamic moduli; Relaxation spectra; Rheology

Indexed keywords

EQUATIONS OF MOTION; FRICTION; MATHEMATICAL MODELS; RELAXATION PROCESSES; RHEOLOGY; SHEAR FLOW; TENSORS; TOPOLOGY;

DYNAMIC MODULI; HOOKEAN BEAD-SPRING CUBES; RELAXATION SPECTRA;

NEWTONIAN FLOW;

NEWTONIAN FLUID; POLYMER; RHEOLOGY; SOLVENT;

EID: 0032128516     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1007/978-94-017-1564-5_5     Document Type: Article

References (12)

1. A. I. M. Denneman and R. J. J. Jongschaap, A bead-spring model incorporating cyclic structures, non-equal springs and beads with non-equal friction coefficients. J. of Rheol. 40 (1996) 589-612.
2. F. Harary, Graphical enumeration problems. In: F. Harary (ed.), Graph Theory and Theoretical Physics. London: Academic Press (1967) 1-41.
3. A. Dolan and J. Aldous, Networks and Algorithms: An Introductory Approach. Chichester: John Wiley & Sons (1993) 544 pp.
4. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis. Cambridge: Cambridge University Press (1991) 607 pp.
5. P. J. Davis, Circulant Matrices. New York: John Wiley & Sons (1979) 250 pp.
6. R. B. Bird, C. F. Curtiss, R. C, Armstrong, and O. Hassager, Dynamics of Polymeric Liquids: Kinetic Theory (vol. 2). New York: Wiley-Interscience (second ed., 1987) 437 pp.
7. P. E. Rouse. Jr., A theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J. of Chem. Phys. 21 (1953) 1272-1280.
8. H. Kramers, Het gedrag van macromoleculen in een stromende vloeistof. Physica 11 (1944) 1-19.
9. B. van der Vorst, E. M. Toose, D. van den Ende, R. J. J. Jongschaap, and J. Mellema, Generalized Rouse model for a dilute solution of clustered polymers. Rheologica Acta 34 (1995) 274-280.
10. R. L. Sammler and J. L. Schrag, Bead-Spring Model Predictions of Solution Dynamics for Flexible Homopolymers Incorporating Long-Chain Branches and/or Rings. (Tech. Rep. 113). Wisconsin-Madison: Rheology Research Center (1987) 57 pp.
11. R. L. Sammler and J. L. Schrag, Bead-spring model predictions of solution dynamics for flexible homopolymers incorporating long-chain branches and/or rings. Macromolecules 21 (1988) 1132-1140.
12. R. L. Sammler and J. L. Schrag, Predictions of the ability of solution dynamics experiments to characterize long-chain structure in flexible homopolymers. Macromolecules 21 (1988) 3273-3285.