Algorithm for determination of the damage characteristic (C-S) curve of asphalt mixtures
DOI:
https://doi.org/10.14295/transportes.v28i2.2163Keywords:
Asphalt Mixture, Fatigue, Viscoelastic Continuum Damage Model, C vs. S.Abstract
This paper presents the algorithm for calculating the damage characteristic curve obtained in direct tension tests taking into account sinusoidal controlled strain loading. The Viscoelastic Continuum Damage formulation is presented in a summarized form for the algorithm, in which the pseudo strain, at the instants associated to the observed stress, is calculated using the expression of the linear viscoelasticity stress under controlled strain testing. This facilitates subsequent treatment of the data to obtain the vs. curve. The proposed algorithm is simple to understand and easy to implement computationally. The algorithm was validated with the results of fatigue test simulations in three mixtures, which have indicated its potential.
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ALMEIDA, F. J. P (2019) Modelagem computacional de misturas asfálticas com a utilização do método dos elementos finitos, da teoria da viscoelasticidade linear e da mecânica do dano contínuo. 2019. 141 f. PhD Thesis, UFC-Brazil. http://www.repositorio.ufc.br/handle/riufc/40405 (In Portuguese language).
BABADOPULOS, L. F. A. L., FERREIRA. J. L. S., NASCIMENTO, L. A. H., SOARES, J. B., CASTELO BRANCO, V. T. F. (2016) Aging-effect incorporation into the fatigue-damage modelling of asphalt mixtures using the S-VECD Model. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001676
FERRY, Y. D. (1980) Viscoelastic properties of polymers. John Wiley & Sons, Inc, New York (1980). ISBN: 978-0-471-04894-7 J. Eng. Mech-ASCE, 116 (4) (1990), pp. 751-772. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:4(751)
KIM, Y. R. (2009) Modelling of asphalt concrete. ASCE Press and McGrawHill. ISBN: 9780071464628.
KIM, Y.R. and LITTLE, D. N. (1990) One-dimensional constitutive modeling of asphalt concrete. Journal of Engineering Mechanics. Volume 116. Issue 4, April 1990. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:4(751)
LAMBORN, M. J. and SCHAPERY, R. A (1993) An investigation of the existence of a work potential for fiber-reinforced plastic. Journal of Composite Materials. Volume 27. Issue: 4, page(s): 352-382. Issue published: April 1, 1993. https://doi.org/10.1177%2F002199839302700402
LEMAITRE, J. (1996) A course on damage mechanics. ISBN 978-3-642-18255-6. https://doi.org/10.1007/978-3-642-18255-6
NASCIMENTO, L.A.H. (2015) Implementation and validation of the viscoelastic continuum damage theory for asphalt mixture and pavement analysis in Brazil. PhD Thesis, North Carolina State University, Raleigh, North Carolina.
PAGEN, C. A. (1965) Rheological response of bituminous concrete. In Highway Research Record 67, HRB, National Research Council, Washington, D.C., 1965, pp. 1–26.
PARK, S.W.; KIM, Y. R.; SCHAPERY, R.A. (1996) A viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete. Mechanics of Material, V. 24, pp. 241-255. DOI: 10.1016/S0167-6636(96)00042-7
SCHAPERY, R. A. (1981) On viscoelastic deformation and failure behavior of composite materials with distributed flaws. Advances in Aerospace Structures and Materials - AD-01, ASME, New York, pp. 5-20.
SCHAPERY, R. A. (1994) Nonlinear viscoelastic constitutive equations for composite materials based on work potentials. Proceedings 12th congress of applied mechanics (ed. Kobayashi), Appl. Mech. Rev., 47. DOI: 10.1115/1.3124421
SCHAPERY, R.A. (1984) Correspondence principles and a generalized j integral for large deformation and fracture analysis of viscoelastic media. Int. J. Fracture., 25, 195-223. https://doi.org/10.1007/BF01140837
SOUZA, R. C. (2018) Avaliação do dano por fadiga em misturas asfálticas finas através de ensaios dinâmicos uniaxiais. Master Thesis. PUC-Brazil (in Portuguese language).
UNDERWOOD, B., KIM, Y., SAVADATTI, S., THIRUNAVUKKARASU, S., GUDDATI, M. (2009) Response and fatigue performance modeling of ALF pavements using 3-d finite element analysis and a simplified viscoelastic continuum damage model. In: Asphalt Paving Technology: Association of Asphalt Paving Technologists-Proceedings of the Technical Sessions. [S.l.: s.n.], 2009. v. 78, p. 829–868.
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