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Cohesive Modeling of Fracture in Asphalt Mixtures at Low Temperatures

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Abstract

Low temperature cracking is the major distress observed in asphalt pavements in the northern US and Canada. In the past years fracture mechanics concepts were introduced to investigate the fracture properties of asphalt mixtures at low temperatures. In this paper the cohesive zone model (CZM) is used to describe the fracture behavior of asphalt mixtures at low temperatures and the interface element is used to numerically simulate the material response under monotonic loading. The simulation is calibrated with the experimental results from a newly proposed semi circular bend (SCB) test. A parametric analysis of the input material properties indicates that the tensile strength has a significant effect on the peak load in the SCB configuration, the modulus has a strong effect on the calculated stiffness of the SCB specimen, and the fracture energy influences the post-peak behavior of the asphalt mixtures. The calibrated numerical model was applied to simulate the low temperature cracking in a simplified asphalt pavement and to study the influence of these material parameters on the performance of asphalt pavements.

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References

  • American Association of State Highway and Transportation Officials (AASHTO). Designation T322-03, Standard Method of Test for Determining the Creep Compliance and Strength of Hot-Mix Asphalt (HMA) Using the Indirect Tensile Test Device, Standard Specifications for Transportation Materials and Methods of Sampling and Testing, Part 2B: Tests, 22nd Edition, 2003.

  • American Society for Testing and Materials, (1999). Standard test for indirect tension test for resilient modulus tests of bituminous mixtures (ASTM D4123-82). Annual book of ASTM Standards, Philadelphia, PA.

  • ABAQUS (2001). Standard User’s Manual, Version 6.2. Hibbitt, Karlsson & Sorensen Inc.

  • G.I. Barenblatt (1962) ArticleTitleThe mathematical theory of equilibrium of cracks in brittle fracture Advances in Applied Mechanics 7 55–129 Occurrence Handle26 #7213

    MathSciNet  Google Scholar 

  • Bazant, Z.P. and Planas, J. (1998). Fracture and Size Effect in Concrete and Other Quasibrittle Materials. CRC Press LLC.

  • T.R. Clyne X. Li M.O. Marasteanu E.L. Skok (2003) ArticleTitleDynamic Complex Modulus of Mn/ROAD Asphalt Mixtures Proceedings of the Canadian Technical Asphalt Association 68 123–146

    Google Scholar 

  • Darter, M.I. (1977). Design of zero-maintenance plain joined concrete pavement, volume 1. Rep. No. FHWA-RD-77-111, Federal Highway Administration, Washington D.C.

  • R. Day D.M. Potts (1994) ArticleTitleZero thickness interface elements – Numerical stability and application International Journal for Numerical and Analytical Methods in Geomechanics 18 689–708 Occurrence Handle10.1002/nag.1610181003

    Article  Google Scholar 

  • D.S. Dugdale (1960) ArticleTitleYielding of steel sheets containing slits Journal of the Mechanics and Physics of Solids 8 100–108 Occurrence Handle10.1016/0022-5096(60)90013-2

    Article  Google Scholar 

  • M. Elices G.V. Guinea J. Planas (1992) ArticleTitleMeasurement of the fracture energy using three-point bend tests: part 3 – influence of cutting the P-δ tail Materials and Structures 25 327–334

    Google Scholar 

  • H.F. Fromm W.A. Phang (1972) ArticleTitleA study of transverse cracking of bituminour pavements Proceedings of the Association of Asphalt Paving Technologists 41 383–423

    Google Scholar 

  • R. Hass F. Meyer G. Assaf H. Lee (1987) ArticleTitleA comprehensive study of cold climate airport pavement cracking Proceedings of the Association of Asphalt Paving Technologists 56 198–245

    Google Scholar 

  • A. Hillerborg M. Modeer P.E. Petersson (1976) ArticleTitleAnalysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements Cement Concrete Res. 6 773–782 Occurrence Handle10.1016/0008-8846(76)90007-7

    Article  Google Scholar 

  • X. Li (2005) Investigation of the Fracture Resistance of Asphalt Mixtures at Low Temperatures with a Semi Circular Bend (SCB) Test University of Minnesota Minneapolis, MN

