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Tytuł artykułu

Mathematical description of rheological properties of asphalt-aggregate mixes

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The procedure of the formulation of constitutive equations for asphalt-aggregate mixes is based very often on rheological schemes composed of classical elastic, plastic and viscous elements. The parameters of these schemes can be obtained based on laboratory experiments. In order to obtain better curve fitting results one can use non-classical viscoelastic elements described by fractional derivatives. In this paper we present the characteristics of the fractional viscoelastic Huet-Sayegh model as well as the characteristics of an original simplified fractional model. The results have been obtained using algorithms of numerical calculation of inverse Laplace transforms. Then the proposal of an original rheological model including plasticity has been given. The non-linear differential constitutive relationships of such a model are presented in the paper. The results of computer simulations are also visualized. Finally, 3D viscoelasticplastic models of asphalt aggregatemixes are proposed. The models are based on a generalized macroscopic theory taking into account the effect of pressure-dependency on yielding.
Rocznik
Strony
65--72
Opis fizyczny
Bibliogr. 20 poz., rys., tab.
Twórcy
autor
  • Faculty of Civil Engineering, Institute of Roads and Bridges, Warsaw University of Technology, 16 Armii Ludowej Ave., 00-637 Warsaw, Poland
Bibliografia
  • [1] J. Piłat and P. Radziszewski, Asphalt Pavements, Transport and Communication Publishers, Warsaw, 2003, (in Polish).
  • [2] J. Betten, Creep Mechanics, Springer, Berlin, 2005.
  • [3] D.R. Bland, The Theory of Linear Viscoelasticity, Pergamon Press, Oxford, 1960.
  • [4] W. Nowacki, Creep Theory, Arkady, Warsaw, 1963, (in Polish).
  • [5] Y.R. Kim, Modeling of Asphalt Concrete, ASCE Press, McGraw-Hill, New York, 2009.
  • [6] I. Podlubny, Fractional Differential Equations. Mathematics inScience and Engineering 198, Academic Press, London, 1999.
  • [7] T. Kaczorek, Selected Problems of Fractional Systems Theory, Springer Verlag, Berlin, 2011.
  • [8] W. Grzesikiewicz and A. Zbiciak, “Application of fractional order derivative for modelling of asphalt-aggregate mixtures”, Publishing House PAK 9, 1048-1051, (2011), (in Polish).
  • [9] J. Valsa and L. Brancik: “Approximate formulae for numerical inversion of Laplace transforms”, Int. J. Numer. Model. 11, 153-166 (1998).
  • [10] A. Zbiciak, “Dynamics of materials and structures with nonclassical elastic-dissipative characteristics”, Scientific Papers ofWarsaw Univ. of Technology, Civil Eng. 152, 1-156 (2010), (in Polish).
  • [11] A. Zbiciak, “Numerical analysis of dynamic behaviour of elastoplastic beams”, Archives of Civil Eng. 55 (3), 403-420 (2009).
  • [12] A. Zbiciak, “Dynamic analysis of pseudoelastic SMA beam”, Int. J. Mechanical Sciences 52 (1), 56-64 (2010).
  • [13] V.A. Lubarda, Elastoplasticity Theory, CRC, Boca Raton, 2002.
  • [14] J. Judycki, “Rheological models of asphalt concrete”, ScientificPapers of Gdansk Univ. of Technology 368, 123-145 (1984), (in Polish).
  • [15] N.S. Ottosen and M. Ristinmaa, The Mechanics of ConstitutiveModeling, Elsevier, Amsterdam, 2005.
  • [16] A. Zbiciak, “Application of elasto-visco-plastic constitutive model for asphalt pavement creep simulation”, Archives of CivilEng. 54 (3), 635-647 (2008).
  • [17] A. Zbiciak, “Constitutive modelling and numerical simulation of dynamic behaviour of asphalt-concrete pavement”, Eng. Trans. 56 (4), 311-324 (2008).
  • [18] L. Czarnecki, “Challenges of building materials engineering”, Eng. and Construction 64 (7), 404-408 (2008), (in Polish).
  • [19] J.M. Gonzáles, J. Miquel, S.H. Oller, and R. Miró, “A viscoplastic constitutive model with strain rate variables for asphalt mixtures’ numerical simulation”, Comp. Materials Science 38, 543-560 (2007).
  • [20] C. Desai, “Unified DSC constitutive model for pavement materials with numerical implementation”, Int. J. Geomech. 7, 83-101 (2007).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0098-0012
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