Diffuse Interface Model to Investigate the Asphalt Concrete Cracking Subjected to Shear Loading at Low Temperature
Publication: Journal of Cold Regions Engineering
Volume 31, Issue 2
Abstract
In this paper, a diffuse interface model, namely, the phase-field model (PFM) is proposed to model asphalt concrete cracking subjected to shear loading (Mode II) at low temperature. This method describes the microstructure of asphalt concrete using a phase-field variable. To account for the growth of cracks, a nonconserved Allen-Cahn equation is adopted to evolve the phase-field variable. The whole PFM system is implemented and solved in a finite-element software program. The simulation results are then validated by semicircular bending (SCB) tests at and four-point bending tests at . It is discovered that PFM simulations of crack initiation and propagation in asphalt concrete at low temperature agree very well with the experimental results.
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Acknowledgments
The first author would like to express his sincere gratitude to Dr. Lei Zhang at Research Institute of Highways, Ministry of Transport, China for sharing the X-ray CT image. The research performed in this paper is supported by National Natural Science Foundation of China (No. 41372320), Natural Science Foundation of Shandong Province (ZR2015EQ009), and Fundamental Research Funds for the Central Universities (06500036).
References
Ameri, M., Mansourian, A., Heidary Khavas, M., and Ayatollahi, M. R. (2011). “Cracked asphalt pavement under traffic loading—A 3D finite element analysis.” Eng. Fract. Mech., 78(8), 1817–1826.
Amiri, F., Millan, D., Shen, Y., Rabczuk, T., and Arroyo, M. (2014). “Phase-field modeling of fracture in linear thin shells.” Theor. Appl. Fract. Mech., 69, 102–109.
ASTM. (2010). “Standard test method for determining fatigue failure of compacted asphalt concrete subjected to repeated flexural bending.” ASTM D7460-10, West Conshohocken, PA.
Braham, A. (2008). “Fracture characteristics of asphalt concrete in mode I, mode II and mixed-mode.” Ph.D. dissertation, Univ. of Illinois at Urbana-Champaign, Champaign, IL.
Braham, A., and Buttlar, W. (2009). “Mode II cracking in asphalt concrete.” Advanced testing and characterization of bituminous materials, A. Loizos, M. N. Partl, T. Scapas, and I. M. Al-Qadi, eds., CRC Press, London, 699–706.
Cahn, J., and Hilliard, J. (1958). “Free energy of a nonuniform system. I: Interfacial free energy.” J. Chem. Phys., 28(2), 258–267.
Chan, Y., Paulino, G., Feng, B., and Sutradhar, A. (2010). “Dependence of crack tip singularity on loading functions.” Mech. Res. Commun., 37(2), 191–197.
Chen, L., Qian, Z., and Lu, Q. (2014). “Crack initiation and propagation in epoxy asphalt concrete in the three-point bending test.” Road Mater. Pavement Des., 15(3), 507–520.
Cirak, F., Ortiz, M., and Pandolfi, A. (2005). “A cohesive approach to thin-shell fracture and fragmentation.” Comput. Methods Appl. Mech. Eng., 194(21), 2604–2618.
COMSOL Multiphysics [Computer software]. COMSOL, Pune, India.
Dave, E., Ahmed, S., Buttlar, W., Bausano, J., and Lynn, T. (2010). “Investigation of strain tolerant mixture reflective crack relief systems: An integrated approach.” Proc. Assoc. Asphalt Paving Technol., 79, 119–154.
Dave, E., and Hoplin, C. (2015). “Flexible pavement thermal cracking performance sensitivity to fracture energy variation of asphalt mixtures.” Road Mater. Pavement Des., 16(Sup 1), 423–441.
Du, L., and Zhang, R. (2014). “Phase field simulation of dendrite growth with boundary heat flux.” Integrating Mater. Manuf. Innovation, 3(1), 18.
Erdogan, F., and Sih, G. (1963). “On the crack extension in plates under plane loading and transverse shear.” J. Fluids Eng., 85(4), 519–525.
