Relating the relaxation spectrum to wave dispersion data

Journal of Non-Newtonian Fluid Mechanics

Volumn 124, Issue 1-3 SPEC. ISS., 2004, Pages 25-32

  Davies, A R ^a   Morgan, D ^a   Williams, P R ^b  

^a ABERYSTWYTH UNIVERSITY   (United Kingdom)

^b SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Group velocity; Phase velocity; Relaxation spectrum; Viscoelastic fluid; Wave dispersion

Indexed keywords

ALGORITHMS; DISPERSION (WAVES); INTEGRODIFFERENTIAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL MODELS; RELAXATION PROCESSES; SHEAR WAVES; VISCOELASTICITY; WAVE PROPAGATION;

GROUP VELOCITIES; INTEGRO-ALGEBRA SYSTEMS; RELAXATION SPECTRA; VISCOELASTIC FLUIDS;

NON NEWTONIAN LIQUIDS;

VELOCITY; VISCOELASTIC FLUID; WAVE PROPAGATION;

EID: 10244252768     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.07.012     Document Type: Article

References (14)

1. P.R. Williams D.J.A. Williams The influence of wave dispersion characteristics on the determination of mechanical relaxation spectra J. Rheol. 38 1994 1211-1226
2. R.W. Whorlow Rheological Techniques 1992 Ellis Horwood London
3. R.S. Anderssen A.R. Davies Simple moving-average formulae for the direct recovery of the relaxation spectrum J. Rheol. 45 2001 1-27
4. M. Baumgaertel H.W. Winter Determination of discrete relaxation and retardation time spectra from dynamic mechanical data Rheol. Acta 28 1989 511-519
5. C. Carrot V. Verney Determination of a discrete relaxation spectrum from dynamic experimental data using the Pade-Laplace method Eur. Polymer. J. 32 1996 69-77
6. L. Emri N.W. Tsehoegi Generating line spectra from experiment responses. Part 2. Storage and loss functions Rheol. Acta 32 1993 311-321
7. J. Honerkamp J. Weese Determination of the relaxation spectrum by a regularization method Macromolecules 22 1989 4372-4377
8. J. Honerkamp J. Weese Tikhonov's regularization method for ill-posed problems Continuum Mech. Thermodym. 2 1990 17-30
9. J. Honerkamp J. Weese A nonlinear regularization method for the calculation of relaxation spectra Rheol. Acta 32 1993 65-73
10. N. Orbey J.M. Dealy Determination of the relaxation spectrum from oscillatory shear data J. Rheol. 35 1991 1035-1049
11. S.M.F.D. Syed Mustapha T.N.A. Phillips dynamic nonlinear regression method for the determination of the discrete relaxation spectrum. J. Phys. D: Appl. Phys. 33 2000 1219-1229
12. Y.G. Yanovsky Y. Basistov D.A. Siginer Linear inverse problems in viscoelastic continua and a minimax method for Fredholm integral equations of the first kind Int. J. Eng. Sci. 34 1996 1231-1245
13. N.W. Tschoegl The Phenomenological Theory of Linear Viscoelastic Behaviour: An Introduction 1989 Springer-Verlag Berlin
14. H.C. Booij G.P.J.M. Thoone Generalization of Kramers-Krönig transforms and some approximations of relations between viscoelastic quantities Rheol. Acta 21 1982 15-24