Providing a Prediction Model for Stress Intensity Factor of Fiber- Reinforced Asphalt Mixtures under Pure Mode III Loading Using the Edge Notched Disc Beam (ENDB)

Document Type : Research Papers


1 Department of civil engineering, Yazd branch, Islamic Azad University, Yazd, Iran

2 Department of Civil Engineering, Yazd Branch, Islamic Azad University, Yazd, Iran

3 Islamic Azad University-Tehran North Branch, Tehran, Iran

4 Welding and Joining research center, School of Industrial Engineering, Iran University of Science and Technology (IUST), Tehran, Iran


The use of Edge Notched Disc Beam (ENDB) sample has been proposed as a suitable geometry in performing fracture tests in different loading modes. The most important features of the ENDB samples include easy making, quick and easy sampling, simple testing, and the ability to examine a wide range of pure and combined loading modes. Using a wide range of fracture tests, a statistical model is proposed to predict the stress intensity factors of asphalt mixtures in terms of the pure torsion mode (mode III) loading in this study. To this end, the experiments were carried out at different temperature conditions (-5, -15 and -25 °C), different loading conditions (0.5, 1 and 5 mm/min), and on control and modified asphalt mixtures with different percentages of polyolefin-aramid fibers. The results showed that, with increasing the fiber content and loading rate, the fracture strength increased with average 25%, while an increase in fracture toughness due to lower temperature had an effect of less than 5%.  Using the Response Surface Method (RSM), the prediction model of stress intensity coefficients of asphalt mixtures was presented in the pure torsion mode. The results of the proposed models had a good correlation with the results of the conducted fracture tests.


