Prediction of Dynamic Modulus and Phase Angle of Stone-Based Composites Using a Micromechanical Finite-Element Approach
Publication: Journal of Materials in Civil Engineering
Volume 22, Issue 6
Abstract
This paper presents a micromechanical finite-element (FE) model for predicting the viscoelastic properties (dynamic modulus and phase angle) of asphalt mixtures, typical stone-based composites. The two-dimensional (2D) microstructure of asphalt mixtures was captured by optically scanning the surface image of sectioned specimens. FE mesh of image samples was generated within each aggregate and asphalt mastic. Along the aggregate boundary, the FEs share the nodes to connect the deformation. The micromechanical FE model was accomplished by incorporating specimen microstructure and ingredient properties (viscoelastic asphalt mastic and elastic aggregates). The generalized Maxwell model was applied for viscoelastic asphalt mastic with calibrated parameters from nonlinear regression analysis of the mastic test data on dynamic modulus and phase angle. The displacement-based FE simulations were conducted on the numerical samples under sinusoidal cyclic loading. The predicted dynamic modulus and phase angle were compared favorably with the mixture test data over a frequency range. The simulation results of the asphalt mixture samples have good correlations with the numerical calibration of asphalt mastic specimens. These results indicate that the developed micromechanical FE model can provide a computational tool for predicting the global viscoelastic properties of asphalt mixtures with captured microstructure and ingredient properties. Additionally, this study can increase the mechanistic understanding of global viscoelastic properties of asphalt mixtures by linking their microstructure.
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Acknowledgments
The support of this research by the National Science Foundation under Grant Nos. NSF0701264 and NSF0900015 is gratefully appreciated. The writer thanks the help of Dr. Zhanping You and Mr. Shu Wei Goh of Michigan Technological University with the laboratory testing of asphalt mastic and mixture specimens.
References
ABAQUS. (2004). User’s manual, version 6.5, Hibitt, Karlsson and Sorenson, Pawtucket, R.I.
Abbas, A., Masad, E., Paapagiannakis, T., and Harman, T. (2007). “Micromechanical modeling of the viscoelastic behavior of asphalt mixtures using the discrete-element method.” Int. J. Geomech., 7(2), 131–139.
Abbas, A., Masad, E., Papagiannakis, T., and Shenoy, A. (2005). “Modelling asphalt mastic stiffness using discrete element analysis and micromechanics-based models.” Int. J. Pavement Eng., 6(2), 137–146.
Adhikari, S., and You, Z. (2008). “3D microstructural models for asphalt mixtures using x-ray computed tomography images.” Int. J. Pavement Res. Tech., 1(3), 94–99.
Bahia, H., Zhai, H., Bonnetti, K., and Kose, S. (1999). “Nonlinear viscoelastic and fatigue properties of asphalt binders.” Electron. J. Assoc. Asph. Paving Technol., 68, 1–34.
Bazant, Z. P., Tabbara, M. R., Kazemi, Y., and Pijaudier-Cabot, G. (1990). “Random particle simulation of damage and fracture in particulate or fiber-reinforced composites.” Damage Mechanics in Engineering Materials, Trans. ASME, J. Appl. Mech., 109, 41–55.
Budhu, M., Ramakrishnan, S., and Frantziskonis, G. (1997). “Modeling of granular materials: A numerical model using lattices.” Mechanics of deformation and flow of particulate materials, C. S. Chang, A. Misra, R. Y. Liang, and M. Babic, eds., Proc., McNu Conf., Trans. ASCE, Northwestern Univ., Evanston, Ill.
Buttlar, W. G., Bozkurt, D., Al-Khateeb, G. G., and Waldhoff, A. S. (1999). “Understanding asphalt mastic behavior through micromechanics (with discussion and closure).” J. Transportation Research Board, 1681, 157–169.
Buttlar, W. G., and Roque, R. (1996). “Evaluation of empirical and theoretical models to determine asphalt mixture stiffnesses at low temperatures (with discussion).” Electron. J. Assoc. Asph. Paving Technol., 65, 99–141.
Buttlar, W. G., and Roque, R. (1997). “Effect of asphalt mixture master compliance modeling technique on thermal cracking performance evaluation using superpave.” Proc., 8th Int. Conf. on Asphalt Pavements, University of Washington, Seattle, Wash., 1659–1669.
Buttlar, W. G., and You, Z. (2001). “Discrete element modeling of asphalt concrete: A micro-fabric approach.” J. Transportation Board, 1757, 111-118.
Chang, G. K., and Meegoda, J. N. (1997). “Micromechanical simulation of hot mixture asphalt.” J. Eng. Mech., 123(5), 495–503.
