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Continuous relaxation spectrum - its advantages and methods of calculation

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Języki publikacji
EN
Abstrakty
EN
Some advantages in treating experimental data on viscoelastic properties of polymeric materials in terms of a continuous spectrum instead of generally used fitting these data by means of a discrete relaxation times spectrum were demonstrated. The proposed continuous spectrum of a power-like type contains only three adjustable parameters. They can be found from integral characteristics of viscoelastic material, such as instantaneous modules, Newtonian viscosity, areas under shear and normal stress relaxation curves. The proposed continuous spectrum correctly reflects main peculiarities of viscoelastic properties of real polymeric materials in a wide frequency range.
Rocznik
Strony
235--243
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
autor
Bibliografia
  • Baumgärtel M. and Winter H.H. (1989): Determination of the discrete relaxation and retardation time spectra from dynamic mechanical data. - Rheol. Acta, vol.28, No.6, pp.511-519.
  • Baumgärtel M. and Winter H.H. (1992): Interrelation between continuous and discrete relaxation time spectra. - J. Non-Newton. Fluid Mech., vol.44, No.1-2, pp.15-36.
  • Elser J.C., Honerkamp J. and Weese J. (1992): Using regularization methods for determination of relaxation and retardation spectra of polymeric liquids. - Rheol. Acta, vol.31, No.2, pp.161-174.
  • Emri I. and Tschoegl N.W. (1993): Generating line spectra from experimental responses, Part I. Relaxation modulus and creep compliance. - Rheol. Acta, vol.32, No.3, pp.311-312.
  • Ferry J.D. (1980): Viscoelastic Properties of Polymers. - New York, Wiley.
  • Gross B. (1953): Mathematical Structure of the Theories of Viscoelasticity. - Paris, Hermann.
  • Honerkamp J. (1989): Ill posed problems in rheology. - Rheol. Acta, vol.28, No.5, pp.363-371
  • Honerkamp J., Weese J. (1989): Determination of the relaxation spectrum by a regularization method. - Macromolecules, vol. 22, No.11, pp.4372-4377.
  • Jackson J, DeRosa M. and Winter H.H. (1994): Molecular weigh dependence of relaxation time spectra for the entanglement and flow behavior of monodisperse linear flexible polymers. - Macromolecules, vol.27, No.9, pp.2426-2471.
  • Malkin A.Ya. (1968): Normal stresses and relaxation spectra of polymeric systems (in French). - Rheol. Acta, vol.7, No.4, pp.335-340.
  • Malkin A.Ya. (1990): Some inverse problems in rheology leading to integral equations. - Rheol. Acta, vol.29, No.6, pp.512-518.
  • Malkin A.Ya. and Kuznetsov V.V. (2000): Linearization as a method for determining parameters of relaxation spectra. - Rheol. Acta, vol.39, No.3, pp.379-383.
  • Malkin A.Ya. and Masalova I. (2001): From dynamic modulus via different relaxation spectra to relaxation and creep functions. - Rheol. Acta, vol.40, No.3, pp.261-271.
  • Malkin A.Ya. (2002): The sense of a relaxation spectrum and methods for its calculation. - Vysokomol. Soedin. (Polymers - in Russian), vol.44, No.9, pp.1698-2005.
  • Sohn S. and Rajagopalan R. (2004): Miscorheology of model quasi-hard-sphere dispersions. - J. Rheol., vol.48, No.1, pp.117-142.Tschoegl N.W. (1989): The Phenomenological Theory of Linear Viscoelasticity. An Introduction. - Berlin: Springer.
  • Tschoegl N.W. and Emri I (1993): Generating line spectra from experimental responses, Part II. Storage and loss functions. - Rheol. Acta, vol.32, No.3, pp.322-327.
  • Vinogradov G.V. and Malkin A.Ya. (1989): Rheology of Polymers. - Berlin: Springer.
  • Winter H.H. (1997): Analysis of dynamic mechanical data: inversion into a relaxation time spectrum and consistency check. - J. Non-Newton, Fluid Mech., vol.68, No.2/3. pp.225-239.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0023-0013
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