Feng, J., Liu, C., Shen, J., and Yue, P. (2005). “An energetic variational formulation with phase field methods for interfacial dynamics of complex fluids: Advantages and challenges.” Model. Soft Matter, 141, 1–26.
Ghafari, S., and Nejad, F. (2015). “R-curve behavior and crack propagation properties of asphalt concrete at low temperatures.” J. Civ. Eng. Manage., 21(5), 559–570.
Griffith, A. A. (1921). “The phenomena of rupture and flow in solids.” Philos. Trans. R. Soc. London, Seria A, 221(582–593), 163–198.
Guan, B., Chen, S., and Xiong, R. (2011). “Low temperature anti-cracking performance of brucite-fiber-reinforced asphalt concrete.” Adv. Mater. Res., 228, 23–28.
Hou, Y., Wang, L., Yue, P., and Pauli, T. (2013). “Mode II cracking failure in asphalt concrete by using a non-conserved phase field model.” Multi-Scale Model. Charact. Infrastruct. Mater., 8, 127–138.
Hou, Y., Wang, L., Yue, P., Pauli, T., and Sun, W. (2014). “Modeling mode I cracking failure in asphalt binder by using nonconserved phase field model.” J. Mater. Civ. Eng., 684–691.
Kim, H., and Partl, M. (2012). “Development of a double-torsion fracture test to predict channelized crack behaviors of asphalt concrete.” Constr. Build. Mater., 26(1), 694–700.
Kim, K., Kweon, S., Doh, Y., and Park, T. (2003). “Fracture toughness of polymer-modified asphalt concrete at low temperature.” Can. J. Civ. Eng., 30(2), 406–413.
Kim, S., Wargo, A., and Powers, D. (2010). “Asphalt concrete cracking device to evaluate low temperature performance of HMA.” J. Assoc. Asphalt Paving Technol., 79, 157–187.
Kokini, K., Marangoni, R., and Dorogy, G. (1987). “Cracking propagation under Mode II loading: An effective stress intensity factor method.” Eng. Fract. Mech., 28(1), 93–100.
Kuhn, C., and Muller, R. (2010). “A continuum phase field model for fracture.” Eng. Fract. Mech., 77(18), 3625–3634.
Liu, J. (2011). “Low temperature cracking evaluation of asphalt rubber mixtures using semi-circular bending test.” Adv. Mater. Res., 243, 4201–4206.
Ni, F., Yang, S., Zhu, Y., and Braham, A. (2012). “Capturing mixed-mode cracking of asphalt concrete using the Arcan test.” Int. J. Pavement Eng., 15(1), 43–50.
Perez, S., Balay, J., Tamagny, P., and Petit, Ch. (2007). “Accelerated pavement testing and modeling of reflective cracking in pavements.” Eng. Fail. Anal., 14(8), 1526–1537.
Pirmohammad, S., and Ayatollahi, M. (2014). “Fracture resistance of asphalt concrete under different loading modes and temperature conditions.” Constr. Build. Mater., 53, 235–242.
Wise, S., Lowengrub, J., Kim, J., and Johnson, W. (2004). “Efficient phase-field simulation of quantum dot formation in a strained heteroepitaxial film.” Superlattices Microstruct., 36(1–3), 293–304.
Yue, P., Zhou, C., Feng, J., Ollivier-Gooch, C. F., and Hu, H. H. (2006). “Phase-field simulation of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing.” J. Comput. Phys., 219(1), 47–67.
Zeng, G., Yang, X., Yin, A., and Bai, F. (2014). “Simulation of damage evolution and crack propagation in three-point bending pre-cracked asphalt mixture beam.” Constr. Build. Mater., 55, 323–332.
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©2016 American Society of Civil Engineers.
History
Received: Apr 15, 2015
Accepted: Aug 9, 2016
Published online: Oct 24, 2016
Discussion open until: Mar 24, 2017
Published in print: Jun 1, 2017
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