Aliha, M.R.M., Bahmani, A. and Akhondi, S. (2015a). "Determination of mode III fracture toughness for different materials using a new designed test configuration", Materials and Design, 86, 863-871.
Aliha, M.R.M., Bahmani, A. and Akhondi, S. (2015b). "Numerical analysis of a new mixed mode I/III fracture test specimen", Engineering Fracture Mechanics, 134, 95-110.
Aliha, M.R.M., Behbahani, H., Fazaeli, H. and Rezaifar, M. (2015c). "Experimental study on mode I fracture toughness of different asphalt mixtures", Scientia Iranica, Transactions A: Civil Engineering, 22(1), 120-130.
Aliha, M.R.M., Fazaeli, H., Aghajani, S. and Moghadas Nejad, F. (2015d). "Effect of temperature and air void on mixed mode fracture toughness of modified asphalt mixtures", Construction and Building Materials, 95, 545-555.
Aliha, M.R.M., Bahmani, A. and Akhondi, S. (2016). "A novel test specimen for investigating the mixed mode I+ III fracture toughness of hot mix asphalt composites; Experimental and theoretical study", International Journal of Solids and Structures, 90, 167-177.
Ameri, M., Mansourian, A., Heidary Khavas, M., Aliha, M.R.M. and Ayatollahi, M. (2011). "Cracked asphalt pavement under traffic loading; A 3D Finite Element analysis", Engineering Fracture Mechanics, 78(8), 1817-1826.
Ameri, M., Mansourian, A. Pirmohammad, S., Aliha, M.R.M. and M.R. Ayatollahi, (2012). "Mixed mode fracture resistance of asphalt concrete mixtures", Engineering Fracture Mechanics, 93, 153-167.
Avci, A., Akdemir, A. and Arikan, H. (2005). "Mixed-mode fracture behavior of glass fiber reinforced polymer concrete", Cement and Concrete Research, 35(2), 243-247.
Ayatollahi, M. and Saboori, B. (2015). "A new fixture for fracture tests under mixed mode I/III loading", European Journal of Mechanics - A/Solids, 51, 67-76.
Behbahani, H., Aliha, M.R.M., Fazaeli, H. and Aghajani, S. (2013). "Experimental fracture toughness study for some modified asphalt mixtures", Advanced Materials Research, 723, 337-344.
Berto,F., Cendon, D., Lazzarin, A. and Elices, M. (2013). "Fracture behavior of notched round bars made of PMMA subjected to torsion at – 60 °C", Engineering Fracture Mechanics, 102, 271-287.
Braham, A., Buttlar, W. and Ni, F. (2010). "Laboratory mixed-mode cracking of asphalt concrete using the single-edge notch beam", Road Materials and Pavement Design, 11(4), 947-968.
Chen, Z., Pei, J., Wang, T. and Amirkhanian, S. (2019). "High temperature rheological characteristics of activated crumb rubber modified asphalts", Construction and Building Materials, 194, 122-131.
Chowdhury, A., Button, J.W. and Bhasin, A. (2006). "Fibers from recycled tire as reinforcement in hot mix asphalt", Report No. SWUTC/06/167453-1, Texas Transportation Institute, Texas A&M University System.
Edwards, M. and Hesp, S. (2006). "Compact tension testing of asphalt binders at low temperatures". Transportation Research Record Journal, 1962(1), 36-43.
Eghbali, M.R., Fallah Tafti, M., Aliha, M.R.M. and Motamedi, H. (2019). "The effect of ENDB specimen geometry on mode I fracture toughness and fracture energy of HMA and SMA mixtures at low temperatures", Engineering Fracture Mechanics, 216(4), 106496.
Fazaeli, H., Behbahani, H., Amini, A.A., Rahmani, J. and Yadollahi, G. (2012). "High and low temperature properties of FT paraffin modified bitumen", Advances in Materials Science and Engineering, 2012(Jan. 1), 1-7. 
Fazaeli, H., Samin, Y., Pirnoun, A. and Dabiri, A. S. (2016). "Laboratory and field evaluation of the warm fiber reinforced high performance asphalt mixtures (case study Karaj; Chaloos road)", Construction and Building Materials, 122, 273-283.
Gao, J., Yan, K., He, W., Yang, Sh. and You, L. (2018). "High temperature performance of asphalt modified with Sasobit and Deurex", Construction and Building Materials, 164, 783-791.
Jasso, M., Hampl, R., Vacin, O., Bakos, D., Stastna, J. and Zanzotto, L. (2015). "Rheology of conventional asphalt modified with SBS, Elvaloy and polyphosphoric acid", Fuel Processing Technology, 140, 172-179.
Kim, H., Wagoner, M. and Buttlar, W. (2009). "Micromechanical fracture modeling of asphalt concrete using a single-edge notched beam test", Materials and Structures, 42(5), 677-689.
Lee, S.J., Rust, J.P., Hamouda, H., Kim, Y.R. and Borden, R.H. (2005). "Fatigue cracking resistance of fiber-reinforced asphalt concrete", Textile Research Journal, 75(2), 123-128.
Liu, S., Chao, Y.J. and Zhu, X. (2004). "Tensile-shear transition in mixed mode I/III fracture", International Journal of Solids and Structures, 41(22-23), 6147-6172.
Mahrez, A. and Karim, M.R. (2007). "Rutting characteristics of bituminous mixes reinforced with glass fiber", Journal of the Eastern Asia Society for Transportation Studies, 7, 2168-2172.
Molenaar, A., Scarpas, A., Liu, X. and Erkens, G. (2002). "Semi-circular bending test, simple but useful", Association of Asphalt Paving Technologists, 71, 794-815.
Polacco, G., Filippo, S. and Stastna, M.G. (2015). "A review of the fundamentals of polymer-modified asphalts: asphalt/polymer interactions and principles of compatibility", Advances in Colloid and Interface Science, 224, 72-112.
Putman, B.J. and Amirkhanian, S.N. (2004). "Utilization of waste fibers in stone matrix asphalt mixtures", Resources, Conservation and Recycling, 42(3), 265-274.
Shaopeng, W., Qunshan, Y., Ning, L. and Hongbo, Y. (2007). "Effects of fibers on the dynamic properties of asphalt mixtures", Journal of Wuhan University of Technology-Materials Science Edition, 22(4), 733-736.
Siddig, E., Feng, Ch. and Yi Ming, L. (2018). "Effects of ethylene vinyl acetate and nanoclay additions on high-temperature performance of asphalt binders", Construction and Building Materials, 169, 276-282.
Singh, D., Sawant, D. and Xiao, F. (2017). "High and intermediate temperature performance evaluation of crumb rubber modified binders with RAP", Transportation Geotechnics, 10, 13-21.
Taherkhani, H. and Afroozi, S. (2017). “Investigating the performance characteristics of asphaltic concrete containing nano-silica”, Civil Engineering Infrastructures Journal, 50(1), 75-93.
Taherkhani, H. and Arshadi, M.R. (2018). “Investigating the creep properties of PET-modified asphalt concrete”, Civil Engineering Infrastructures Journal, 51(2), 277-292.  
Tekalur, S., Shukla, A., Sadd, M. and Lee, W. (2009). "Mechanical characterization of a bituminous mix under quasi-static and high strain rate loading", Construction and Building Materials, 23(5), 1795-1802.
Vural Kök, B., Yılmaz, M. and Akpolat, M. (2014). "Evaluation of the conventional and rheological properties of SBS+Sasobit modified binder", Construction and Building Materials, 63, 174-179.
Vural Kök, B., Yilmaz, M. and Guler, M. (2011). "Evaluation of high temperature performance of SBS+Gilsonite modified binder", Fuel, 90(10), 3093-3099.  
Wagoner, M., Buttlar, W. and Paulino, GH. (2005a). "Development of a single-edge notched beam test for asphalt concrete mixtures", Journal of Testing and Evaluation, 33(6), 452-460.
Wagoner, M., Buttlar, W., Paulino, G. and Blankenship, P. (2005b). "Investigation of the fracture resistance of hot-mix asphalt concrete using a Disk-Shaped Compact Tension test", Transportation Research Record, 1929(1), 183-192.
XJ, L. and Marasteanu, M. (2010). "Using semicircular bending test to evaluate low temperature fracture resistance for asphalt concrete", Experimental Mechanics, 50(7), 867-876.
XJ, L. and MO, M. (2010). "The fracture process zone in asphalt mixture at low temperature", Engineering Fracture Mechanics, 77(7), 1185-1190.
Xu, O., Xiao, F., Han, S., Amirkhanian S. and Wang, Z. (2016). "High temperature rheological properties of crumb rubber modified asphalt binders with various modifiers", Construction and Building Materials, 112, 49-58.