Analysis of Identification Methods for the Viscoelastic Properties of Materials
A complete solution of the constitutive equations for a viscoelastic material described by Burgers model is presented under various initial conditions. Possibilities to determine the viscoelastic properties of materials for various loading patterns of a specimen are pointed out. Test results on asphalt mixture obtained under various loads and strain rates are discussed. Creep, cyclic deformations and constant strain rate loading are found to enable the viscoelastic properties to be determined in different ranges of strain rates. The obtained results of these types of tests provide a consistent spectrum of these properties as functions of the initial strain rates.
References
W.N.FINDLEY, J.S.LAI, K.ONARAN, Creep and relaxation of nonlinear viscoelastic materials, North-Holland 1976.
W.DERSKI, S.ZIEMBA, Analysis of rheological models [in Polish], PWN, Warszawa 1968.
W.FLÜGGE, Viscoclasticity, Springer-Verlag, Berlin, N. York 1975.
W.NOWACKI, Creep theory [in Polish], Arkady, Warszawa 1963.
D.R.BLAND, E.H.LEE, On the determination of a viscoelastic model for stress analysis of plastics, J. Appl. Mech., 23, 3, 1956.
W.POGORZELSKI, Mathematical analysis, vol.III [in Polish], PWN, Warszawa 1956.
M.L.WILLIAMS, Structural analysis of viscoelastic materials, AIAA Journal, 2, 5, 1964.
J.ZAWADZKI, Evaluation of deformability of mineral-asphalt mixtures on the basis of creep tests [in Polish], Prace Inst. Bad. Dróg i Mostów, 1, 1985.
JALAL VAKILI, Determination of nonlinear viscoelastic properties of asphalt-concrete by a simple experimental procedure, Res Mechanica, 14, 2, 1985.
D.M.NORRIS, W.YOUNG, Complex modulus measurement by longitudinal vibration testing, Exp. Mech., 2, 93-96, 1970.
G.W.LAIRD, H.B.KINGSBURY, A method of determining complex moduli of viscoelastic materials, Exp. Mech., 3, 126-131, 1973.
N.DISTÉFANO, On the identification problem in linear viscoelasticity, ZAMM, 11, 683-690, 1970.
T.LEKSZYCKI, N.OLHOFF, J.J.PEDERSEN, Modelling and identification of viscoelastic properties of vibrating sandwich beams, Int. J. Camp. Struct., 1992.
L.DIETRICH, K. TURSKI, Analysis of methods for identification of material constants for viscoelastic materials [in Polish], Prace IPPT 28/91, Warszawa 1991.
M.KALABIŃSKA, J.PIŁAT, Effects of modifiers on deformability of asphalts and asphaltic concretes [in Polish], Drogownictwo, 12, 266-268, 1987.