Chang, G. K., and Meegoda, J. N. (1999). “Micro-mechanic model for temperature effects of hot mixture asphalt concrete.” J. Trans. Res. Record, 1687, 95–103.
Christensen, R. M., and Lo, K. H. (1979). “Solutions for effective shear properties in three phase sphere and cylinder models.” J. Mech. Phys. Solids, 27, 315–330.
Collop, A. C., McDowell, G. R., and Lee, Y. (2004). Use of the distinct element method to model the deformation behavior of an idealized asphalt mixture, Taylor and Francis, London.
Collop, A. C., McDowell, G. R., and Lee, Y. (2007). “On the use of discrete element modelling to simulate the viscoelastic deformation behaviour of an idealized asphalt mixture.” Geomech. Geoeng., 2(2), 77–86.
Collop, A. C., McDowell, G. R., and Lee, Y. W. (2006). “Modeling dilation in an idealised asphalt mixture using discrete element modeling.” Granular Matter, 8(3–4), 175–184.
Dai, Q., and Sadd, M. H. (2004). “Parametric model study of microstructure effects on damage behavior of asphalt samples.” Int. J. Pavement Eng., 5(1), 19–30.
Dai, Q., Sadd, M. H., Parameswaran, V., and Shukla, A. (2005). “Prediction of damage behaviors in asphalt materials using a micromechanical finite-element model and image analysis.” J. Eng. Mech., 131(7), 668–677.
Dai, Q., Sadd, M. H., and You, Z. (2006). “A micromechanical finite element model for viscoelastic creep and viscoelastic damage behavior of asphalt mixture.” Int. J. Numer. Analyt. Meth. Geomech., 30, 1135–1158.
Dai, Q., and You, Z. (2007). “Prediction of creep stiffness of asphalt mixture with micromechanical finite element and discrete element methods.” J. Eng. Mech., 133(2), 163–173.
Dai, Q., and You, Z. (2008). “Micromechanical finite element framework for predicting viscoelastic properties of heterogeneous asphalt mixtures.” Mater. Struct., 41(6), 1025–1037.
Guddati, M. N., Feng, Z., and Kim, R. (2002). “Toward a micromechanics-based procedure to characterize fatigue performance of asphalt concrete.” Transportation Research Record. 1789, Transportation Research Board, Washington, D.C., 121–128.
Hashin, Z. (1965). “Viscoelastic behaviour of heterogeneous media.” ASME Trans. J. Appl. Mech., 9, 630–636.
Hashin, Z., and Shtrikman, S. (1963). “A variational approach to the theory of the elastic behaviour of multiphase materials.” J. Mech. Phys. Solids, 11(2), 127–140.
Kose, S., Guler, M., Bahia, H. U., and Masad, E. (2000). “Distribution of strains within asphalt binders in HMA using image and finite element techniques.” J. Trans. Res. Record, 1728, 21-27.
Liu, Y., Dai, Q., and You, Z. (2009). “Development of a viscoelastic model for discrete element simulation of asphalt mixtures.” J. Eng. Mech., 135(4), 324–333.
Masad, E. (2004). “X-ray computed tomography of aggregates and asphalt mixes.” Mater. Eval., 62(7), 775–783.
MediaCybernetics. (2006). Image-Pro Plus, V6.0, ⟨http://www.mediacy.com⟩.
Mora, P. (1992). “A lattice solid model for rock rheology and tectonics.” The Seismic Simulation Project Tech. Rep. No. 4, Institut de Physique du Globe, Paris, 3–28.
Mustoe, G. G. W., and Griffiths, D. V. (1998). “An equivalent model using discrete element method (DEM).” Proc., 12th ASCE Engineering Mechanics Conf., La Jolla, Calif.
Papagiannakis, A. T., Abbas, A., and Masad, E. (2002). “Micromechanical analysis of viscoelastic properties of asphalt concretes.” Transportation Research Record. 1789, Transportation Research Board, Washington, D.C., 113–120.
Rothenburg, L., Bogobowicz, A., and Hass, R. (1992). “Micromechanical modelling of asphalt concrete in connection with pavement rutting problems.” Proc., 7th Int. Conf. on Asphalt Pavements, Nottingham Univ., U.K., 230–245.
Sadd, M. H., Dai, Q., Parameswaran, V., and Shukla, A. (2004a). “Microstructural simulation of asphalt materials: Modeling and experimental studies.” J. Mater. Civ. Eng., 16(2), 107–115.
