A modified Zener model of a viscoelastic body

Continuum Mechanics and Thermodynamics

Volumn 14, Issue 2, 2002, Pages 137-148

  Atanackovic, Teodor M ^a,b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036011705     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001610100056     Document Type: Article

References (11)

1. Samko SG, Kilbas AA, Marichev OI (1993) Fractional Integrals and Derivatives. Gordon and Breach, Amsterdam
2. Oldham KB, Spanier J (1974) The fractional Calculus. Academic Press, New York
3. Bagley RL, Torvik PJ (1986) On the Fractional Calculus Model of Viscoelastic Behavior. Journal of Rheology, 30, 133-155
4. Lion A (1997) On the Thermodynamics of fractional damping elements. Continuum Mech. Thermodyn., 9, 83-96
5. Pirtz T (1996) Analysis of Four-parameter Fractional derivative model of Real solid Materials. Journal of Sound and Vibrations, 195, 103-115
6. Papoulia K-D, Kelly JM (1997) Visco-Hyperelastic Model for Filled Rubbers Used in Vibration Insolation. Journal of Engineering Materials and Technology (Transactions of the ASME), 119, 292-297
7. Podlubny I (1994) Solution of Linear Fractional Differential equations with constant coefficients. In Transform Methods and Special functions, P. Rusev, I. Dimovski, and V. Kiryakova Editors. Science Press, Sofia, pp. 227-237
8. Gorenflo R, Mainardi F (1997) Fractional calculus: Integral and Differential Equations of Fractional order. In: Carpinteri A, Mainardi F (eds) Fractals and Fractional Calculus in Continuum Mechanics, Springer, Wien, p. 223-276
9. Erdelyi A (1955) Higher transcendental functions. McGraw-Hill, New York
10. Gorenflo R, Luchko Y, Rogozin S (1997) Mittag-Leffler type functions: notes on growth properties and distributions of zeros. Preprint A-04/97 Fachbereich Mathematik und Informatik, Freie Universifät, Berlin
11. Doetsch G (1967) Anleitung zum praktischen Gebrauch der Laplace - Transformation und der Z Transformation. R. Oldenbourg, München