The generalized Kuhn model of linear viscoelasticity

Mechanics of Time-Dependent Materials

Volumn 11, Issue 3-4, 2007, Pages 217-230

  Papoulia, Katerina D ^b   Panoskaltsis, Vassilis P ^a   Bahuguna, Saurabh ^c   Korovajchuk, Igor ^d  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

^c Simulia Great Lakes   (United States)

^d Sest Inc   (United States)

Author keywords

Asphalt concrete; Dissipative material; Fractional derivative model; Logarithmic model; Rheological representation; Viscoelasticity

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; LINEAR EQUATIONS; MATHEMATICAL MODELS; RHEOLOGY;

ASPHALT CONCRETES; DISSIPATIVE MATERIALS; FRACTIONAL DERIVATIVE MODELS; LOGARITHMIC MODELS; RHEOLOGICAL REPRESENTATION;

VISCOELASTICITY;

EID: 41149092382     PISSN: 13852000     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11043-007-9044-3     Document Type: Article

References (7)

1. Cerni, G.: Influence of the conditioning time on the rheological properties of bitumens at intermediate temperatures: loading time-temperature-conditioning time superposition principle. Road Mater. Pavement Des. 2(4), 379-401 (2001)
2. Dietrich, L., Lekszycki, L., Turski, K.: Problems of identification of mechanical characteristics of viscoelastic composites. Acta Mech. 126, 153-167 (1998)
3. Golden, J.M., Graham, G.A.C.: Boundary Value Problems in Linear Viscoelasticity. Springer, Berlin (1988)
4. Kuhn, W., Kunzle, O., Preissmann, A.: Relaxationszeitspektrum elastizitat und viskositat von kautschuk. Helv. Chim. Acta 30, 307-328, 464-486 (1947)
5. Lubliner, J., Panoskaltsis, V.P.: The modified Kuhn model of linear viscoelasticity. Int. J. Solids Struct. 29(24), 3099-3112 (1992)
6. Papoulia, K.D., Panoskaltsis, V.P., Korovajchuk, I., Kurup, N.V.: Rheological representation of fractional derivative models in linear viscoelasticity. Rheol. Acta (2008, submitted)
7. Royden, H.L.: Real Analysis, 3rd edn. Macmillan, New York (1988)