    Google Scholar 

  • X. Li M.O. Marasteanu (2004) ArticleTitleEvaluation of the low temperature fracture resistance of asphalt mixtures using the semi circular bend test Journal of the Association of Asphalt Paving Technologists 73 401–426

    Google Scholar 

  • I.L. Lim I.W. Johnston S.K. Choi J.N. Boland (1994) ArticleTitleFracture testing of a soft rock with semi-circular specimens under three point bending. Part1-mode I International Journal of Rock Mechanics, Mining Science & Geomechanics Abstract 31 199–212

    Google Scholar 

  • V. Marker (1966) ArticleTitleIntroduction to non-traffic load associated cracking of asphalt pavements Proceedings of the Association of Asphalt Paving Technologists 35 239–247

    Google Scholar 

  • Y. Mi M. Crisfield G. Davies H.-B. Hellweg (1998) ArticleTitleProgressive delamination using interface elements Journal of Composite Materials 32 1246–1273

    Google Scholar 

  • Molenaar, J.M.M. and Molenaar, A.A.A. (2000). Fracture toughness of asphalt in the semi-circular bend test. Proc., 2nd Eurasphalt and Eurobitume Congress, Barcelona, Spain, 509–517.

  • K. Nam H. Bahia (2004) ArticleTitleEffect of binder and mixture variables on glass transition behavior of asphalt mixtures Journal of the Association of Asphalt Paving Technologists 73 89–120

    Google Scholar 

  • M. Ortiz A. Pandofi (1999) ArticleTitleFinite deformation irreversible cohesive elements for the three dimensional crack propagation analysis International Journal for Numerical Methods in Engineering 44 1267–1282 Occurrence Handle10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7

    Article  Google Scholar 

  • Paulino, G.H., Song, S.H. and Buttlar, W.G. (2004). Cohesive zone modeling of fracture in asphalt concrete. Proceedings of the 5th International Conference RILEM “Cracking in Pavements” in Limoges, May 4–8, 63–70.

  • Y.A. Roy R.H. Dodds SuffixJr. (2001) ArticleTitleSimulation of ductile crack growth in thin aluminum panels using 3-D surface cohesive elements International Journal of Fracture 110 21–45 Occurrence Handle10.1023/A:1010816201891

    Article  Google Scholar 

  • RILEM Technical Committee 50-FMC. (1985). Determination of the fracture energy of mortar and concrete by means of three-point bend tests on notched beams. Materials and Structures, No. 106, Jul–Aug 1985, 285–290.

  • R. Roque Z. Zhang B. Sankar (1999) ArticleTitleDetermination of crack growth rate parameters of asphalt mixtures using the Superpave IDT Journal of the Association of Asphalt Paving Technologists 68 404–433

    Google Scholar 

  • J. Schellekens R. Borst Particlede (1993) ArticleTitleOn the numerical integration of interface elements International Journal for Numerical Methods in Engineering 36 43–66 Occurrence Handle10.1002/nme.1620360104

    Article  Google Scholar 

  • W. Shen D.J. Kirkner (1999) ArticleTitleDistributed thermal cracking of AC pavement with frictional constraint Journal of Engineering Mechanics, ASCE 125 IssueIDMay 554–560

    Google Scholar 

  • Siegmund, T. and Brocks, W. (2000). Modeling crack growth in thin sheet aluminum alloys. In: Fatigue and Fracture Mechanics (edited by Halford, G.R. and Gallagher, J.R.), Vol. 25, ASTM STP 1220, American Society for Testing and Materials, Philadelphia, 358–379.

  • S. Stoffels F.D. Kwanda (1996) ArticleTitleDetermination of coefficient of thermal contraction of asphalt concrete using the resistance strain gage technique Journal of the Association of Asphalt Paving Technologists 65 73–98

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, University of Minnesota, 500 Pillsbury Dr. S.E., Minneapolis, MN, 55455, USA

    Xue Li & Mihai O. Marasteanu

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  1. Xue Li
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  2. Mihai O. Marasteanu
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Correspondence to Mihai O. Marasteanu.

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Li, X., Marasteanu, M.O. Cohesive Modeling of Fracture in Asphalt Mixtures at Low Temperatures. Int J Fract 136, 285–308 (2005). https://doi.org/10.1007/s10704-005-6035-8

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  • DOI: https://doi.org/10.1007/s10704-005-6035-8

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