Sadd, M. H., Dai, Q., Parameswaran, V., and Shukla, A. (2004b). “Simulation of asphalt materials using finite element micromechanical model with damage mechanics.” Transportation Research Record. 1832, Washington, D.C., 86–95.
Sadd, M. H., and Gao, J. Y. (1997). “The effect of particle damage on wave propagation in granular materials.” Mechanics of deformation and flow of particulate materials, C. S. Chang, A. Misra, R. Y. Liang, and M. Babic, eds., Proc., McNu Conf., Trans. ASCE, Northwestern Univ., Evanston, Ill.
Sadd, M. H., Qiu, L., Boardman, W. G., and Shukla, A. (1992). “Modelling wave propagation in granular media using elastic networks.” Int. J. Rock Mechanics and Mining Sciences and Geomechanics, 29(2), 161–170.
Sepehr, K., Harvey, O. J., Yue, Z. Q., and El Hussein, H. M. (1994). “Finite element modelling of asphalt concrete microstructure.” Proc., 3rd Int. Conf. on Computer-Aided Assessment and Control Localized Damage, Udine, Italy, 225.
Shashidhar, N., Needham, S. P., Chollar, B. H., and Romero, P. (1996). “Prediction of the performance of mineral fillers in stone matrix asphalt.” Electron. J. Assoc. Asph. Paving Technol., 68, 222–251.
Sherrod, P. H. (2008). NLREG, nonlinear regression analysis program, ⟨www.nlreg.com⟩.
Stankowski, T. (1990). “Numerical simulation of failure in particle composite, computers and structures.” Computers and Structures, 44(1–2), 459-468.
Tashman, L., Wang, L. B., and Thyagarajan, S. (2007). “Microstructure characterization for modeling HMA behavior using imaging technology.” Road Mater. Pavement Des., 8(2), 207–238.
Trent, B. C., and Margolin, L. G. (1994). “Modeling fracture in cemented granular materials.” Geotech. Spec. Publ., GSP 43, 54–69.
Tschoegl, N. W. (1989). The phenomenological theory of linear viscoelastic behavior: An introduction, Springer, Berlin.
Ullidtz, P. (2001). “Distinct element method for study of failure in cohesive particulate media.” Transportation Research Record. 1757, Transportation Research Board, Washington, D.C., 127–133.
Wang, L., Frost, J. D., and Shashidhar, N. (2001). “Microstructure study of westrack mixes from x-ray tomography images.” J. Trans. Res. Record, 1767, 85–94.
Wang, L., Paul, H., Harman, T., and D'Angelo, J. (2004). “Characterization of aggregates and asphalt concrete using x-ray computerized tomography.” Electron. J. Assoc. Asph. Paving Technol., 73, 467–500.
Wang, Y., Wang, L., Harman, T. P., and Li, Q. (2007). “Noninvasive measurement of three-dimensional permanent strains in asphalt concrete with x-ray tomography imaging.” J. Transportation Research Board, 2005, 95–103.
You, Z. (2003). Development of a micromechanical modeling approach to predict asphalt mixture stiffness using discrete element method. UMI, Ann Arbor, Mich.
You, Z., Adhikari, S., and Dai, Q. (2008). “Three-dimensional discrete element models for asphalt mixtures.” J. Eng. Mech., 134(12), 1053-1063.
You, Z., Adhikari, S., and Kutay, M. E. (2009). “Dynamic modulus simulation of the asphalt concrete using the x-ray computed tomography images.” Mater. Struct., 42(5), 617–630.
You, Z., and Buttlar, W. G. (2004). “Discrete element modeling to predict the modulus of asphalt concrete mixtures.” J. Mater. Civ. Eng., 16(2), 140–146.
You, Z., and Buttlar, W. G. (2005). “Application of discrete element modeling techniques to predict the complex modulus of asphalt–aggregate hollow cylinders subjected to internal pressure.” J. Transportation Research Board, 1929, 218–226.
You, Z., and Buttlar, W. G. (2006). “Micromechanical modeling approach to predict compressive dynamic moduli of asphalt mixture using the distinct element method.” J. Transportation Research Board, 1970, 73–83.
You, Z., and Dai, Q. (2007). “Complex modulus predictions of asphalt mixtures using a micromechanical-based finite element model.” Can. J. Civ. Eng., 34(1), 1–11.
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Published In
Journal of Materials in Civil Engineering
Volume 22 • Issue 6 • June 2010
Pages: 618 - 627
Copyright
© 2010 ASCE.
History
Received: Dec 7, 2008
Accepted: Nov 4, 2009
Published online: Nov 6, 2009
Published in print: Jun 2010
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